Department of Mathematics with experienced faculties

Dr. SHASHIREKHA B RAI

DesignationProfessor
Email sbrai8757@nitte.edu.in
Joining date 27-10-1986

Ph. D in Lattice Theory from Mangalore University 2003
M.Phil in Lattice Theory from Mangalore University 1994
M.Sc in Mathematics from Mangalore University 1986

Head of the Department of Mathematics from 22-09-2004 to 11-07-2016
Professor at NMAM Institute of Technology from 01-03-2004 till date
Associate Professor at NMAM Institute of Technology from 01-02-1999 to 28-02-2004
Assistant Professor at NMAM Institute of Technology from 01-03-1994 to 31-01-1999
Lecturer at NMAM Institute of Technology from 27-10-1986 to 28-02-1994

Lattice Theory and ordered structures
Graph Theory
Linear Algebra

National Merit Scholarship for academic performance from 1978-1983
Certificate of excellence for the paper "On p-chains in pseudo-ordered sets" presented at International conference on Mathematical Modeling and Applied Soft Computing 2012, Coimbatore
Invited speaker for the 6th International conference 2005, held at Islamabad , Pakistan.

Departmental responsibilities

ISO Co-ordinator
Member-BOS for UG & PG
Member-BOE for UG & PG
Member-DUGC
Member-DAAB and DAB
Staff advisor for Geo-Mitra.(an event organized by E&E Dept. in association with Mathematics Dept.)

Institution level responsibilities

Editor-College magazine(Nidarshan 2017, 2018, 2019, 2020, 2021, 2022, 2023)
Member-Malpractice committee
Member-Student Monitoring & Performance cell

Life Member of Indian Society for Technical Education
Life Member of Indian Mathematical Society

For M.Tech

Applied Mathematics
Advanced Numerical Analysis

For MCA

Discrete Mathematics
Probability , Statistics and Queing Theory
Numerical Analysis and Computer Algorithms

For UG

Linear Algebra
Discrete Mathematical Structures
Graph Theory
Probability & Statistics
Numerical Analysis
Vector Calculus
Ordinary and Partial Differential Equations
Fourier , Laplace and Z- transforms
Differential Calculus & Integral Calculus
Special Functions

Ph.D Guided - 1 completed

International Journals

Shashirekha B.Rai and S. ParameshwaraBhatta, Characterization of pseudo chains in pseudo-ordered sets, Asian European Journal of Mathematics, Vol.14 No.5 (2021).DOI: 10.1142/S1793557121500741
Shashirekha B.Rai and Prashantha Rao, Modular, Weakly distributive and Normal trellises, Journal of Physics- Conf Series, 1850 (2021).
Shashirekha B.Rai, Characterization of Semimodular Chi-Lattices, Asian European Journal of Mathematics, Vol.14 No.1 (2020).
Prashantha Rao and Shashirekha B Rai, Translations and Derivations in C-trellises, Journal of Physics(Conf. Series) 1344 (2019) 012027
Prashantha Rao and Shashirekha B Rai, Convex and Weakly Convex Subsets of a Pseudo ordered set, Int. J. Math. And Appl., 7(1)(2019), 149-154, ISSN: 2347-1557
Shashirekha B. Rai , Prashantha Rao, Filters in Semitrellises, International Journal of Pure and Applied Mathematics 114, No. 4, 2017 , 709-717
Shashirekha B. Rai ; S. Parameshwara Bhatta, Derivations and Translations on Trellises. Acta Universitatis Palackianae Olomucensis" Facultas Rerum Naturalium Mathematica 2015 ,Vol. 54, No1, pp.129-136.
Shashirekha B. Rai , Prashantha Rao, On Nodes in Trellises International Journal of Pure and Applied Mathematics 105, 4 (2015) ,647-652
Shashirekha B. Rai , Prashantha Rao, W- Convex subsets of a Pseudo-ordered set, Global Journal of Pure and Applied Mathematics 11, 6 (2015) 4825-4830
Shashirekha B. Rai, On P-chains in pseudo-ordered sets, Proceedings of the International conference on Mathematical Modeling and Applied Soft Computing (2012), Vol.1 328-333.
Shashirekha B. Rai, On distributive , standard and neutral elements in trellises. Acta Math. Univ. Comenianae, Vol.77 ( 2008), No.2, p.167-174
Shashirekha B. Rai,and S. Parameshwara Bhatta, Enumeration of trellises, South East Asian Journal of Math. & Math. Sc. Vol.3 No. 2 (2005), pp.23-32
Shashirekha B. Rai, On pseudo-ordered sets and trellises, Proceedings of the 6th International conference (2005), held at Islamabad , Pakistan.
S.Parameshwara Bhatta and H. Shashirekha , Some characterization of completeness for trellises in terms of joins of cycles, Czechoslovak Mathematical Journal, 54(129) 2004, 267-272
S.Parameshwara Bhatta and H. Shashirekha; A characterization of completeness for trellises, Algebra Universalis 44(2000) 305-308.

National Journals

Shashirekha B. Rai, Path preserving mappings in psosets, Journal of Mathematics Education Vol XLIV-2006
Shashirekha B. Rai, On Prime ideals in trellises, Journal of Mathematics Education Vol. 39, No. 4, 2005 , 245-249

