Publications (11)
Error Estimate for a Fully Discrete Spectral Scheme for Korteweg-de Vries-Kawahara Equation
U. Koley
We are concerned with the convergence of spectral method for the numerical solution of the initial-boundary value problem associated to the Korteweg-de Vries-Kawahara equation (in…
Operator splitting for the Benjamin-Ono equation
R. Dutta, H. Holden, U. Koley +1
In this paper we analyze operator splitting for the Benjamin-Ono equation, u_t = uu_x + Hu_xx, where H denotes the Hilbert transform. If the initial data are sufficiently regular,…
An error estimate for the finite difference approximation to degenerate convection -diffusion equations
K. H. Karlsen, U. Koley, N. H. Risebro
We consider semi-discrete first-order finite difference schemes for a nonlinear degenerate convection-diffusion equations in one space dimension, and prove an L1 error estimate. Pr…
Finite difference schemes for the symmetric Keyfitz-Kranzer system
U. Koley, N. H. Risebro
We are concerned with the convergence of numerical schemes for the initial value problem associated to the Keyfitz-Kranzer system of equations. This system is a toy model for sever…
Convergence of numerical schemes for the Korteweg-de Vries-Kawahara equation
U. Koley
We are concerned with the convergence of a numerical scheme for the initial-boundary value problem associated to the Korteweg-de Vries- Kawahara equation (in short Kawahara equatio…
Multilevel Monte Carlo for Random Degenerate Scalar Convection Diffusion Equation
U. Koley, N. H. Risebro, Ch. Schwab +1
We consider the numerical solution of scalar, nonlinear degenerate convection-diffusion problems with random diffusion coefficient and with random flux functions. Building on recen…