蚀刻术 发表于 2025-3-23 10:14:30

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平静生活 发表于 2025-3-23 15:58:39

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sphincter 发表于 2025-3-23 21:26:57

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过分 发表于 2025-3-24 02:10:34

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MILK 发表于 2025-3-24 02:26:01

Multistep Backward Difference Methods,hen the method is stable and has a smoothing property analogous to that of single step methods of type IV. We shall use these properties to derive both smooth and nonsmooth data error estimates. In the end of the chapter we shall also discuss the use of two-step backward difference operators with variable time steps.

arterioles 发表于 2025-3-24 09:50:34

https://doi.org/10.1007/978-981-99-8174-8tes. We shall exemplify this by showing how certain integrals of the solution of the parabolic problem, and, in one space dimension, the values of the solution at certain points may be calculated with high accuracy using the semidiscrete solution.

搜集 发表于 2025-3-24 14:37:25

https://doi.org/10.1007/978-3-662-45085-7ential, which allows the standard Euler and Crank-Nicolson procedures as special cases, and then to apply the results obtained to the spatially discrete problem investigated in the preceding chapters. The analysis uses eigenfunction expansions related to the elliptic operator occurring in the parabolic equation, which we assume positive definite.

领袖气质 发表于 2025-3-24 15:48:28

Postscript: Beside(s) the Empiricalalso in the time variable and thus define and analyze a method which treats the time and space variables similarly. The approximate solution will be sought as a piecewise polynomial function in . of degree at most . – 1, which is not necessarily continuous at the nodes of the defining partition.

唠叨 发表于 2025-3-24 20:01:13

Negative Norm Estimates and Superconvergence,tes. We shall exemplify this by showing how certain integrals of the solution of the parabolic problem, and, in one space dimension, the values of the solution at certain points may be calculated with high accuracy using the semidiscrete solution.

MANIA 发表于 2025-3-25 01:37:17

Single Step Fully Discrete Schemes for the Homogeneous Equation,ential, which allows the standard Euler and Crank-Nicolson procedures as special cases, and then to apply the results obtained to the spatially discrete problem investigated in the preceding chapters. The analysis uses eigenfunction expansions related to the elliptic operator occurring in the parabolic equation, which we assume positive definite.
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查看完整版本: Titlebook: Galerkin Finite Element Methods for Parabolic Problems; Vidar Thomée Book 2006Latest edition Springer-Verlag GmbH Germany 2006 Approximati