Veerappa G D Gowda

Veerappa Gowda G D

Professor
veerappa.gowda@mahindrauniversity.edu.in

Dr. G.D.Veerappa Gowda is a Professor of Mathematics at Ecole Centrale School of Engineering, Mahindra University. Formerly he was a Professor and Dean of TIFR Centre for Applicable Mathematics, Bengaluru. His areas of research are Partial Differential Equations and Numerical Analysis, particularly in studying theory and numerical methods for hyperbolic conservation laws and Hamilton-Jacobi Equations.

B.Sc.

  • B.Sc. Mysore University (1976).

M.Sc.

  • M.Sc. in Mathematics — Mysore university (1978).

Ph.D.

  • Ph.D. (Docteur de l’Universite’) — University of Paris-Dauphine (1988), France.

2025 - present

  • He is currently working as a professor at Mahindra University

  • Worked as a lecturer in PG centre of Mysore University at B.R.Project(Present Kuvempu University) during 1978-79.
    Joined IISc-TIFR mathematics programme in 1979 and later continued in Tata Institute of Fundamental Research (TIFR) Centre, Bangalore in various positions like Research Assistant, Research Associate, Fellow, Reader, Associate Professor and Professor. Retired from TIFR on 31st July, 2020. Continued in TIFR as a Raja Ramanna Fellow (Department of Atomic Energy) from January 1,2022 to December 31st,2024.

2024

  • Aekta Aggarwal, Veerappa Gowda G. D., Sudarshan Kumar K A well-balanced second-order finite volume approximation for a coupled system of granular flow, Accepted in Jl. Comp. physics (2024) DOI: 510 (2024), 113068.

2023

  • Kenettinkara, S. K., Manoj, N., & G. D., V. Convergence of a second order scheme for non-local conservation Laws, ESIAM, Math. Model.Numer. Anal.57(6), 3439- 3481(2023). https://doi.org/10.1051/m2an/2023080

2022

  • Garg, Naveen Kumar & Gowda, G.D. Veerappa, Godunov-type schemes for the pressure less gas dynamics and related models, Appl. Math. Comput. paper no.126790, 418(2022). DOI: 10.1016/j.amc.2021.126790

2021

  • A Aggarwal G Vaidya and G.D.V Gowda Positivity-preserving numerical scheme for hyperbolic systems with δ-shock solutions and its convergence analysis. Z. Angew. Math. Phys. 72(4) (2021). https://doi.org/10.48550/arXiv.2006.14971

2020

2016

  • Adimurthi, A., Aggarwal, Aekta, Veerappa Gowda, G.D. Godunov-type Numerical Methods for a Model of Granular Flow. Jl. Comput.Physics 305, 1083-1118(2016). http://doi.org/10.1016/j.jcp.2015.09.036
  • Adimurthi, Aekta Aggarwal and G. D. Veerappa Gowda Godunov-type Numerical methods for a model of granular flow on open tables with walls. Commun.Comput.Physics 20(4), 1071- 1105,(2016). https://doi.org/10.4208/cicp.290615.060516a
  • Adimurthi, Kumar Kenettinkara, Sudarshan, Veerappa Gowda, G. D. On the convergence of a second order approxi- mation of conservation laws with discontinuous flux. Bull. Braz. Math. Soc. (N.S.) 47(1), 21-35 (2016). http://doi.org/10.1007/s00574-016-0119-0

2014

  • Adimurthi; Sundar Ghoshal, Shyam; Veerappa Gowda, G. D. Finer regularity of an entropy solution for 1-d scalar conservation laws with non uniform convex flux, Sem.Mat.Univ.Padova, 132,1- 24(2014) DOI 10.4171/RSMUP/132-1
  • Adimurthi; Sundar Ghoshal, Shyam; Veerappa Gowda, G. D. LP stability for entropy solutions of scalar conser- vation laws with strict convex flux, Diff.Eqns.,256(10), 3395 -3416(2014) https://doi.org/10.1142/S0219891612500191
  • Adimurthi, Sudarshan Kumar K and Veerappa Gowda, G. D Second order schemes for scalar conservation laws with discontinuous flux, Num.Maths., 80, 46-64(2014). https://doi.org/10.48550/arXiv.1303.5215
  • Adimurthi, Dutta, Rajib, Veerappa Gowda, G. D. Jaffré, Jérôme Monotone (A, B) entropy stable numerical scheme for Scalar Conservation Laws with discontinuous flux, Math. Model. Num.Anl. 48, 1725-1755(2014) https://doi.org/10.1051/m2an/2014017
  • Adimurthi, Shyam Sundar Ghoshal and D. Veerappa Gowda Optimal controllability for sclar conservation laws with convex flux, Jl.Hyperbolic Diff.Eqns.,11(3), 477-491(2014). https://doi.org/10.1142/S0219891614500131
  • Adimurthi , Shyam Sundar Ghoshal, G. D. Veerappa Gowda Exact controllability of scalar conservation law with strict convex flux, Mathematical Control and Related Topics,4(4), 401-449, (2014) doi: 10.3934/mcrf.2014.4.401
  • K, Sudarshan Kumar, C, Praveen, D Veerappa Gowda, G. A finite volume method for a two-phase multicomponent polymer flooding, Jl.Comput.Physics 275, 667-695(2014) http://doi.org/10.1016/j.jcp.2014.07.014