Papers presented in International/National Conferences/Semiars

Modular,weakly distributive and normal trellises, 2nd International conference on Mathematical Modeling and Computational Methods in Science & Engineering(ICMMCMSE-2020) during January 22-24, 2020, held at Alagappa University, Karaikudi, Tamilnadu.
On P-chains in pseudo-ordered sets, International conference on Mathematical Modeling and Applied Soft Computing (MMASC-2012), during 11th to 13th July, 2012, held at Coimbatore Institute of Technology, Coimbatore, Tamilnadu.
On pseudo-ordered sets and trellises, 6th International conference 2005, during 20th to 22nd August ,2005 held at Islamabad , Pakistan.
Distributive, standard and neutral elements in trellises, 14th International Conference of the Jangjeon Mathematical Society held at University of Mysore during December 22-24, 2003.
Enumeration of Non isomorphic trellises with at most five points in the National Seminar on Algebra and Applications held at Andhra University, Visakhapatnam during August 30-September 1, 2002
Characterization of completeness for trellises in terms of joins of cycles, 66th Annual Conference of Indian Mathematical Society held at Vivekanand Arts, Sardar Dalipsingh Commercxe & Science College, Aurangabad during December 22-25, 2000
On some characterization of completeness for trellises and fixed point property in 65th Annual conference of Indian Mathematical Society held at A.P.S University, Rewa,Madhya Pradesh during December 20-23, 19

Workshops Organized

Convener of Two Day Workshop on "Analytical, Numerical and Statistical Techniques-Applications" during 28th and 29th of July 2017
Convener of Two Day workshop on Transform Techniques and Mat Lab Applications, 16th & 17th of April 2015
Convener of a Workshop on Technical documentation using LaTex -14th July 2014
Convener of Two Day Workshop on Mathematical & Statistical Methods-Applications-(TEQIP Funded) during 5th & 6th of December 2013
Convener of Three Day Faculty Development Program on Linear Algebra and its Applications from 3rd to 5th of March 2011.
Convener of 2 day workshop on Engineering Applications of Mathematical Sciences during 8th & 9th of February 2007

Chairman of Board of Examiners for B.E- Engineering Mathematics of Mangalore University during- 2003-2004
Member of Under-Graduate Board of Studies in Mathematics of Mangalore University during 1997-1999
Member of the Academic Adhoc Committee of Basic Sciences of Vishveshwaraya Technological University in 1999.
Member of Board of Examiners for B.E- Engineering Mathematics of Mangalore University during 1998 -2002

Foreign Universities Visited

University of Minnesota, Twin Cities, USA- April 2016
Quaid-i-Azam University, Islamabad August -2005

Dr. KUMUDAKSHI

DesignationAssociate Professor & Head
Email skumudakshi@nitte.edu.in
Joining date 23-07-2007

Ph.D. in Mathematics from NITK, Surathkal in 2016
M.Sc. in Mathematics from Mangalore University, Konaje in 2005
B.Sc. in Maths, Stats, Comp.Sc. from St. Agnes College , Mangalore in 2002

Lecturer in Chinmaya Pre-University College from 15-07-2005 to 22-07-2007
Lecturer in NMAM Institute of Technology from 23-07-2007 to 23-07-2013
Assistant Professor Gd-I in NMAM Institute of Technology from 23-07-2013 to 23-07-2014
Assistant Professor Gd-II in NMAM Institute of Technology from 23-07-2014 to 07-12-2016
Assistant Professor Gd -III in NMAM Institute of Technology from 08-12-2016 to 30-11-2017
Associate Professor in NMAM Institute of Technology from 01-12-2017
Associate Professor and Head from 03-07-2019

Directed Graphs and combinatorics
Graph Theory
Labeling Problems
Algebraic Graph theory
Counting Techniques

Ist year Sessional Co-ordinator
Department Research co-ordinator
BOE, BOS, DUGC member

Engineering Mathematics-I

Engineering Mathematics-II

Engineering Mathematics-III

Engineering Mathematics-IV

MATDIP-I

MATDIP-II

International Journals

Hegde, S. M., Kumudakshi, Construction of graceful digraphs using algebraic structures. J. Discrete Math. Sci. Cryptogr., 19,103-116 (2016).(Scopus Indexed)(SJR 0.12)
Hegde, S. M., Kumudakshi, Construction of Graceful Directed Graphs ,J. Comb. Info. Sys. Sci., 40, 252-263 (2015)
Hegde, S. M., Kumudakshi, Graceful digraphs and complete mappings,Electronic Notes in Discrete Mathematics, 48,151-156 (2015). (Scopus Indexed) (SNIP 0.389, SJR 0.320, Impact factor 0.6)
Hegde, S. M., Kumudakshi, Further Results On Graceful Directed Graphs,Electronic Notes in Discrete Mathematics, 53, 149-154,(2016). (Scopus Indexed) (SNIP 0.389, SJR 0.320, Impact factor 0.6)

International Conferences

S. M. Hegde and Kumudakshi, Graceful digraphs and complete mappings, at Eighth International Workshop on Graph Labelings at Kalasalingam University, Tamil Nadu during 3rd-6th December, 2014.
S. M. Hegde and Kumudakshi, Construction of Graceful Digraphs , at 23 rd IMSCT at N.I.T.K, Surathkal during 18th-21st December, 2014.
S. M. Hegde and Kumudakshi, Further results on graceful directed graphs, at International Conference on Graph Theory and its Applications at Amrita University, Coimbatore during 16th-19th December, 2015.

National Conferences

S.M. Hegde and Kumudakshi, On Graceful Directed Graphs, at National Conference on Numerical Methods and Network Analysis at Milagress College, Kallianpur, Udupi during 17th - 18th of July, 2014.
S.M. Hegde and Kumudakshi, Gracefulness of some oriented digraphs, at NCTESE-2017 at SMVIT, Udupi during 23rd -24th Feb 2017.

Dr. VASANTH K R

DesignationAssistant Professor Gd-III
Email drvasanth@nitte.edu.in
Joining date 15-01-2021

PhD in Applied Mathematics (Tribology) from REVA University, Bangalore in 2019
M.Sc in Applied Mathematics and Computing from Manipal University, Manipal in 2014
ADCA(Advance Diploma in Computer Applications) from Karnataka Computer Academy in 2012

Lecturer in Mangalore Marine College and Technology from 07-07-2014 to 08-07-2015
Assistant Professor in Alva’s Institute of Engineering and Technology from 20-07-2015 to 02-02-2019
Assistant Professor in A J Institute of Engineering and Technology from 15-02-2019 to 31-12-2020
Assistant Professor Grade III in NMAMIT from 15-01-2020 till date.

