Analytical Jacobian-vector products for the matrix-free time integration of partial differential equations

DOI10.1016/j.cam.2016.05.002zbMath1348.65109OpenAlexW2392570109MaRDI QIDQ311442

Paul Tranquilli, S. Ross Glandon, Adrian Sandu, Arash Sarshar

Publication date: 13 September 2016

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

Full work available at URL: https://doi.org/10.1016/j.cam.2016.05.002

zbMATH Keywords

stabilityinitial value problemmethod of linesimplicit time integrationJacobian-vector productsmatrix-freevarying time scales

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (3)

Subspace adaptivity in Rosenbrock-Krylov methods for the time integration of initial value problems ⋮ EPIRK-\(W\) and EPIRK-\(K\) time discretization methods ⋮ Biorthogonal Rosenbrock-Krylov time discretization methods

Uses Software

• ROS3P
• ADIFOR
• CUDA
• RODAS
• TAPENADE
• TAF
• ROWMAP

Cites Work

• Unnamed Item
• Exponential-Krylov methods for ordinary differential equations
• ROWMAP -- a ROW-code with Krylov techniques for large stiff ODEs
• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• A strongly A-stable time integration method for solving the nonlinear reaction-diffusion equation
• Rosenbrock--Krylov Methods for Large Systems of Differential Equations
• The Tapenade automatic differentiation tool
• Recipes for adjoint code construction
• Composite Schemes for Conservation Laws
• ROS3P -- An accurate third-order Rosenbrock solver designed for parabolic problems

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