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发表于 2025-3-21 18:41:55
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间接
发表于 2025-3-21 20:32:13
Introduction,thod of weighted residuals (MWR) (Finlayson and Scriven (1966)). The key elements of the MWR are the trial functions (also called the expansion or approximating functions) and the test functions (also known as weight functions). The trial functions are used as the basis functions for a truncated ser
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发表于 2025-3-22 00:56:48
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accessory
发表于 2025-3-22 07:32:15
Temporal Discretization, conventional finite-differences. The typical evolution equation can be written.where the (generally) non-linear operator . contains the spatial part of the PDE. (The dependence of . upon . will not be indicated explicitly hereafter except when it is essential.) Following the general formulation of
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发表于 2025-3-22 09:08:17
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吸引力
发表于 2025-3-22 14:25:54
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发表于 2025-3-22 19:10:25
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令人悲伤
发表于 2025-3-22 21:39:33
Theory of Stability and Convergence for Spectral Methods,blems. Analysis of several non-linear problems is presented in Chaps. 11 and 12. For time-dependent problems, only the discretizations in space are considered. Stability for fully discretized time-dependent problems is discussed in Chap. 4 by a classical eigenvalue analysis, and in Chap. 12 by varia
arrogant
发表于 2025-3-23 02:05:55
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肉身
发表于 2025-3-23 05:37:39
Introduction,on instead of the exact solution, with respect to a suitable norm. An equivalent requirement is that the residual satisfy a suitable orthogonality condition with respect to each of the test functions.