Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equations

Spectral/Rosenbrock discretizations without order reduction for linear parabolic problems

Applied Numerical Mathematics

Accuracy and stability of splitting with stabilizing corrections

Applied Numerical Mathematics

Optimal orders of convergence for Runge-Kutta methods and linear, initial boundary value problems

Applied Numerical Mathematics

Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems

Mathematics of Computation

Fractional step Runge--Kutta methods for time dependent coefficient parabolic problems

Applied Numerical Mathematics

Semi-implicit projection methods for incompressible flow based on spectral deferred corrections

Applied Numerical Mathematics - Special issue: Workshop on innovative time integrators for PDEs

Avoiding order reduction of fractional step Runge-Kutta discretizations for linear time dependent coefficient parabolic problems

Applied Numerical Mathematics - Special issue: Workshop on innovative time integrators for PDEs

Order reduction and how to avoid it when explicit Runge-Kutta-Nyström methods are used to solve linear partial differential equations

Journal of Computational and Applied Mathematics

Implicit Taylor methods for parabolic problems with nonsmooth data and applications to optimal heat control

Journal of Computational and Applied Mathematics

Accelerating the convergence of spectral deferred correction methods

Journal of Computational Physics

Arbitrary order Krylov deferred correction methods for differential algebraic equations

Journal of Computational Physics

On Time Staggering for Wave Equations

Journal of Scientific Computing

IMEX Runge-Kutta schemes for reaction-diffusion equations

Journal of Computational and Applied Mathematics

Eulerian-Lagrangian time-stepping methods for convection-dominated problems

International Journal of Computer Mathematics - Recent Advances in Computational and Applied Mathematics in Science and Engineering

Explicit Time Stepping Methods with High Stage Order and Monotonicity Properties

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

Order reduction and how to avoid it when explicit Runge-Kutta-Nyström methods are used to solve linear partial differential equations

Journal of Computational and Applied Mathematics

Implicit Taylor methods for parabolic problems with nonsmooth data and applications to optimal heat control

Journal of Computational and Applied Mathematics

A generalization of Peaceman-Rachford fractional step method

Journal of Computational and Applied Mathematics

Extrapolated Implicit-Explicit Time Stepping

SIAM Journal on Scientific Computing

Optimal Explicit Strong-Stability-Preserving General Linear Methods

SIAM Journal on Scientific Computing

Stability and convergence of staggered Runge-Kutta schemes for semilinear wave equations

Journal of Computational and Applied Mathematics

Experimental validation of high-order time integration for non-linear heat transfer problems

Computational Mechanics

Error analysis of multipoint flux domain decomposition methods for evolutionary diffusion problems

Journal of Computational Physics

Two-derivative Runge---Kutta methods for PDEs using a novel discretization approach

Numerical Algorithms