Exponential B-Series: The Stiff Case

DOI10.1137/130920204zbMath1285.65043OpenAlexW2075304948MaRDI QIDQ5397619

Vu Thai Luan, Alexander Ostermann

Publication date: 24 February 2014

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130920204

zbMATH Keywords

semilinear parabolic problemsrooted treesB-seriesexponential Rosenbrock methodsexponential Runge-Kutta methodsanalysis of stiff orderexponential integrators for initial value problemsstiff-order conditions

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Semilinear parabolic equations (35K58) Numerical methods for stiff equations (65L04)

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