Partial Differential Equations
Tribology

Received "Research Excellence Award" by INSC(Institute of Scholars)

Department Timetable Coordinator
1st year Timetable Coordinator
Class Advisor

Engineering Mathematics-I
Engineering Mathematics-II
Vector calculus and transform techniques
Engineering mathematics-III
Advanced Mathematics-I
Linear algebra and probability theory
Engineering mathematics-IV
Matrix algebra and calculus
Differential equations and Laplace transforms
Numerical Methods
Numerical methods and transform techniques
Numerical analysis & analytical geometry (B.Sc. Honors)

R. Vinutha, B.N. Hanumagowda, K.R. Vasanth, "Theoretical analysis of effect of MHD, couple stress and slip velocity on squeeze film lubrication characteristics of Long Cylinder and Infinite Rough Plate", Tribology International, Volume 191, March 2024, 109164
Pai, N.P, Devaki B., Pareekshith, Sampath Kumar V.S, Vasanth, K.R., "RADIATION EFFECT ON MHD CASSON FLUID FLOW BETWEEN PARALLEL PLATES OF DIFFERENT PERMEABILITY", Global and Stochastic AnalysisThis link is disabled., 2023, 10(2), pp. 135-149.
M. Archana, K. Ganesh Kumar, D.G. Prakasha, K.R. Vasanth, M. Ijaz Khan, "Improvement for heat transfer applications through a ternary alloy on flow over a melted sheet", International Journal of Thermofluids, 2023, 20, 100505.
Chaithra N, Hanumagowda B.N., Sreekala C.K, Vasanth, K.R., "Study about the characteristics of squeeze film between rough porous curved annular plates in the presence of micropolar fluids", Materials Today: Proceedings, 2023.
Vasanth K R., Hanumagowda, B.N., "Porous Rough Circular Stepped Plated Lubricated With Piezo-Viscous Dependency And Couple Stress Fluid", AIP Conference Proceedings, 2022, 2516, 170002.
Vasanth K R., Hanumagowda, B.N., "rough porous circular plates lubricated with couple stress fluid and pressure dependent viscosity". Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 2022, 12(3), pp. 1123-1134
K R Vasanth, B N Hanumagowda and J Santhosh Kumar, "Combined Effect of Piezoviscous Dependency and Non-Newtonian Couple Stress on Squeeze-Film Porous Annular Plate", IOP Conf. Series: Journal of Physics: Conf. Series 1000 (2018) 012080 doi :10.1088/1742-6596/1000/1/012080.
Vasanth Karigowdar Rajendrappa, Hanumagowda Bannihalli Naganagowda, Jogyalla Santhosh Kumar, Raju Buchanahalli Thimmaiah, "Combined Effect of Piezo-Viscous Dependency and Non- Newtonian Couple Stresses in Porous Squeeze-Film Circular Plate", Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 51, Issue 2 (2018) 158-168.
B N Hanumagowda , B T Raju , J Santhosh Kumar and K R Vasanth ,"Effect of pressure dependent viscosity on couple stress squeeze film lubrication between porous circular stepped plates", IOP Conf. Series: Journal of Physics: Conf. Series 1000 (2018) 012081 doi :10.1088/1742-6596/1000/1/012081.
BN Hanumagowda, BT Raju, J Santhosh Kumar and KR Vasanth, "Combined effect of surface roughness and pressure-dependent viscosity over couple-stress squeeze film lubrication between circular stepped plates", Proc IMechE Part J: J Engineering Tribology 2018, Vol. 232(5) 525-534.

National & International Conference:

Presented a paper titled "Combined Effect of Piezoviscous Dependency and Non-Newtonian Couple Stress on Squeeze-Film Porous Annular Plate" at 10th National Conference on Mathematical Techniques and Applications-2018 held at SRM INSTITUTE OF Science and Technology on 5th and 6th January 2018.
Presented a paper titled "Combined Effect of Piezo-Viscous Dependency and Non- Newtonian Couple Stresses in Porous Squeeze-Film Circular Plate" at First REVA Research Conclave held in Reva University on 2nd March 2018.
Presented a paper titled, "Porous Rough Circular Stepped Plated Lubricated With Piezo-Viscous Dependency And Couple Stress Fluid", at International Conference on Mathematical Techniques and Applications on 24th - 26th March 2021.
Presented a paper titled, "Study about the characteristics of squeeze film between rough porous curved annular plates in the presence of micropolar fluids", at International Conference on Material science and Mathematics for advance Technologies on 23rd -24th December 2022.

Dr. ASHWINI KUMARI

DesignationAssistant Professor Gd-III
Email dr.ashwini@nitte.edu.in
Joining date 07-07-2022

Ph.D in Statistics from Mangalore University, Konaje in 2020
M.Sc in Statistics from Mangalore University, Konaje in 2009
B.Sc in Physics, Maths, Stats, from S.D.M. College, Ujire in 2007

Lecturer in St. Aloysius Pre - University College from 01-06-2009 to 30-04-2010.
Lecturer in M.G.M college, Udupi from 1-06-2010 to 30-4-2013
Lecturer in Alva’s College , Moodbidri from 3-06-2013 to 4-6-2022

Financial time series Models
Logistic Regression

Additional Responsibilities

Member of Board of Studies at Mangalore University and St.Aloysius College
Member of BOE- Mangalore University, S.D.M, College, St.Agnes, St.Aloysius.

Descriptive Statistics & Probability Theory
Sampling Theory
Statistical Inference-1
Operations Research
Time Series

Journal Publications

Ismail, B. and Ashwini Kumari, Logistic Regression Model For Prediction Of Bankruptcy, International Journal of Research in Commerce, IT & Management ,Vol.2 (2012), 58-64.
Ismail, B. and Ashwini Kumari, Semiparametric Estimation of Volatility, International Journal of Mathematical Archive Vol.5 (2014),65-72.
Ashwini Kumari, Partial GARCH Models for Forecasting Volatility. International Journal of Innovative Research in Technology Vol.8 (2021), 608-613.

