Irksome: Automating Runge–Kutta Time-stepping for Finite Element Methods
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Publication:5025174
DOI10.1145/3466168zbMath1486.65074arXiv2006.16282OpenAlexW3203790089WikidataQ113309872 ScholiaQ113309872MaRDI QIDQ5025174
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Publication date: 1 February 2022
Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.16282
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Packaged methods for numerical algorithms (65Y15)
Related Items (8)
Fast Solution of Fully Implicit Runge--Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part I: the Linear Setting ⋮ Irksome ⋮ Fast Solution of Fully Implicit Runge--Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part II: Nonlinearities and DAEs ⋮ Additive Polynomial Time Integrators, Part I: Framework and Fully Implicit-Explicit Collocation Methods ⋮ On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge-Kutta methods (ELDIRK) for the adaptive solution of phase-field problems ⋮ Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow ⋮ Weighted-Norm Preconditioners for a Multilayer Tide Model ⋮ Constraint-Satisfying Krylov Solvers for Structure-Preserving Discretizations
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