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Fourth order Chebyshev methods with recurrence relation
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DOI：10.1137/S1064827500379549.png)
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In this paper, a new family of fourth order Chebyshev methods ( also called stabilized methods) is constructed. These methods possess nearly optimal stability regions along the negative real axis and a three-term recurrence relation. The stability properties and the high order make them suitable for large stiff problems, often space discretization of parabolic PDEs. A new code ROCK4 is proposed, illustrated at several examples, and compared to existing programs.
Keyword:
stiff ordinary differential equations
explicit Runge-Kutta methods
orthogonal polynomials
parabolic partial differential equations
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2.6
论文数:
5.1K
被引数:
1.8W
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