Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations

Parallel program debugging with on-the-fly anomaly detection

Proceedings of the 1990 ACM/IEEE conference on Supercomputing

Parallel ODE solvers

ICS '90 Proceedings of the 4th international conference on Supercomputing

Additive Runge-Kutta schemes for convection-diffusion-reaction equations

Applied Numerical Mathematics

One- and multistep discretizations of index 2 differential algebraic systems and their use in optimization

Journal of Computational and Applied Mathematics

The behaviour of the local error in splitting methods applied to stiff problems

Journal of Computational Physics

Fourth-Order Runge---Kutta Schemes for Fluid Mechanics Applications

Journal of Scientific Computing

Error analysis of variable stepsize Runge-Kutta methods for a class of multiply-stiff singular perturbation problems

Computers & Mathematics with Applications

On an accurate third order implicit-explicit Runge--Kutta method for stiff problems

Applied Numerical Mathematics

Exponential techniques and implicit Runge-Kutta methods for singularly-perturbed volterra integro-differential equations

Neural, Parallel & Scientific Computations

Extrapolated Implicit-Explicit Time Stepping

SIAM Journal on Scientific Computing

Linear multistep methods applied to stiff initial value problems-A survey

Mathematical and Computer Modelling: An International Journal

Error bounds for explicit ERKN integrators for systems of multi-frequency oscillatory second-order differential equations

Applied Numerical Mathematics