Two-step fifth-order methods for evolutionary problems with positive operators

DOI10.1023/A:1009772215336zbMath0911.65070MaRDI QIDQ1265492

Andrei I. Tolstykh

Publication date: 26 April 1999

Published in: Positivity (Search for Journal in Brave)

zbMATH Keywords

stabilitynumerical exampleshyperbolicpositive operatorsparabolicevolutionary problemstwo-step fifth-order methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Initial value problems for second-order parabolic equations (35K15) Initial value problems for second-order hyperbolic equations (35L15) Multiple scale methods for ordinary differential equations (34E13)

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