2013

2012

  • Adimurthi, S.S Ghoshal and G. D. Veerappa Gowda, Structure of entropy solutions to scalar conservation laws with strict convex flux, Jl.Hyperbolic Diff.Eqns.,9(4), 571-611(2012). https://doi.org/10.1142/S0219891612500191

2011

  • Adimurthi, Veerappa Gowda, G. D. et.al. Existence and non-existence of TV bounds for scalar conservation laws with discontinuous flux, comm. Pure Appl.Maths. Vol.LXIV 0084-0115(2011). http://dx.doi.org/10.1002/cpa.20346
  • Joseph, K. T. and Gowda, G. D. Veerappa Lax’s difference scheme for a system of two equations in the quarter plane, Adv. Pure Appl.Math., 2,167-181(2011). https://doi.org/10.1515/apam.2010.033

2010

  • Adimurthi, Gowda, G.D.V. Neumann boundary condition for a non-autonomous Hamilton-Jacobi equation in a quarter plane, Indian J.Pure Appl.Math. (INSA Platinum Jubilee Special Issue)41(1),199-224(2010). https://doi.org/10.1007/s13226-010-0001-5

2009

  • Adimurthi Adimurthi, G. D. Veerappa Gowda, Jérôme Jaffré. Monotonization of flux, entropy and numerical schemes for conservation laws., J. Math.Anal.Appl.,352(1), 427-439(2009). https://doi.org/10.1016/j.jmaa.2008.05.043

2007

  • (with Adimurthi and S. Mishra) Conservation laws with flux function discontinuous in space variable -II: Discontinuous Convex-Concave type fluxes and generalised entropy solutions,JI. Comput.Appl.Math.,203, 310-344(2007).
  • Adimurthi, Mishra, Siddhartha, Veerappa Gowda, G. D. Existence and Stability of entropy solutions for a conservation law with discontinuous non-convex fluxes, Heterog. Media,2, 127- 157(2007). http://aimsciences.org/journals/displayArticles.jsp?paperID=2178
  • Adimurthi; Mishra, Siddhartha; Veerappa Gowda, G. D. Convergence of Godunov type schemes for a con- servation law with spatially varying discontinuous flux functions, Comp.,76, 1219-1242(2007). http://www.ams.org/journals/mcom/2007-76-259/S0025-5718-07-01960-6/home.html
  • Adimurthi, Siddhartha Mishra, D. VEERAPPA GOWDA Explicit Hopf-Lax type formulas for Hamilton-Jacobi equation and Conservation laws with discontinuous coefficients, Jl.Diff.Eqns., 241, 1- 31(2007). DOI: 10.1016/j.jde.2007.05.039

2005

  • DIMURTHI, MISHRA, SIDDHARTHA, GOWDA, G. D. VEERAPPA Optimal entropy solutions for conservation laws with discontinuous flux-functions, Hyperbolic Diff.Eqns.,2(4), 783-837(2005). http://doi.org/10.1142/S0219891605000622

2004

  • Adimurthi, Gowda, Hopf-Lax type formula for non-monotonic autonomus Hamilton-Jacobi equations, Non-linear diff.eqns. and appls., 11, 335-348(2004). https://doi.org/10.1007/s00030-004-1072-y
  • Adimurthi, Jérôme Jaffré, and G. D. Veerappa Gowda, Godunov-type methods for conservation laws with a flux function discontinuous in space. SIAM.Jl. Numer.Anal.,42(1), 179-208(2004). http://www.jstor.org/stable/4101131.

2003

2000

1995

  • Joseph, K.T., Veerappa Gowda, G.D. Solution of a system of nonstrictly hyperbolic conservation laws, Indian Acad.Sci.(Math.Sci),105(2), 207-218(1995). https://doi.org/10.1007/BF02880367
  • (with K.T.Joseph) Max-Min Representation of solutions of Hamilton-Jacobi Equation in the Quarter plane, Diff. Eqns. and Dynamical sys,3(3), 305-314(1995).

1992

1991

1990

  • Joseph, K. T.; Veerappa Gowda, G. D. Explicit formula for the limit of a difference approximation. Duke Math.Jl. 61(2), 369-393(1990).

1986

1985

1984

Partial differential equations and Numerical Analysis. In particular, theory and numerics of hyperbolic conservation laws and Hamilton-Jacobi equations. Also developing numerical methods and studying their analysis for problems arising in two phase flow, Image processing, growth of sand piles and non-local hyperbolic conservation laws.

Awards and Distinctions:

  • Fellow of Indian National Science Academy (FNA), New Delhi.
  • Fellow of the National Academy of Sciences, India (FNASc), Allahabad.
  • Fellow of the Indian Academy of Sciences (FASc), Bangalore.
  • Fellow of the Indian Society for Mathematical modelling and Computer Simulation((FISMMACS).
  • Honorary Fellow of Karnataka Science and Technology Academy.