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On construction of the stable permutations of parameters for the Chebyshev iterative methods. Part II
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V. I. Lebedev
Published/Copyright:
2004
This paper deals with the construction of stable infinitely extendable Chebyshev iterative processes and explicit stable methods for solving stiff systems of differential equations. It is a continuation of [V. I. Lebedev and S. A. Finogenov, On construction of the stable permutations of parameters for the Chebyshev iterative methods. Part 1. Russ. J. Numer. Anal. Math. Modelling (2002) 17, No. 5, 437–456.]. In the present paper the authors prove for the general case the estimates of values affecting stability, which are independent of the length of the iterative process.
Published Online: --
Published in Print: 2004-06-01
Copyright 2004, Walter de Gruyter
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Articles in the same Issue
- Preface
- Iterative processes for some boundary value problems of hydrodynamics
- New Monte Carlo global weight method for the approximate solution of the nonlinear Boltzmann equation
- Numerical solution of the ocean data assimilation problem
- On construction of the stable permutations of parameters for the Chebyshev iterative methods. Part II
- The regularly structured pseudospectrum
- On the grid method for approximating the derivatives of the solution of the Dirichlet problem for the Laplace equation on a rectangular parallelepiped
Articles in the same Issue
- Preface
- Iterative processes for some boundary value problems of hydrodynamics
- New Monte Carlo global weight method for the approximate solution of the nonlinear Boltzmann equation
- Numerical solution of the ocean data assimilation problem
- On construction of the stable permutations of parameters for the Chebyshev iterative methods. Part II
- The regularly structured pseudospectrum
- On the grid method for approximating the derivatives of the solution of the Dirichlet problem for the Laplace equation on a rectangular parallelepiped
