id author title date pages extension mime words sentence flesch summary cache txt 9p290863451 Damrongsak Wirasaet Numerical solutions of multi-dimensional partial differential equations using ad adaptive wavelet method 2010 .txt text/plain 292 11 33 We apply the algorithm to simulate the flow in the 2-D lid-driven cavity at moderate Reynolds numbers and in the 2-D differentially-heated cavity at high Rayleigh numbers, and in the 3-D differentially heated cavity for various values of Rayleigh numbers. For time-independent problems, the method is tested on 2- and 3-D Poisson and Helmholtz problems with exact manufactured solutions in order to numerically study the connection between the order of the wavelet, the order of finite difference, the threshold values, and the accuracy of numerical solutions. cache/9p290863451.txt txt/9p290863451.txt