標(biāo)題: Titlebook: Analysis of Approximation Methods for Differential and Integral Equations; H.-J. Reinhardt Textbook 1985 Springer Science+Business Media N [打印本頁] 作者: 法令 時間: 2025-3-21 17:04
書目名稱Analysis of Approximation Methods for Differential and Integral Equations影響因子(影響力)
書目名稱Analysis of Approximation Methods for Differential and Integral Equations影響因子(影響力)學(xué)科排名
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書目名稱Analysis of Approximation Methods for Differential and Integral Equations被引頻次
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書目名稱Analysis of Approximation Methods for Differential and Integral Equations讀者反饋
書目名稱Analysis of Approximation Methods for Differential and Integral Equations讀者反饋學(xué)科排名
作者: 書法 時間: 2025-3-21 23:51
Alexander Mertes,Florian Liberatorerry out this analysis for both linear and nonlinear problems. As preparation, we give some general results on the solvability of linear equations of the second kind and apply these to integral equations.作者: 一再困擾 時間: 2025-3-22 04:15
Max Schr?der,Sebastian Bader,Thomas Kirste convergence “discretely uniform convergence”, but we wish to point out that this convergence is nothing other than discrete convergence in the sense of Section 5.1 with respect to a particular norm. In Section 5.4, we explore the concept of discrete convergence further by considering the example of作者: 刺激 時間: 2025-3-22 05:31
Sabine Hahn,Friederike J. S. Thilo). By virtue of the characterizations of stability to be discussed in Section 6.2, we are able to obtain equivalent conditions for the discrete convergence of differentiable mappings, along with error estimates (cf. Theorem 6.14). The concluding Section 6.4 establishes and characterizes the discrete作者: 踉蹌 時間: 2025-3-22 12:08
Michael Prilla,Heinrich Recken,Marc Jan?enGalerkin methods, we aim to produce quasi-optimal error estimates with respect to the approximations in the spatial variable. Attaining such estimates requires extensive investigations for rather simple problems so that we shall necessarily restrict the scope of our analysis of Galerkin methods to a作者: 樸素 時間: 2025-3-22 14:04
Analysis of Approximation Methods for Differential and Integral Equations作者: 魯莽 時間: 2025-3-22 20:38 作者: auxiliary 時間: 2025-3-22 23:52 作者: Hiatal-Hernia 時間: 2025-3-23 05:02
Projection Methods for Variational Equationsdering and solving each problem in a finite-dimensional subspace of the respective Hilbert spaces obtained in Section 2.2. This procedure can be viewed as a projection method. Among the many special types of projection methods in this chapter, Ritz-Galerkin methods are used for approximating solutio作者: maladorit 時間: 2025-3-23 05:48 作者: 季雨 時間: 2025-3-23 12:20
The Concepts of Discrete Convergence and Discrete Approximations convergence “discretely uniform convergence”, but we wish to point out that this convergence is nothing other than discrete convergence in the sense of Section 5.1 with respect to a particular norm. In Section 5.4, we explore the concept of discrete convergence further by considering the example of作者: 赤字 時間: 2025-3-23 15:08 作者: Dysarthria 時間: 2025-3-23 21:17 作者: 北極人 時間: 2025-3-24 00:02 作者: 不愿 時間: 2025-3-24 06:10 作者: ovation 時間: 2025-3-24 07:10 作者: FATAL 時間: 2025-3-24 13:11 作者: 河流 時間: 2025-3-24 16:23 作者: nautical 時間: 2025-3-24 21:33 作者: 熱心助人 時間: 2025-3-25 01:30
Alexander Mertes,Florian Liberatoreded into two classes: the first class consists of those methods whose approximate equations are also expressible as integral equations with the regions of integration, measures, and kernels perturbed from the corresponding quantities in the original equation. In particular, this class includes quadr作者: 別名 時間: 2025-3-25 04:42 作者: SOW 時間: 2025-3-25 11:21
Max Schr?der,Sebastian Bader,Thomas Kirsteore precise in a general setting. These concepts are introduced in Section 5.1, and explained by means of introductory examples. In Section 5.2, we show how discrete approximations are constructed by restriction and imbedding operators. On the other hand, we demonstrate that restriction operators ca作者: PALL 時間: 2025-3-25 13:12
Sabine Hahn,Friederike J. S. Thiloprepare the reader for the analysis in this chapter, we examine in Section 6.1 the relationship between the continuity of a mapping on the one hand and the differentiability and boundedness of its derivatives on the other. The most important result in 6.1 is a quantitative formulation of the Inverse作者: Obligatory 時間: 2025-3-25 19:29
