Parallel iteration schemes for implicit ODEIVP methods
DOI10.1007/BF02925099zbMath0841.65060OpenAlexW2112267501MaRDI QIDQ4866737
Publication date: 14 July 1996
Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02925099
nonlinear systemparallel computationRunge-Kutta methodspreconditionersstiff differential equationsgeneral linear methodsiterative solutionimplicit methods
Numerical computation of solutions to systems of equations (65H10) Nonlinear ordinary differential equations and systems (34A34) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Multiple scale methods for ordinary differential equations (34E13)
Cites Work
- The search for the Holy Grail, or: Predictor-corrector methods for solving ODEIVPs
- Efficient block predictor-corrector methods with a small number of corrections
- Parallel ODE-solvers with stepsize control
- Parallel algorithms for initial-value problems for difference and differential equations
- The error behaviour of a general class of predictor-corrector methods
- Butcher-Kuntzmann methods for nonstiff problems on parallel computers
- Parallelism across the steps in iterated Runge-Kutta methods for stiff initial value problems
- Parallel iteration of high-order Runge-Kutta methods with stepsize control
- Preconditioning in implicit initial-value problem methods on parallel computers
- Parallel iteration across the steps of high-order Runge-Kutta methods for nonstiff initial value problems
- Iterated Runge–Kutta Methods on Parallel Computers
- Embedded Diagonally Implicit Runge-Kutta Algorithms on Parallel Computers
- Parallel methods for integrating ordinary differential equations
- Parallel Methods for the Numerical Integration of Ordinary Differential Equations
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