Largest disk of stability of explicit Runge-Kutta methods
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Publication:4184215
DOI10.1007/BF01932030zbMath0399.65051MaRDI QIDQ4184215
Olavi Nevanlinna, Rolf Jeltsch
Publication date: 1978
Published in: BIT (Search for Journal in Brave)
Ordinary Differential EquationsNumerical MethodsInitial Value ProblemsRunge-Kutta MethodStability Region
Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07)
Related Items (16)
Stepsize restrictions for stability in the numerical solution of ordinary and partial differential equations ⋮ Some stability results for explicit Runge-Kutta methods ⋮ Essentially optimal explicit Runge-Kutta methods with application to hyperbolic-parabolic equations ⋮ Stability of explicit time discretizations for solving initial value problems ⋮ Many-stage optimal stabilized Runge-Kutta methods for hyperbolic partial differential equations ⋮ Dahlquist's classical papers on stability theory ⋮ Explicit Nordsieck methods with extended stability regions ⋮ Stability radius of polynomials occurring in the numerical solution of initial value problems ⋮ Optimal strong-stability-preserving Runge-Kutta time discretizations for discontinuous Galerkin methods ⋮ A uniqueness result related to the stability of explicit Runge-Kutta methods ⋮ Absolute monotonicity of polynomials occuring in the numerical solution of initial value problems ⋮ New stability results for explicit Runge-Kutta methods ⋮ Runge-Kutta methods: Some historical notes ⋮ On the spectral radius and stiffness of Markov jump process rate matrices ⋮ One step integration methods with maximum stability regions ⋮ Regions of stability, equivalence theorems and the Courant-Friedrichs- Lewy condition
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