National Conferences

Ashwini Kumari and Ismail, B. ,Predicting Bankruptcy using logistic regression , XXXI st annual Convention of Indian Society for Probability and Statistics(ISPS), Cochin University of Science and Technology, Cochin, Dec.19-22, 2011.
Ismail, B. and Ashwini Kumari , A New Approach for Forecasting Volatility, National Conference on "Reaching the unreached through science and technology: Recent Advances in Physical ,Chemical, Mathematical and Biological Sciences for Energy, Health and Environment held during September 8-9 , 2017 at Mangalore University, Mangalore.

Dr. PRASHANTHI K S

DesignationAssistant Professor Gd-III
Email prashanthi.ks@nitte.edu.in

B.Sc. - St. Agnes College, Mangalore
M.Sc. - Mangalore University
Ph.D - NITK, Surathkal

Lecturer - Vivekananda College of Engineering and Technology, Puttur - 02/09/2005 – 20/11/2010
Sr. Lecturer - NMAMIT - 3/1/2011 - 18/7/2013
Full time research scholar - NITK, Surathkal - 19/07/2013 – 12-09-2018
Sr. Assistant Professor - Alva’s Institute of Engineering & Technology, Mijar, Moodbidri - 18/11/2020 – 12/05/2023
Assistant Professor Grade III - NMAMIT - 01/07/2023 – till date

Calculus and Linear Algebra
Advanced Calculus and Numerical Methods
Transform Calculus, Fourier Series and Numerical Methods
Complex Analysis, Probability and Statistical Methods

Online Workshop "Hands on Python webinar for Beginners" organized by Bangalore Institute of Technology, Bengaluru and KSTA from 22 -26, May 2023
The online Lecture Series on "Nonlinear Dynamics and Applications" organized by the Department of Mathematics, Indian Institute of Technology Indore, INDIA, during 13-16th February, 2023.
Webinar on "Queing Theory" organized by Skill Development Centre, Bangalore Institute of Technology, Bengaluru from 10th Jan to 12th Jan, 2023.
Workshop for VTU Affiliated College Faculty on "MATHEMATICS USING PYTHON" organized by Vidyavardhaka College of Engg. Mysuru and VTU Belagavi from 8th to 10th December, 2022.
Webinar on "TEACHING AND LEARNING OF MATHEMATICS, IN
ENDEMIC AND BEYOND" organised by the Mathematics pedagogy unit of St. Xavier's Institute of Education (Autonomous) on 27th August, 2022.
Online Faculty Development programme on "Ramanujan's Contribution to Number Theory and its Applications" organized from 03 to 06 August 2022, by the Department of Basic Science, VCET, Puttur, in association with the Vision Group on Science and Technology (VGST), Karnataka Science and Technology Promotion Society (KSTePS), Bengaluru.
AICTE - VTU Joint Teachers Training Programme -"An Overview of Teaching Techniques in Mathematics Laboratory Using Python Programming" by VTU Human Resource Development Centre (VTU - HRDC), Centre for PG Studies, VIAT, Muddenahalli, Chikkaballapur from 21st & 25th February 2022.
Webinar on "Algorithms and Mathematics" By the Department of Mathematics, St. Joseph Engineering College, Mangaluru on 12th Feb,2022
International workshop on "Fractional Derivatives: Theory and Computations with Applications (FDTCA 2021)" by the Department of Mathematical Sciences, IIT (BHU) Varanasi, November 12-14, 2021.
International Symposium on "Recent Advances in Fractional Calculus" by the Department of Mathematical Sciences, P. D. Patel Institute ofApplied Sciences (PDPIAS), Charotar University of Science and Technology(CHARUSAT), Gujarat, India held on 30th September and 1st October, 2021.
National level workshop on "Sage Math and Maxima" by the Department of Mathematics, AIET, Moodbidri from 21st to 25th September 2021.
Special Online Lecture Series on "Applications of Mathematics in Engineering Domains (AMED 2021) by the Department of Mathematics, St. Joseph Engineering College, Mangalore from 14th to 20th September 2021.
FDP on "Advanced Multivariate Data Analytics Using R and SEM Using AMOS" by MBA dept, NitteMeenakshi Institute of Technology, Bengaluru from 21st to 25th June 2021.
National Level Workshop on "Algebra, Analysis and Differential Equations (WAAD 2021) by Mathematics Dept, NITT, from 14th to 18th June 2021.
National Level Online FDP on "Linear Algebra and its Applications" by theMathematics Department, BMS Institute of Technology and Management, Bengaluru from 10th to 15th May 2021.
FDP on "Inculcating Universal Human Values in Technical Education" by AICTE from 3rd to 7th May, 2021.
FDP on "Applications of Mathematical Concepts in Data Analytics and Machine Learning using Python", by Computer Science Dept. Alva's Institute of Engg. & Technology, Mangalore on 19th to 21st April 2021.
National conference on Mathematical Modelling with Differential Equations - NCMMDE202 organized by PG and research department of mathematics, Dwaraka Doss Govardhan Doss Vaishnav College, Chennai on 14th to 17th October 2020.
Virtual lecture series on theory and applications of special functions and fractional calculus organized by the department of mathematical sciences, P. D. Patel Institute of applied sciences, Changa university of science and technology, Changa Gujarat, during 25 - 27 September 2020.
AICTE sponsored one week short term training programme on Mathematica Scientific Research tool organized by Sagar Institute of Research and Technology, Bhopal from 21st to 26th September 2020.
Five days International seminar on recent Research in mathematics (ISRRM - 2020) organized by department of mathematics school of Science, GITAM, Bengaluru from 11th to 15th September 2020.
The national level mathematics webinar series conducted by the department of mathematics, Mangalore University, during September 9-12, 2020.
International webinar on Numerical and Scientific Computing organized by the Dept. of mathematics and statistics, School of Basic Sciences, Manipal University Jaipur on 28th July 2020.
National level online workshop on Programming Essentials for Mathematics using Python organized by the Dept. of mathematics, CHRIST (Deemed to be University), Bangalore during 9th to 14th August, 2020.
A workshop on Inverse Problems and Applications organized by the Dept. of mathematical and computational sciences and Dept. of mechanical engineering, NITK, Surathkal during 9th to 13th July, 2018.
National workshop on Topics in Partial Differential Equations organized by Dept. of mathematical and computational sciences, NITK, Surathkal from 24th to 28th July, 2017.
One day Women Summit, Tides 2016, NITK, Surathkal on 30th September, 2016.
National Meet of Research Scholars in mathematical Sciences (NMRSMS-13) organized by the Dept. of mathematics and Dept. of statistics, University of Pune, during 24th to 28th February, 2014.
National workshop "Computer Applications based on modern Algebra" organized by Dept. of mathematics and Dept. of computer sciences, Manipal Institute of Technology, Manipal, during 3rd- 5th January, 2013.
National Workshop on "Research methodology and Effective publication practices" organized by NMAMIT, Nitte, during 25th-27th July, 2012.
National Conference on "Distance in Graphs" organized by the Dept. of mathematics, Poornaprajna College, Udupi, in collaboration with Forum of Mathematics Teachers of Mangalore University, during 4th to 6th October, 2010.
Workshop on Engineering Applications of mathematical Sciences organized by the Dept. of mathematics and humanities, NMAMIT, Nitte during 8-9 February, 2007.
State level seminar on Ramanujan's Contributions to Number Theory and Research Opportunities in Graph theory organized by the Dept. of mathematics, St. Philomena College, Puttur, D.K., on 27th and 28th July, 2006.

