A principle for construction of one-step integration methods with maximum imaginary stability limits

DOI10.1016/0378-4754(87)90100-5zbMath0637.65064OpenAlexW2010372237MaRDI QIDQ1098577

Ingemar P. E. Kinnmark

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0378-4754(87)90100-5

zbMATH Keywords

systemstability regionexplicit one-step integration methods

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items

Efficient low-storage Runge-Kutta schemes with optimized stability regions ⋮ Many-stage optimal stabilized Runge-Kutta methods for hyperbolic partial differential equations ⋮ On iterated Crank-Nicolson methods for hyperbolic and parabolic equations

Cites Work

• One step integration methods with maximum stability regions
• One step integration methods of third-fourth order accuracy with large hyperbolic stability limits
• New stability theorems concerning one-step numerical methods for ordinary differential equations
• Explicit Runge-Kutta formulas with increased stability boundaries
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