Rosenbrock methods for partial differential equations and fractional orders of convergence

Spectral/Rosenbrock discretizations without order reduction for linear parabolic problems

Applied Numerical Mathematics

Toward Non Commutative Numerical Analysis: High Order Integration in Time

Journal of Scientific Computing

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

Applied Numerical Mathematics

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

Optimal time order when implicit Runge--Kutta--Nyström methods solve linear partial differential equations

Applied Numerical Mathematics

Construction of a multirate RODAS method for stiff ODEs

Journal of Computational and Applied Mathematics

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

A stiffly accurate Rosenbrock-type method of order 2 applied to FE-analyses in finite strain viscoelasticity

Applied Numerical Mathematics

An analysis of the Prothero-Robinson example for constructing new DIRK and ROW methods

Journal of Computational and Applied Mathematics