Research Publication (International)

Chandhini, G., Prashanthi, K. S., &Vijesh, V. A. (2018). A radial basis function method for fractional Darboux problems. Engineering Analysis with Boundary Elements, 86, 1-18.
Prashanthi, K. S., &Chandhini, G. (2019). Regularization of Highly Ill-Conditioned RBF Asymmetric Collocation Systems in Fractional Models. In Advances in Mathematical Methods and High Performance Computing (pp. 105-116). Springer, Chap.
Chandhini, G., Prashanthi, K. S., &Vijesh, V. A. (2020). Direct and integrated radial functions based quasilinearization schemes for nonlinear fractional differential equations. BIT Numerical Mathematics, 60(1), 31-65.

Papers Presented in Conference (International)

"Numerical Study of a Radial Basis Functions Based Scheme For Nonlinear Fractional Differential Equations"in the 23rd International Conference of Forum for Inter disciplinary Mathematics (FIM) on "Interdisciplinary mathematical, Statistical and Computational Techniques (IMSCT)-2014", held during 18-20 December, 2014 at the Department of Mathematical and Computational Sciences, NITK, Surathkal.
"An integrated radial basis function scheme for fractional nonlinear problems" in the International conference on "Recent Advances in Theoretical and Computational Partial Differential Equations with Applications" held at University Institute of Engineering and Technology, Panjab University, Chandigarh, during 05-12-2016 to 09-12-2016.
"Regularization of Highly Ill-conditioned RBF Asymmetric Collocation Systems in Fractional Models " in the 2nd International conference on "Modern mathematical Methods and High Performance Computing in Science and Technology" organized by Inderprastha Engineering College, Gaziabad, on January 4-6, 2018.

Resource Person of: 1. A guest lecture on "Research Methodology" by Alva's college, Moodbidri on 9th December, 2021.
2. Six days lecture series on "Probability and Statistics for Data Science" by Information Science and Engineering Department, AIET, Moodbidri on 30th August to 4th September, 2021.
Reviewer in Journal of Applied Mathematics and Computing, Springer (Scopus and SCI Expanded indexed)
Recognised as UG Textbook Translator in Regional Language Kannada from the Visvesvaraya Technological University.
Recognised as Research Supervisor from the Visvesvaraya Technological University.
Successfully completed Innovation Ambassador (IA) training both in 'Basic and Advanced Level' conducted in online mode by MOE's Innovation Cell & AICTE.

Dr. GIRIJA K P

DesignationAssistant Professor Gd-III
Email girija.kp@nitte.edu.in
Joining date 01-07-2023

Ph.D. in Mathematics from Manipal Academic of Higher Education, Manipal -2021.
M.Sc. in Mathematics from Kuvempu University -2015.
B.Sc. (Physics, Mathematics and Electronics) from Kuvempu University -2013.

Worked as Assistant Professor in Mathematics department at M.I.T.E Moodabidri from 21/12/2020 to 30/11/2021
Worked as Senior Assistant Professor in CSE department at M.I.T.E Moodabidri from 01/12/2021 to 18/05/2023

Graph Theory and Combinatorics
Energy of graphs.
Labeling of graphs.

