Semiexplicit A-Stable Runge-Kutta Methods

DOI10.2307/2006295zbMath0497.65044OpenAlexW4254058010MaRDI QIDQ3962436

G. J. Cooper, A. Sayfy

Publication date: 1979

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2006295

zbMATH Keywords

A-stabilitysemi-explicit Runge-Kutta methodsalgebraic expressions of the coefficients

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (16)

Some new additive Runge-Kutta methods and their applications ⋮ Collocation Runge–Kutta–Nyström methods for solving second-order initial value problems ⋮ A variable parameter embedded DIRK algorithm for the numerical integration of stiff systems of ODEs ⋮ A parallel DIRK method for stiff initial-value problems ⋮ A fast convergence parallel DIRKN method and its applications to PDEs ⋮ Optimization of high-order diagonally-implicit Runge-Kutta methods ⋮ Parallel-iterated Runge-Kutta methods for stiff ordinary differential equations ⋮ Some schemes for the implementation of implicit Runge-Kutta methods ⋮ \(A\)-stable diagonally implicit Runge-Kutta-Nyström methods for parallel computers ⋮ High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics ⋮ Embedded SDIRK-methods of basic order three ⋮ A framework for polynomial preconditioners based on fast transforms. II: PDE applications ⋮ Diagonally implicit Runge-Kutta formulae for the numerical integration of nonlinear two-point boundary value problems ⋮ On the use of parallel processors for implicit Runge-Kutta methods ⋮ Optimal order diagonally implicit Runge-Kutta methods ⋮ Quasi stage order conditions for SDIRK methods

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