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- W1975059575 abstract "We present an adaptive method based on the idea of multiple, component grids for the solution of hyperbolic partial differential equations using finite difference techniques. Based upon Richardson-type estimates of the truncation error, refined grids are created or existing ones removed to attain a given accuracy for a minimum amount of work. Our approach is recursive in that fine grids can themselves contain even finer grids. The grids with finer mesh width in space also have a smaller mesh width in time, making this a mesh refinement algorithm in time and space. We present the algorithm, data structures and grid generation procedure, and conclude with numerical examples in one and two space dimensions." @default.
- W1975059575 created "2016-06-24" @default.
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- W1975059575 date "1983-03-01" @default.
- W1975059575 modified "2023-10-15" @default.
- W1975059575 title "Adaptive Mesh Refinement for Hyperbolic Partial Differential Equations" @default.
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- W1975059575 doi "https://doi.org/10.21236/ada130162" @default.
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