An error estimate for the finite difference approximation to degenerate convection-diffusion equations. - Kenneth H. Karlsen; Ujjwal Koley; Nils Henrik Risebro (Numerische Mathematik, 2012)

Convergence of a Higher Order Scheme for the Korteweg-De Vries Equation. - Rajib Dutta; Ujjwal Koley; Nils Henrik Risebro (SIAM J. Numer. Anal., 2015)

Convergence of finite difference schemes for the Benjamin-Ono equation. - Rajib Dutta; Helge Holden; Ujjwal Koley; Nils Henrik Risebro (Numerische Mathematik, 2016)

Well-Balanced Unstaggered Central Schemes for the Euler Equations with Gravitation. - Rony Touma; Ujjwal Koley; Christian Klingenberg (SIAM J. Sci. Comput., 2016)

Local discontinuous Galerkin schemes for a nonlinear variational wave equation modelling liquid crystals. - Peder Aursand; Ujjwal Koley (J. Comput. Appl. Math., 2017)

Multi-level Monte Carlo Finite Difference Methods for Fractional Conservation Laws with Random Data. - Ujjwal Koley; Deep Ray; Tanmay Sarkar (CoRR, 2020)

Physics Informed Neural Networks (PINNs)for approximating nonlinear dispersive PDEs. - Genming Bai; Ujjwal Koley; Siddhartha Mishra; Roberto Molinaro (CoRR, 2021)

A convergent finite volume scheme for the stochastic barotropic compressible Euler equations. - Abhishek Chaudhary; Ujjwal Koley (CoRR, 2021)

Multilevel Monte Carlo Finite Difference Methods for Fractional Conservation Laws with Random Data. - Ujjwal Koley; Deep Ray; Tanmay Sarkar (SIAM/ASA J. Uncertain. Quantification, 2021)

On the rate of convergence of a numerical scheme for fractional conservation laws with noise. - Ujjwal Koley; Guy Vallet (CoRR, 2022)