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Titlebook: Analysis of Approximation Methods for Differential and Integral Equations; H.-J. Reinhardt Textbook 1985 Springer Science+Business Media N

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41#
發(fā)表于 2025-3-28 17:16:19 | 只看該作者
42#
發(fā)表于 2025-3-28 20:07:59 | 只看該作者
43#
發(fā)表于 2025-3-29 01:34:44 | 只看該作者
Biconvergence for Projection Methods via Variational Principlesanner, we were able to apply projection methods to nonlinear problems. The prototype examples for illustrating our methods were examples of boundary-value problems in ordinary and partial differential equations already introduced in Chapter 1; the convergence analysis for the finite-difference appro
44#
發(fā)表于 2025-3-29 04:33:53 | 只看該作者
Convergence of Perturbations of Integral Equations of the Second Kindn schemes that we considered can be divided into two classes, namely, those where the approximate equations can be also expressed in the form of integral equations with perturbed kernels and perturbed regions of integration, and those which represent projection methods.
45#
發(fā)表于 2025-3-29 08:02:55 | 只看該作者
Inverse Stability and Convergence for General Discrete-Time Approximations of Linear and Nonlinear I that such problems are pure initial value problems, and allow that the mappings occurring in both the exact formulation of the problem, and in the associated approximations, depend on time. Our convergence theory established for the problems in this chapter will essentially consist of a rather conc
46#
發(fā)表于 2025-3-29 11:36:25 | 只看該作者
47#
發(fā)表于 2025-3-29 19:10:23 | 只看該作者
Convergence Analysis of Special Methodsoblems. Based on this analysis, and on results on inverse stability from Chapter 12, convergence results for these methods are then obtained. It is appropriate at this point to emphasize that the investigation of the truncation errors and the resulting convergence analysis must be carried out with r
48#
發(fā)表于 2025-3-29 20:17:28 | 只看該作者
49#
發(fā)表于 2025-3-30 01:11:08 | 只看該作者
Inverse Stability and Convergence for General Discrete-Time Approximations of Linear and Nonlinear Irete description and characterization of the concepts of inverse stability, consistency, and discrete convergence. These concepts were discussed at length in the development of our general convergence theory in Part II.
50#
發(fā)表于 2025-3-30 04:14:10 | 只看該作者
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