Iterative schemes for Gauss methods

DOI10.1016/0898-1221(94)90150-3zbMath0792.65055OpenAlexW1986001606MaRDI QIDQ1324408

S. González-Pinto, Concepción González-Concepción, Juan I. Montijano

Publication date: 24 May 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(94)90150-3

zbMATH Keywords

convergencelinear stabilitynumerical experimentsorderimplicit Runge-Kutta methodsiterative schemesnonlinear stiff problemstwo stage Gauss method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items

Iterative schemes for three-stage implicit Runge-Kutta methods ⋮ Some linear stability results for iterative schemes for implicit Runge-Kutta methods ⋮ On the numerical solution of stiff IVPs by Lobatto IIIA Runge-Kutta methods ⋮ Improving the efficiency of the iterative schemes for implicit Runge-Kutta methods ⋮ On diagonally iterated Runge-Kutta methods for dissipative ODEs ⋮ Performance of Gauss implicit Runge-Kutta methods on separable Hamiltonian systems. ⋮ A parallelizable preconditioner for the iterative solution of implicit Runge-Kutta-type methods ⋮ Efficient implementation of Radau collocation methods ⋮ Efficient implementation of Gauss collocation and Hamiltonian boundary value methods

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