Collocation-based two-step Runge-Kutta methods

DOI10.1007/BF03167304zbMath0941.65072OpenAlexW2038776390MaRDI QIDQ1922272

Taketomo Mitsui, Nguyen Huu Cong

Publication date: 7 August 2000

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167304

zbMATH Keywords

collocationzero-stabilitytwo-step Runge-Kutta methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items

Parallel predictor-corrector iteration of pseudo two-step RK methods for nonstiff IVPs ⋮ A general class of explicit pseudo--two-step RKN methods on parallel computers ⋮ A class of explicit parallel two-step Runge-Kutta methods ⋮ Derivation and implementation of two-step Runge-Kutta pairs ⋮ Explicit pseudo two-step runge-kutta methods for parallel computers^∗ ⋮ Rooted tree analysis of Runge--Kutta methods with exact treatment of linear terms ⋮ Continuous variable stepsize explicit pseudo two-step RK methods

Cites Work

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