Calculus and Differential Equations
Advanced Calculus and Numerical Methods
Transform Calculus, Fourier Series and Numerical Techniques
Complex Analysis, Probability and Statistical Methods

Girija K . P., One week workshop on Algebraic Graph Theory, NITK., Surathkal, (January 25-30 2018).
Girija K . P., Instructional Workshop on computational Biology and Bioinformatics, MIT., Manipal, (December 02-07 2019).
Girija K. P., Workshop Increase your research output with Taylor & Francis eBooks and Journals. Organised in collaboration with Visvesvaraya Technological University, (January 28th 2022).
Girija K. P., National Conference On Current Concepts in Oral Cancer, Department of Oral Medicine and Radiology, AB Shetty Memorial Institute of Dental Sciences, Nitte Deemed to be University in association with Indian Academy of Oral Medicine and Radiology, (February 02-03 2022).
Girija K. P., Online Workshop on Flow Cytometry, Central Research Laboratory and Dept. of Pathology, KSHEMA, Nitte (DU), (February 08-09 2022).
Girija K. P., 3-days FDP, In alignment with OBE & NEP 2020: Approaches for quality enhancement, MITE, Moodabidri,(February 17-19 2022).
Girija K. P., one week FDP on SCILAB and XCOS-FOSS Alternatives for MATLAB and SIMULINK, AICTE Training And Learning (ATAL) Academy, (February 07-11 2022).
Girija K. P., FDP on Advanced technologies in emerging research in mechanical engineering , Annamacharya Institute of technology and sciences, Bangalore, (December 5-9 2022).
Girija K. P., FDP on Computational Mathematics with MATLAB, MITE, Moodabidri,(December 10 2022).

Research Papers Accepted

Girija K. P., Devadas Nayak C., Sabitha D'Souza and Pradeep G. Bhat, 3-Vertex friendly index set of graphs, Mathematics and Statistics, 8(4): 416-423, 2020.
Girija K. P., Sabitha D'Souza, Devadas Nayak C., and Pradeep G. Bhat, Some properties of generalized complements of a graph, Journal of Mathematical and Computational Science, 10, 2917-2925, 2020.
Sabitha D'Souza, Girija K. P., Gowtham H. J., and Pradeep G. Bhat, Color energy of some cluster graphs, Vladikavkaz Mathematical Journal, 23(2), 51-64, 2021.
Sabitha D'Souza, Gowtham H. J., Girija K. P. and Pradeep G. Bhat, Color Laplacian energy of some cluster graphs, TWMS Journal of Applied and Engineering Mathematics, 12(1), 247-259, (2022).
Nagarjun Prabhu, Devadas Nayak C, Sabitha D'Souza, Girija K. P., Pradeep G. Bhat, Ham-ming Distance of Semigraphs, Global and Stochastic Analysis, 10(1) (2023).

Papers presented in the Conference

Girija K. P., Devadas Nayak C., Sabitha D'Souza and Pradeep G. Bhat, On Balance Index Set of Some Graphs, National Conference on Applications of Mathematics and Statistics in Engineering-2018 (NCAMSE-2018) sponsored by SERB, at MIT., MAHE, Manipal (20-22 June 2018).
Girija K. P., Devadas Nayak C., Sabitha D'Souza and Pradeep G. Bhat, 3-Vertex friendly index set of graphs, International Conference on Number Theory and Graph Theory, University of Mysore, Mysore, (June 27-29, 2019).
Girija K. P., Devadas Nayak C., Sabitha D'Souza and Pradeep G. Bhat, 3-Vertex friendly index set of graphs operation of two graphs, International Conference On Materials Science and Mathematics for Advanced Technology, N.M.A.M,Institute of Technology, Nitte, Karkala, (December 22-23 2022).
Girija K. P., Devadas Nayak C., Sabitha D'Souza and Pradeep G. Bhat, Seidel Laplacian energy of generalized complements of graphs, International Conference on Number Theory and Graph Theory, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, (January 18-20, 2023).

Dr. GANESH KUMAR K

DesignationAssistant Professor Gd-III
Email dr.kgr@nitte.edu.in
Joining date 01-07-2023

B.Sc. - 2011 - Kuvempu University
M.Sc. -2013 - Davanagere University
B.Ed. - 2014 - Davangere University
PhD - 2018 - Kuvempu University
PDF - 2023 - Acharya Nagarjuna University

Lecturer - SJM Arts, Sciences and Commers, Chitradurga - 2017 to 2018
Assistant Professor - SJM Institute of Technology, Chitradurga - 2018 - 2020

Editorial board member American Journal of Applied Sciences 2023
Worlds top 2% scientists award, (Rank 79815). Stanford University 2022
Reviewer board member Frontiers in Applied Mathematics and Statistics (WOS IF. 1.35) 2022
World's top 2% scientists award (Rank 135716). Stanford University -2021
Editorial board member of World Journal of Mechanics (WJM). -Scientific Reports < 2021
Reviewer Excellence award Indian Academy of Sciences -2021
Kothari Fellowship for post-Doctoral Research UGC -
2020
World's top 2% scientists award (Rank 143105) Stanford University-2020

