Dr. Ujjwal Koley

Profile

Academic positionLecturer, Assistant Professor, Researcher
Research fieldsAnalysis, Differential Equations,Numerical Analysis, Optimization, Simulation,General and overarching topics in Mathematics; collections
KeywordsDegenerate Diffusion Equations, Conservation Laws, Diffusive Dispersive Equations, Dispersive Equations, Stochastic Conservation Laws

Current contact address

CountryIndia
CityBengaluru
InstitutionTata Institute of Fundamental Research (TIFR)
InstituteCentre for Applicable Mathematics
Homepagehttp://math.tifrbng.res.in/~ujjwal/

Host during sponsorship

Prof. Dr. Christian KlingenbergInstitut für Angewandte Mathematik, Julius-Maximilians-Universität Würzburg, Würzburg
Start of initial sponsorship01/10/2012

Programme(s)

2012Humboldt Research Fellowship Programme for Postdocs

Publications (partial selection)

2017Ujjwal Koley, Nils Henrik Risebro, Christoph Schwab, and Franziska Weber: A multilevel Monte Carlo finite difference method for random scalar degenerate convection-diffusion equations.. In: J. Hyperbolic Differ. Equ., 2017, 415-454
2017Ujjwal Koley, Ananta Majee, and Guy Vallet: Continuous dependence estimate for a degenerate parabolic-hyperbolic equation with Levy noise.. In: Stoch. Partial Differ. Equ. Anal. Comput., 2017, 145-191
2017Ujjwal Koley, and Peder Aursand: High-order Energy Stable Numerical Schemes for a Nonlinear Variational Wave Equation Modeling Nematic Liquid Crystals in Two Dimensions. In: International Journal of Numerical Analysis and Modeling, 2017, 20-47
2017Peder Aursand, and Ujjwal Koley: Local discontinuous Galerkin schemes for a nonlinear variational wave equation modelling liquid crystals. . In: J. Comput. Appl. Math., 2017, 478-499
2016Ujjwal Koley, Rajib Dutta, Helge Holden, and Nils Henrik Risebro: Convergence of Finite Difference Schemes for the Benjamin-Ono Equation . In: Numerische Mathematik, 2016, 249-274
2016Ujjwal Koley, Rajib Dutta, and Deep Ray: Convergence of Fully Discrete Schemes for Diffusive dispersive Conservation Laws with Discontinuous Coefficient. In: ESAIM: Mathematical Modelling and Numerical Analysis, 2016, 1289-1331
2016Ujjwal Koley: Finite Difference Schemes for the Korteweg-de Vries-Kawahara Equation. In: International Journal of Numerical Analysis and Modeling, 2016, 344-367
2016Ujjwal Koley, Rony Touma, and Christian Klingenberg: Well-balanced Unstaggered Central Schemes for the Euler Equations with Gravitation, . In: SIAM Journal on Scientific Computing, 2016, B773-B807
2015Ujjwal Koley, Imran Habib Biswas, and Ananta Kumar Majee: Continuous Dependence Estimate for Conservation Laws with Levy Noise. In: Journal of Differential Equations, 2015, 4683-4706
2015Ujjwal Koley, Helge Holden, and Nils Henrik Risebro: Convergence of a Fully Discrete Finite Difference Scheme for the Korteweg-de Vries Equation. In: IMA Journal of Numerical Analysis, 2015, 1047-1077
2015Ujjwal Koley, Rajib Dutta, and Nils Henrik Risebro: Convergence of a Higher Order Scheme for the Korteweg-de Vries Equation. In: SIAM Journal on Numerical Analysis, 2015, 1963-1983
2015Ujjwal Koley, Christian Klingenberg, Yunguang Lu, and Xuezhou Lu: Decay Rate of Degenerate Convection Diffusion Equations in Both One and Several Space Dimensions. In: Acta Mathematica Scientia, 2015, 281-302
2015Ujjwal KOley, Rajib Dutta, Helge Holden, and Nils Henrik Risebro: Operator Splitting for the Benjamin-Ono Equation. In: Journal of Differential Equations, 2015, 6694-6717
2013Ujjwal Koley, and Nils Henrik Risebro: Finite Difference Schemes for the Symmetric Keyfitz-Kranzer System. In: Zeitschrift fur angewandte Mathematik und Physik, 2013, 1057-1085
2012Ujjwal Koley, Kenneth Karlsen, and Nils Henrik Risebro: An Error Estimate for the Finite Difference Approximation to Degenerate Convection-Diffusion Equations. In: Numerische Mathematik, 2012, 367-395
2012Ujjwal Koley.: Error estimate for a fully discrete spectral scheme for Korteweg-de Vries-Kawahara equation.. In: Cent. Eur. J. Math., 2012, 173-187
2012Ujjwal Koley, Siddhartha Mishra, Nils Henrik Risebro, and Magnus Svard: Higher Order Finite Difference Schemes for the Magnetic Induction Equations with Resistivity. In: IMA Journal of Numerical Analysis, 2012, 1173-1193
2009Ujjwal Koley, Siddhartha Mishra, Nils Henrik Risebro, and Magnus Svard: Higher Order Finite Difference Schemes for the Magnetic Induction Equations. In: BIT Numerical Mathematics, 2009, 375-395