Three-stage Hermite-Birkhoff solver of order 8 and 9 with variable step size for stiff ODEs

DOI10.1007/s10092-014-0121-0zbMath1323.65083OpenAlexW2077566548MaRDI QIDQ496514

Truong Nguyen-Ba, Rémi Vaillancourt, Thierry Giordano

Publication date: 22 September 2015

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-014-0121-0

zbMATH Keywords

algorithmnumerical examplesRunge-Kutta method\(A\)-stabilitylinear multistep methodconfluent Vandermonde-type systemsendpoint errorHermite-Birkhoff methodlocal error estimatorstiff DETEST problemsgeneral linear methodnumber of function evaluationsstiff ordinary differential equationvariable step

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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical methods for stiff equations (65L04)

Related Items (2)

On variable step Hermite-Birkhoff solvers combining multistep and 4-stage DIRK methods for stiff ODEs ⋮ Generalized linear multistep methods for ordinary differential equations

Uses Software

• MEBDF
• DASSL
• RODAS
• A-EBDF
• NSDTST
• STDTST

Cites Work

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