Sets of convergence and stability regions
Copyright policy )Sets of convergence and stability regions
Methods of time iterations (dynamic iterations) for an initial value problem for large linear systems \(\dot x+Ax=f\) (A is an n by n complex matrix) are investigated. A convergence criterium for the iteration schemes in terms of the splitting of the matrix A and the stability properties of the time discretization method is presented.
- University of Helsinki Finland
- Helsinki University of Technology Finland
dynamic iterations, Iterative numerical methods for linear systems, waveform relaxation, convergence, multistep methods, time iterations, parallel computing, splitting, Linear ordinary differential equations and systems, linear systems, Parallel numerical computation, stability, Numerical methods for initial value problems involving ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations, modularity, time discretization
dynamic iterations, Iterative numerical methods for linear systems, waveform relaxation, convergence, multistep methods, time iterations, parallel computing, splitting, Linear ordinary differential equations and systems, linear systems, Parallel numerical computation, stability, Numerical methods for initial value problems involving ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations, modularity, time discretization
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