Third order complex-time-step methods for transient analysis. (English) Zbl 0976.65087
The author constructs third-order \(A\)-stable methods with controllable numerical dissipation for time integration of transient systems and shows with numerical examples that they are competitive with other high-order methods.
Reviewer: J.D.P.Donnelly (Oxford)
MSC:
| 65M20 | Method of lines for initial value and initial-boundary value problems involving PDEs |
| 65L05 | Numerical methods for initial value problems involving ordinary differential equations |
| 65M12 | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs |
| 65L06 | Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations |
| 35K15 | Initial value problems for second-order parabolic equations |
Keywords:
\(A\)-stability; third-order \(A\)-stable methods; controllable numerical dissipation; time integration; transient systems; numerical examples; high-order methodsReferences:
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