One step integration methods with maximum stability regions

DOI10.1016/0378-4754(84)90039-9zbMath0539.65050OpenAlexW1969251581MaRDI QIDQ794143

William G. Gray, Ingemar P. E. Kinnmark

Publication date: 1984

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(84)90039-9

zbMATH Keywords

Runge-Kutta methodsEuler's methodoptimal stabilityone step methodsmaximum stability regions

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

A principle for construction of one-step integration methods with maximum imaginary stability limits, Strong Stability Preserving Integrating Factor Runge--Kutta Methods, The development of Runge-Kutta methods for partial differential equations, Many-stage optimal stabilized Runge-Kutta methods for hyperbolic partial differential equations, Two-Derivative Error Inhibiting Schemes and Enhanced Error Inhibiting Schemes, Optimal strong-stability-preserving Runge-Kutta time discretizations for discontinuous Galerkin methods, On iterated Crank-Nicolson methods for hyperbolic and parabolic equations, New stability results for explicit Runge-Kutta methods, A parallel-in-time approach for wave-type PDEs, One step integration methods of third-fourth order accuracy with large hyperbolic stability limits

Cites Work

• New stability theorems concerning one-step numerical methods for ordinary differential equations
• Explicit Runge-Kutta formulas with increased stability boundaries
• Largest disk of stability of explicit Runge-Kutta methods
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