Arne Buss,Pavo Marijic,Steve Strupeit, regularly convergent, and discretely compact operator sequences. These properties provide criteria for inverse stability (respectively, bistability) which, as we know from the theory developed in the preceding chapter, are essential for deducing the inverse discrete convergence (respectively, bico作者: 沖擊力 時間: 2025-3-25 22:32
https://doi.org/10.1007/978-3-658-23987-9we study the convergence of finite-difference approximations to both linear and nonlinear ordinary differential equations of second order and to Poisson’s equation on a rectangle. In Chapter 1, appropriate finite-difference approximations were introduced, and both the exact and the approximate equat作者: 人類學(xué)家 時間: 2025-3-26 02:47
Marc Kraft,Susanne Dannehl,Thomas Schaueranner, 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作者: reserve 時間: 2025-3-26 05:21 作者: 現(xiàn)代 時間: 2025-3-26 11:02
https://doi.org/10.1007/978-3-658-25461-2 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作者: 消瘦 時間: 2025-3-26 14:12
https://doi.org/10.1007/978-3-658-25461-2riteria strongly depend on the norms of the approximating spaces. The significance of the choice of norms was already made clear in Section 11.1 where we verified the differentiability requirements for several classes of examples. The analysis in this chapter, moreover, is applicable to nonlinear pr作者: 真實(shí)的人 時間: 2025-3-26 19:01 作者: gain631 時間: 2025-3-26 22:26 作者: 開始沒有 時間: 2025-3-27 02:03
Analysis of Approximation Methods for Differential and Integral Equations978-1-4612-1080-1Series ISSN 0066-5452 Series E-ISSN 2196-968X 作者: Alcove 時間: 2025-3-27 06:19 作者: degradation 時間: 2025-3-27 10:26 作者: Basal-Ganglia 時間: 2025-3-27 16:57 作者: jet-lag 時間: 2025-3-27 20:06
Projection Methods for Variational Equationsons. In Section 2.1, we establish the relation between a linear operator equation and the associated variational formulation whenever the underlying linear space is a prehilbert space and then derive variational formulations in detail for each of the sample problems in Section 1.1. In order to deduc作者: upstart 時間: 2025-3-28 00:42
Approximation Methods for Integral Equations of the Second Kindded into two classes: the first class consists of those methods whose approximate equations are also expressible as integral equations with the regions of integration, measures, and kernels perturbed from the corresponding quantities in the original equation. In particular, this class includes quadr作者: Implicit 時間: 2025-3-28 03:19
Approximation Methods for Initial Value Problems in Partial Differential Equations), which are typical examples of parabolic and hyperbolic problems, respectively. The methods we discuss comprise not only finite-difference methods but also Galerkin methods; our methods are either explicit or implicit and include so-called multilevel (more precisely, three-level) methods. In Secti作者: 鍵琴 時間: 2025-3-28 08:31 作者: 注意到 時間: 2025-3-28 12:08
Discrete Convergence of Mappings and Solutions of Equationsprepare the reader for the analysis in this chapter, we examine in Section 6.1 the relationship between the continuity of a mapping on the one hand and the differentiability and boundedness of its derivatives on the other. The most important result in 6.1 is a quantitative formulation of the Inverse作者: Manifest 時間: 2025-3-28 17:16 作者: Neonatal 時間: 2025-3-28 20:07 作者: sacrum 時間: 2025-3-29 01:34
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作者: Nucleate 時間: 2025-3-29 04:33
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.作者: 情節(jié)劇 時間: 2025-3-29 08:02
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作者: Clinch 時間: 2025-3-29 11:36 作者: 分發(fā) 時間: 2025-3-29 19:10
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作者: Esalate 時間: 2025-3-29 20:17 作者: 譏諷 時間: 2025-3-30 01:11
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.作者: CERE 時間: 2025-3-30 04:14 作者: Priapism 時間: 2025-3-30 09:12 作者: 易受騙 時間: 2025-3-30 15:42
Digitale Transformation von Arbeitsweltenociated (linear or non-linear) systems of equations. Then we formulate the original problem and its approximations as operator equations in suitable function spaces. In such a setting, we are then able to investigate accuracy properties of the finite-difference approximations themselves by analyzing the behavior of the truncation errors.
