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- W2000495918 abstract "The Burgers equation is solved for Reynolds numbers ensuremath{lesssim}8000 in a representation using coarse-scale scaling functions and a subset of the wavelets at finer scales of resolution. Situations are studied in which the solution develops a shocklike discontinuity. Extra wavelets are kept for several levels of higher resolution in the neighborhood of this discontinuity. Algorithms are presented for the calculation of matrix elements of first- and second-derivative operators and a useful product operation in this truncated wavelet basis. The time evolution of the system is followed using an implicit time-stepping computer code. An adaptive algorithm is presented which allows the code to follow a moving shock front in a system with periodic boundary conditions." @default.
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- W2000495918 date "1992-12-01" @default.
- W2000495918 modified "2023-09-26" @default.
- W2000495918 title "Using wavelets to solve the Burgers equation: A comparative study" @default.
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- W2000495918 doi "https://doi.org/10.1103/physreva.46.7953" @default.
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