Explicit stable methods for second order parabolic systems (Q2708488)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Explicit stable methods for second order parabolic systems |
scientific article |
Statements
13 May 2002
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space discretization
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\(L_\infty\)-theory
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equidistant grid
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generator of Markov jump process
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finite difference methods
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Explicit stable methods for second order parabolic systems (English)
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The authors derive and analyze clans of finite difference methods for the \(L_\infty\)-theory of 2nd order parabolic systems. The crucial step of construction is the space discretization of an elliptic operator, \(A(x)\), on an equidistant grid so that its matrix approximations, \(A_n\), have the structure of a generator of Markov jump process. Then they approximate the parabolic system by systems of ODEs, for which explicit and stable finite difference methods are constructed and analyzed. Numerical experiments illustrate the theory.
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