Positivity for explicit two-step methods in linear multistep and one-leg form

DOI10.1007/s10543-006-0104-xzbMath1109.65063OpenAlexW2034505525MaRDI QIDQ855277

N. N. Pham Thi, B. P. Sommeijer, Willem H. Hundsdorfer

Publication date: 5 January 2007

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/10925

zbMATH Keywords

preservation of positivityexplicit two step methodstwo-step one-leg methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (5)

On one test for the switching separability of graphs modulo \(q\) ⋮ Qualitatively stability of nonstandard 2-stage explicit Runge-Kutta methods of order two ⋮ Comparison of boundedness and monotonicity properties of one-leg and linear multistep methods ⋮ Efficient integration of strangeness-free non-stiff differential-algebraic equations by half-explicit methods ⋮ An improvement on the positivity results for 2-stage explicit Runge-Kutta methods

Cites Work

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• Partially Implicit BDF2 Blends for Convection Dominated Flows
• Strong Stability-Preserving High-Order Time Discretization Methods
• On monotonicity and boundedness properties of linear multistep methods
• Total-Variation-Diminishing Time Discretizations
• Monotonicity-Preserving Linear Multistep Methods

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