Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Stiff differential equations solved by Radau methods
Proceedings of the on Numerical methods for differential equations
Design, analysis and testing of some parallel two-step W-methods for stiff systems
Applied Numerical Mathematics
Construction of highly stable two-step W-methods for ordinary differential equations
Journal of Computational and Applied Mathematics
Implicit parallel peer methods for stiff initial value problems
Applied Numerical Mathematics - Tenth seminar on and differential-algebraic equations (NUMDIFF-10)
Parallel two-step ROW-methods for stiff delay differential equations
Applied Numerical Mathematics
Implicit parallel peer methods for stiff initial value problems
Applied Numerical Mathematics
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Parallel two-step W-methods (shortly PTSW-methods) use s linearly-implicit external stages which may be processed in parallel. We discuss convergence properties of these methods on singularly perturbed problems and give estimates for the global error for non-constant stepsizes. Due to the high stage order of the method no order reduction occurs.