Methods for parallel integration of stiff systems of odes
Copyright policy )Methods for parallel integration of stiff systems of odes
Parallelization of implicit Euler-type integration methods for stiff ordinary differential equations (ODEs) is obtained by decoupling the system into \(p\) subsystems for \(p\) processors. ``Internal'' solution components in each subsystem are treated implicitly, ``external'' solution components are extrapolated. The paper deals with the theory of this type of methods.
- University of Copenhagen Denmark
- University of Copenhagen Denmark
- University of Copenhagen Denmark
backward Euler methods, asymptotic global error expansion, stiff systems, extrapolation, Parallel numerical computation, Multiple scale methods for ordinary differential equations, Nonlinear ordinary differential equations and systems, decoupled backward differentiation formulas, Numerical methods for initial value problems involving ordinary differential equations, stiff equations, absolute stability, implicit Euler-type integration methods, parallel computation, Stability and convergence of numerical methods for ordinary differential equations
backward Euler methods, asymptotic global error expansion, stiff systems, extrapolation, Parallel numerical computation, Multiple scale methods for ordinary differential equations, Nonlinear ordinary differential equations and systems, decoupled backward differentiation formulas, Numerical methods for initial value problems involving ordinary differential equations, stiff equations, absolute stability, implicit Euler-type integration methods, parallel computation, Stability and convergence of numerical methods for ordinary differential equations
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