K. Ganesh Kumar, "Impact of magnetic dipole on ow and heat transfer of AA7072-AA7075/water based nanouid over a stretching sheet using Koo and Kleinstreuer model" - 2023
DG Prakasha, M Sudharani,KGanesh Kumar, Thermal amelioration of aluminium nano-alloys on swirling aqueous MHD viscous nanofluid flow via a deformable cylinder: Applying magnetic dipole -2023
D.G.Prakasha, M. Sudharani, K. Ganesh Kumar& A.J. Chamkha, "Comparative study of hybrid (graphene/magnesium oxide) and ternary hybrid (graphene/zirconium oxide/magnesium oxide) nanomaterials over a moving plate-2023
R Padmavathi, BS Dhruvathara, K Rashmi, K Ganesh Kumar Two-phase hydromagnetic Eyring-Powell fluid flow over a stretching sheet suspended to a dusty particle - 2023
LS Naik, DG Prakasha, MM Praveena, MR Krishnamurthy, K Ganesh Kumar Stratification flow and variable heat transfer over different non-Newtonian fluids under the consideration of magnetic dipole - 2023
LS Naik, DG Prakasha, M Sudharani, KG Kumar Effects of ohmic and activation energy on the physical characteristics of MHD flow and variable heat transfer to a different fluids - 2023
M Azam KG Kumar, Transient bioconvection and activation energy impacts on Casson nanofluid with gyrotactic microorganisms and nonlinear radiation - 2022
OP Meena,KG Kumar, Perspective of multiple slips on 3D flow of Al2O3TiO2CuO/H2O ternary nanofluid past an extending surface due to non-linear thermal radiation, - 2022
V Puneeth, S Manjunatha, KG Kumar, M G Reddy, Perspective of multiple slips on 3D flow of Al2O3-TiO2-CuO/H2O ternary nanofluid past an extending surface due to non-linear thermal radiation - 2022
MG Reddy, MR Krishnamurthy, MM Praveena, LS Naik, DG Prakasha, KG Kumar Unsteady absorption flow and dissipation heat transfer over a non-Newtonian fluid - 2022
MG Reddy, M Sudharani, MM Praveena, KG Kumar Effect of thermal conductivity on Blasius-Rayleigh-Stokes flow and heat transfer over a moving plate by considering magnetic dipole moment - 2022
KG Kumar, MG Reddy, MI Khan, F Alzahrani, MI Khan, ER El-Zahar Heat transfer and melting flow ofa Reiner-Philippoff fluid over a surface with Darcy-Forchheimer medium- 2021
MG Reddy, MS Rani, MM Praveen, KG Kumar Comparative study of different non-Newtonian fluid over an elaborated sheet in the view of dual stratified flow and ohmic heat - 2021
MG Reddy, RJ Punith Gowda, R Naveen Kumar, KG Kumar, Analysis of modified Fourier law and melting heat transfer in a flow involving carbon nanotubes 2021
MG Reddy MM Praveena, NG Rudraswamy, KG Kumar Impact of Cattaneo-Christov heat flux on hydromagnetic flow of non-Newtonian fluids filled with Darcy-Forchheimer porous medium - 2021
MG Reddy, KG Kumar Cattaneo-Christov heat flux feature on carbon nanotubes filled with micropolar liquid over a melting surface: a stream line study-2021
MG Reddy, N Kumar, BC Prasannakumara, NG Rudraswamy, KG Kumar Magnetohydrodynamic flow and heat transfer of a hybrid nanofluid over a rotating disk by considering Arrhenius energy - 2021
KG Kumar, Ehab Hussein Bani Hani, Mamdouh El Haj Assad, Mohammad Rahimi-Gorji, S Nadeem A novel approch for investigaion of heat transfer enhancement with ferromagnetic hybrid nanofluid by considering solar radiation - 2021
KG Kumar, MG Reddy, Ali Aldalbahi, Mohammad Rahimi- Gorji,MostafizurRahaman Application of different hybrid nanofluids in convective heat transport of Carreau fluid-2020
MG Reddy, KG Kumar, SA Shehzad A static and dynamic approch of aluminum alloys over a semi infinetedheated plate -2020
KG Kumar, AbeerBaslem, BC Prasannakumara, Jihen Majdoubi, Mohammad Rahimi-Gorji, S Nadeem Significance of Arrhenius activation enargy in flow and heat transfer of tangent hyperbolic fluid with zero mass flux condition - 2021
MG Reddy, MS Rani, KG Kumar, BC Prasannakumar, HJ Lokesh Hybrid dusty fluid flow through a C-C heat flux model -2020
MG Reddy, MS Rani, KG Kumar, Ali J Chamkha, G Lorenzini physical aspects of Darcy Forchheimer flow and dissipative heat transfer of Reiner Philippoff fluid 2020
M G Reddy, MS Rani, KG Kumar, BC Prasannakumar, Ali J Chamkha C-C heat flux model on Blasius Reyleigh Stokes flow through a transitive magnetic field and joule heating - 2020
MG Reddy, MS Rani, KG Kumar An analysis of dusty slip flow through a single-multi wall carbon nanotubes - 2020
MG Reddy, P Vijayakumari, MS Rani, KG Kumar Quadratic convective heat transport of cassonnanoliquied over a contract cylinder: an unsteady case - 2020
KG Kumar, MG Reddy, MS Rani, SA Shehzad, Ali J Chamkha C-C heat diffusion phenomenon in Reiner Philippoff fluid through a transverse magnetic field -2020
KG Kumar, BS Avinash, Mohammad Rahimi-Gorji, JihenMajdoubi Photocatalytic activity and smartness of TiO2 nanotubes arrays for room temperature acetone sensing - 2020
KG Kumar, HJ Lokesh, Sabir A Shehzad, Tehmina Ambreen On analysis of Blasius and Rayleigh Stokes hybrid nanofluid flow under aligned magnetic field - 2020
MG Reddy, MS Rani, KG Kumar, Asiful H Seikh, Mohammad Rahimi-Gorji, El-Sayed Mohmed Sherif Transverse magnetic flow over a Reiner Philippoff nanofluid by considering solar radiation - 2019
KG Kumar, MN Khan, M Osman, Abdulaziz R Alharbi, Mohammad Rahimi-Gorji, Ibrahim M Alarifi Slip flow over a non Newtonian fluid througj a Darcy Forchheimer medium Numerical approach -2019
KG Kumar, BS Avinash, Mohammad Rahimi-Gorji, Ibrahim M Alarifi Opticla and electrical properrties of Ti1-XSnXO2 nanoparticles - 2019
Basma Souayeh, KG Kumar, MG Reddy, Sudha Rani, Najib Hdhiri, Huda Alfannakh, Mohammad Rahimi-Gorji Slip flow and radiative heat transfer behavior of Titanium alloy and ferromagnetic nanoparticle along with suspension of dusty fluid - 2019
