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A class of stabilized three-step Runge-Kutta methods for the numerical integration of parabolic equations

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Publication:1244787
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DOI10.1016/S0377-0427(77)80002-2zbMath0373.65030OpenAlexW1984779578MaRDI QIDQ1244787

Jan G. Verwer

Publication date: 1977

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(77)80002-2


Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)


Related Items

Comparing time integrators for parabolic equations in two space dimensions with a mixed derivative, Modeling low Mach number reacting flow with detailed chemistry and transport, Numerical integration of semidiscrete evolution systems, Explicit Runge-Kutta methods for parabolic partial differential equations, High order explicit methods for parabolic equations


Uses Software

  • M3RK


Cites Work

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  • Explicit Runge-Kutta formulas with increased stability boundaries
  • An Implementation of a Class of Stabilized Explicit Methods for the Time Integration of Parabolic Equations
  • Software for Nonlinear Partial Differential Equations
  • Hybrid Methods for Initial Value Problems in Ordinary Differential Equations
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