Exponential peer methods

DOI10.1016/J.APNUM.2012.06.019zbMath1267.65086OpenAlexW2093867656MaRDI QIDQ450894

Rüdiger Weiner, Tamer El-Azab

Publication date: 26 September 2012

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2012.06.019

zbMATH Keywords

numerical examplesorder conditionsexponential integratorspeer methodsExpint packageoptimal zero stabilitystiff differentiable systems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Packaged methods for numerical algorithms (65Y15) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04) Numerical methods for stiff equations (65L04)

Related Items (3)

Exponential Krylov peer integrators ⋮ Time-accurate and highly-stable explicit peer methods for stiff differential problems ⋮ Explicit pseudo two-step exponential Runge-Kutta methods for the numerical integration of first-order differential equations

Uses Software

• Expint
• Unnamed Item

Cites Work

• Unnamed Item
• A class of explicit multistep exponential integrators for semilinear problems
• Rosenbrock-type `peer' two-step methods
• Implicit parallel peer methods for stiff initial value problems
• Superconvergent explicit two-step peer methods
• Explicit two-step peer methods
• A class of explicit exponential general linear methods
• Exponential integrators
• Expokit
• Exponential Integrators for Large Systems of Differential Equations
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• Parallel Two-Step W-Methods with Peer Variables
• Exponential Rosenbrock-Type Methods
• Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems

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