Spectral/Rosenbrock discretizations without order reduction for linear parabolic problems
Applied Numerical Mathematics
Non-linear evolution using optimal fourth-order strong-stability-preserving Runge-Kutta methods
Mathematics and Computers in Simulation - Nonlinear waves: computation and theory II
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
High-order multi-implicit spectral deferred correction methods for problems of reactive flow
Journal of Computational Physics
Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics
Journal of Computational Physics
High-order linear multistep methods with general monotonicity and boundedness properties
Journal of Computational Physics
On Time Staggering for Wave Equations
Journal of Scientific Computing
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 0.03 |
The temporal integration of hyperbolic partial differential equations (PDEs) has been shown to lead sometimes to the deterioration of accuracy of the solution because of boundary conditions. A procedure for removal of this error in the linear case has been established previously.In this paper we consider hyperbolic PDEs (linear and nonlinear) whose boundary treatment is accomplished via the simultaneous approximation term (SAT) procedure. A methodology is presented for recovery of the full order of accuracy and has been applied to the case of a fourth-order explicit finite-difference scheme.