Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms

Relaxation Schemes for Hyperbolic Conservation Laws with Stiff Source Terms: Application to Reacting Euler Equations

Journal of Scientific Computing

The third-order relaxation schemes for hyperbolic conservation laws

Journal of Computational and Applied Mathematics

Adaptation and Assessment of a High Resolution Semi-discrete Numerical Scheme for Hyperbolic Systems with Source Terms and Stiffness

ICCS '02 Proceedings of the International Conference on Computational Science-Part II

Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems

Mathematics of Computation

Application of the Kurganov-Levy semi-discrete numerical scheme to hyperbolic problems with nonlinear source terms

Future Generation Computer Systems - Special issue: Selected numerical algorithms

Numerical simulation of a generalized Zakharov system

Journal of Computational Physics

Implicit---Explicit Runge---Kutta Schemes and Applications to Hyperbolic Systems with Relaxation

Journal of Scientific Computing

A Time-Splitting Spectral Method for the Generalized Zakharov System in Multi-Dimensions

Journal of Scientific Computing

Numerical integration of the plasma fluid equations with a modification of the second-order Nessyahu-Tadmor central scheme and soliton modeling

Mathematics and Computers in Simulation - Special issue: Nonlinear waves: computation and theory IV

Numerical methods for solving moment equations in kinetic theory of neuronal network dynamics

Journal of Computational Physics

A modified higher order Godunov's scheme for stiff source conservative hydrodynamics

Journal of Computational Physics

Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws

Journal of Computational Physics

Richardson-extrapolated sequential splitting and its application

Journal of Computational and Applied Mathematics

An Asymptotic Preserving scheme for the Euler equations in a strong magnetic field

Journal of Computational Physics

On the Richardson Extrapolation as Applied to the Sequential Splitting Method

Large-Scale Scientific Computing

Numerical integration of the plasma fluid equations with a modification of the second-order Nessyahu-Tadmor central scheme and soliton modeling

Mathematics and Computers in Simulation

A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources

Journal of Computational Physics

Fluid Solver Independent Hybrid Methods for Multiscale Kinetic Equations

SIAM Journal on Scientific Computing

On Stability, Monotonicity, and Construction of Difference Schemes I: Theory

SIAM Journal on Scientific Computing

On Stability, Monotonicity, and Construction of Difference Schemes II: Applications

SIAM Journal on Scientific Computing

Asymptotic Preserving Scheme for Euler System with Large Friction

Journal of Scientific Computing

Exponential Runge-Kutta Methods for Stiff Kinetic Equations

SIAM Journal on Numerical Analysis

On stability of difference schemes. Central schemes for hyperbolic conservation laws with source terms

Applied Numerical Mathematics

A Characteristics Based Genuinely Multidimensional Discrete Kinetic Scheme for the Euler Equations

Journal of Scientific Computing