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Some user-oriented comparisons of adaptive grid methods for partial differential equations in one space dimension. (English) Zbl 0890.65100
The authors illustrate and compare two local refinement and three moving grid algorithms for a number of one-dimensional test problems looking at accuracy, temporal performance, and ease of implementation.

MSC:
65M20 Method of lines for initial value and initial-boundary value problems involving PDEs
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs
35K15 Initial value problems for second-order parabolic equations
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