A new class of time discretization schemes for the solution of nonlinear PDEs

Exponential time differencing for stiff systems

Journal of Computational Physics

A composite Runge-Kutta method for the spectral solution of semilinear PDEs

Journal of Computational Physics

Adaptive solution of partial differential equations in multiwavelet bases

Journal of Computational Physics

On a wavelet-based method for the numerical simulation of wave propagation

Journal of Computational Physics

The various order explicit multistep exponential fitting for systems of ordinary differential equations

Journal of Computational and Applied Mathematics

The arbitrary order implicit multistep schemes of exponential fitting and their applications

Journal of Computational and Applied Mathematics

Generalized integrating factor methods for stiff PDEs

Journal of Computational Physics

Rooted tree analysis of Runge-Kutta methods with exact treatment of linear terms

Journal of Computational and Applied Mathematics

Fast algorithms for spectral collocation with non-periodic boundary conditions

Journal of Computational Physics

High-order predictor-corrector of exponential fitting for the N-body problems

Journal of Computational Physics

Efficient semi-implicit schemes for stiff systems

Journal of Computational Physics

Efficient integration of large stiff systems of ODEs with exponential propagation iterative (EPI) methods

Journal of Computational Physics

EXPINT---A MATLAB package for exponential integrators

ACM Transactions on Mathematical Software (TOMS)

An implementation of the exponential time differencing scheme to the magnetohydrodynamic equations in a spherical shell

Journal of Computational Physics

An error analysis of the modified scaling and squaring method

Computers & Mathematics with Applications

Practical Implementation of Krylov Subspace Spectral Methods

Journal of Scientific Computing

Compact integration factor methods in high spatial dimensions

Journal of Computational Physics

Split step wavelet Galerkin method based on parabolic equation model for solving underwater wave propagation

WAMUS'05 Proceedings of the 5th WSEAS International Conference on Wavelet Analysis and Multirate Systems

Comparison of methods for evaluating functions of a matrix exponential

Applied Numerical Mathematics

The scaling and modified squaring method for matrix functions related to the exponential

Applied Numerical Mathematics

A numerical simulation for the blow-up of semi-linear diffusion equations

International Journal of Computer Mathematics

Time Acceleration Methods for Advection on the Cubed Sphere

ICCS 2009 Proceedings of the 9th International Conference on Computational Science

Rooted tree analysis of Runge-Kutta methods with exact treatment of linear terms

Journal of Computational and Applied Mathematics

L2-stability analysis of novel ETD scheme for Kuramoto-Sivashinsky equations

Journal of Computational and Applied Mathematics

Compact integration factor methods for complex domains and adaptive mesh refinement

Journal of Computational Physics

Linearly implicit methods for nonlinear PDEs with linear dispersion and dissipation

Journal of Computational Physics

Adaptive discontinuous Galerkin methods in multiwavelets bases

Applied Numerical Mathematics

Operator splitting implicit integration factor methods for stiff reaction-diffusion-advection systems

Journal of Computational Physics

Generalized exponential time differencing methods for fractional order problems

Computers & Mathematics with Applications

A new class of exponential propagation iterative methods of Runge-Kutta type (EPIRK)

Journal of Computational Physics

A fast time-domain EM-TCAD coupled simulation framework via matrix exponential

Proceedings of the International Conference on Computer-Aided Design

Discrete conservation laws and the convergence of long time simulations of the mkdv equation

Journal of Computational Physics

Array-representation integration factor method for high-dimensional systems

Journal of Computational Physics

Exponential versus IMEX high-order time integrators for thermal convection in rotating spherical shells

Journal of Computational Physics