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A class of explicit one-step methods of order two for stiff problems
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P. Novati
Published/Copyright:
September 1, 2005
In this paper we introduce a new class of explicit one-step methods of order 2 that can be used for solving stiff problems. This class constitutes a generalization of the two-stage explicit Runge– Kutta methods, with the property of having an A-stability region that varies during the integration in accordance with the accuracy requirements. Some numerical experiments on classical stiff problems are presented.
Published Online: 2005-09-01
Published in Print: 2005-09-01
Copyright 2005, Walter de Gruyter
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Articles in the same Issue
- Partition of unity method on nonmatching grids for the Stokes problem
- Higher-order relaxation schemes for hyperbolic systems of conservation laws
- UR Birkhoff interpolation schemes: reduction criterias
- On improvement of the iterated Galerkin solution of the second kind integral equations
- A class of explicit one-step methods of order two for stiff problems
Keywords for this article
stiff problems,;
Runge–Kutta methods,;
scaled methods,;
predictive controller
Articles in the same Issue
- Partition of unity method on nonmatching grids for the Stokes problem
- Higher-order relaxation schemes for hyperbolic systems of conservation laws
- UR Birkhoff interpolation schemes: reduction criterias
- On improvement of the iterated Galerkin solution of the second kind integral equations
- A class of explicit one-step methods of order two for stiff problems