KG Kumar Scrutinization of 3D flow and nonlinear radiative heat transfer on non Newtonian nanoparticles over an exponentially sheet - 2019
BC Prasannakumara, AM Jyothi KG Kumar Exploration of particle shape effect on Cu H2O nanoparticles over a moving plate an approach of duel solution - 2019
KG Kumar Exploration of flow and heat transfer of non newtonian nanofluid over a stretching sheet by considering slip factor - 2019
KG Kumar, Ali J Chamkha Darcy Forchhiemer flow and heat transfer of water based Cu nanoparticles in convergibg/diverging channel subjected to particle shape effect-2019
KG Kumar,MR Krishnamurthy,NG Rudraswamy Boundary layer flow and melting heat transfer of Prandtl fluid over a stretching sheet by considering joule heating effect - 2019
KG Kumar, BJ Gireesha, NG Rudraswamy, MR Krishnamurth An unsteady flow and melting heat transfer of a nanofluid over a stretching sheet embedded in an porous medium - 2019
GK Ramesh, KG Kumar, BJ Gireesha, SA Shehzad, FM Abbasi Magnetohydrodynamic nanoliquied due to unsteady contracting cylinder wit uniform heat generation/absorption and convective condition - 2018
KG Kumar, BJ Gireesha, RSR Gorla Flow and heat transfer of dusty hyperbolic tangeent fluid over a stretching sheet in the presence of thermal radiation and magnetic field - 2018
BJ Gireesha,KG Kumar,MR Krishanamurthy, NG Rudraswamy Enhancement of heat transfer in an unsteady rotating flow for the aqueous suspension of single wall nanotubes under nonlinear radiation a numerical study - 2018
KG Kumar, GK Ramesh, BJ Gireesha, RSR Gorla Characteristics of joule heating and viscous dissipation on three dimensional flow of Oldryd B nanofluid with thermal radiation - 2018
BJ Gireesha, KG Kumar, GK Ramesh, BCPrasannakumara Nonlinear convective heat and mass transfer of Oldryed nanofluid over a stretching sheet in the presence of uniform heat source sink - 2018
MR Krishnamurthy, KG Kumar, BJ Gireesha, NGRudraswamy MHD flow and heat transfer of non Newtonian nanofluid over a nonlinear stretching sheet - 2018
KG Kumar, M Archana, BJ Gireesha, MRKrishanamurthy, NG Rudraswamy Cross diffusion effect on MHD mixed convective flow of nonlinear radiative heat and mass transfer of casson fluid over a vertical plate - 2018
BJ Gireesha, KG Kumar, BC Prasannakumar Scrutinization of chemical reaction effect on flow and mass transfer of Prandtl liquid over a Riga plate in the presence of solutal slip effect -2018
KG Kumar, GK Ramesh, BJ Gireesha, AM Rashad Double-diffusive convection flow of Casson fluid with nonlinear thermal radiation and convective condition - 2018
MG Reddy, MS Rani, KG Kumar, BC Prasannakumara Cattaneo-Christov heat flux and non-uniform heat-source/sink impacts on radiative Oldroyd-B two-phase flow across a cone/wedge - 2018
BJ Gireesha, KG Kumar, S Manjunatha Impact of chemical reaction on MHD 3D flow of a nanofluid containing gyrotactic microorganism in the presence of uniform heat source/sink - 2018
BJ Gireesha, KG Kumar, NGRudraswamy, S Manjunatha Effect of viscous dissipation on three dimentional flow of a nanofluid by considering a gyrotactic microoganism in the presence of convective condition - 2018
BJ Gireesha, KG Kumar, GK Ramesh Thermal analysis of generalized Burgers nanofluid over[PDE] from pan.pl a stretching sheet with nonlinear radiation and non uniform heat source/sink -2018
KG Kumar, BJ Gireesha, S Manjunatha Scrutinization of Joule heating and viscous dissipation onMHD flow and melting heat transfer over a stretching sheet -2018
GK Ramesh, KG Kumar, SA Shehzad, BJ Gireesha Enhancement of radiation on hydromagnetic Casson fluid flow towards a stretched cylinder with suspention of liquid-particles - 2018
NG Rudraswamy, SA Shehzad, KG Kumar, BJ Gireesha Numarical analysis of MHD three-dimentionalCarreaunanoliquid flow over bidirectionally moving surface - 2017
GT Thammanna, KG Kumar, BJ Gireesha, GK Ramesh, BC Prasannakumara Three dimensional MHD flow of couple stress casson fluid past an unsteady stretching surfac with chemical reaction - 2017
K G Kumar, BJ Gireesha, NG Rudraswamy, S Manjunatha Radiative heat transfer of Carreau fluid flow over a stretching sheet with fluid particle suspension and temperature jump - 2017
KG Kumar, NG Rudraswamy, BJ Gireesha Effects of mass transfer on MHD three dimensional flow of a Prandtl liquid over a flat plate in the presence of chemical reaction - 2017
KG Kumar, NG Rudraswamy, BJ Gireesha, S Manjunatha Non-linear thermal radiation effect on Williamson fluid with particle-liquid suspension past a stretching surface - 2017
KG Kumar, BJ Gireesha, MR Krishanamurthy, NG Rudraswamy An unsteady squeezed flow of a tangent hyperbolic fluid over a sensor surface in the presence of variable thermal conductivity - 2017

Books/Reports/Chapters/General articles etc.

Ms. AMBIKA N

Designation Assistant Professor
Email ambika.1921@nitte.edu.in
Joining date 04-09-2007

M.Sc. Mathematics from Govt. College, kasaragod in 2005
B.Ed. from G.C.T.E ,Thallassery in 2006

Lecturer in NMAM Institute of Technology from 04-09-2007 to 04-09-2013
Lecturer Grad I in NMAM Institute of Technology from 04-09-2013 to 04-09-2014
Assistant Professor in NMAM Institute of Technology from 04-09-2007

Linear algebra
Numerical methods

Linear Algebra (Open elective)
Probability Theory and Numerical Methods
Generating Functions and Transform Techniques
Engineering Mathematics I,II,III
Vector Calculus and Transform Techniques
Numerical Methods

2nd National workshop-cum-Conference Computer Applications based on Modern Algebra organized by Dept. of Computer Science &Engineering and Dept. of Mathematics, MIT, Manipal University during 1-4,July 2017.