標(biāo)題: Titlebook: Iterative Solution of Large Sparse Systems of Equations; Wolfgang Hackbusch Book 2016Latest edition Springer International Publishing Swit [打印本頁] 作者: Fuctionary 時(shí)間: 2025-3-21 17:19
書目名稱Iterative Solution of Large Sparse Systems of Equations影響因子(影響力)
書目名稱Iterative Solution of Large Sparse Systems of Equations影響因子(影響力)學(xué)科排名
書目名稱Iterative Solution of Large Sparse Systems of Equations網(wǎng)絡(luò)公開度
書目名稱Iterative Solution of Large Sparse Systems of Equations網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Iterative Solution of Large Sparse Systems of Equations被引頻次
書目名稱Iterative Solution of Large Sparse Systems of Equations被引頻次學(xué)科排名
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書目名稱Iterative Solution of Large Sparse Systems of Equations年度引用學(xué)科排名
書目名稱Iterative Solution of Large Sparse Systems of Equations讀者反饋
書目名稱Iterative Solution of Large Sparse Systems of Equations讀者反饋學(xué)科排名
作者: abstemious 時(shí)間: 2025-3-21 21:05 作者: handle 時(shí)間: 2025-3-22 01:28
Gradient Methodection 9.3 we discuss the drawback of the gradient directions and introduce the conjugate directions in preparation for the conjugate gradient method in the next chapter. The final Section 9.4 mentions a variant of the gradient method: the minimal residual iteration which can be applied to any regular matrix ..作者: 財(cái)政 時(shí)間: 2025-3-22 08:09 作者: ESPY 時(shí)間: 2025-3-22 12:33 作者: 精致 時(shí)間: 2025-3-22 15:14
Domain Decomposition and Subspace MethodsHere we distinguish between the additive and multiplicative subspace iteration as explained in the corresponding Sections 12.6 and 12.7. Illustrations follow in Section 12.8. Interestingly, multigrid iterations can also be considered as subspace iterations as analysed in Section 12.9.作者: 價(jià)值在貶值 時(shí)間: 2025-3-22 17:16
Introductiondirect solution by the Gauss elimination is determined. This cost can be compared with the cost of the iterative methods introduced later. In Section 1.6, the Gauss–Seidel and SOR iteration are presented as first examples of linear iterations. Finally, in Section 1.7, sparsity of the underlying matrix discussed.作者: jarring 時(shí)間: 2025-3-22 21:37 作者: Fissure 時(shí)間: 2025-3-23 04:56 作者: 裁決 時(shí)間: 2025-3-23 09:30
-LU Iterationrrespondingly, the .-LU iteration described in Section 13.4 is very fast. The variant discussed in . 13.4.2 is purely algebraic, i.e., the data needed for the iteration are only based on the underlying matrix. Concerning details about the technique of hierarchical matrices, we refer to Appendix D.作者: 使虛弱 時(shí)間: 2025-3-23 11:18
Tensor-based Methodsted in §14.2.2.3 will play an important role as preconditioner. In Section 14.3 two different types of huge linear systems are described together with the definition of the truncated iteration for their solution. Finally, in Section 14.4, the variational approach and the alternating least squares method are mentioned.作者: filial 時(shí)間: 2025-3-23 17:13
0066-5452 erences.Content grew out of a series of lectures given by auIn the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure 作者: Classify 時(shí)間: 2025-3-23 18:28
Wolfgang Hackbusch in der terti?ren Ausbildung. Bei einer Titelinflation, so die Annahme, verlagert sich der distinktive Vorteil der oberen Schichten st?rker auf die horizontale Ungleichheit in Form der Wahl des Studienfachs. Bisherige Studien diesbezüglich zeigten, wenn überhaupt, nur schwache Effekte von Herkunftsm作者: 產(chǎn)生 時(shí)間: 2025-3-24 01:49
Wolfgang Hackbuscheziehungen zwischen dem Input und den Outputs bzw. Outcomes (bspw. im Sinne eines studentischen Kompetenzerwerbs) erlauben. Derartige Kausalaussagen auf der Basis von punktuell erhobenen studentischen Qualit?tsurteilen und Selbsteinsch?tzungen, die das landl?ufig eingesetzte Methodenrepertoire in de作者: 摘要記錄 時(shí)間: 2025-3-24 03:31 作者: collateral 時(shí)間: 2025-3-24 06:37
Wolfgang Hackbuschchschulen. Die Infragestellung und Kontrolle von Hochschulleistung korrelierte mit einer Distanzierung vom idealistischen Exzellenzkonzept, der die Qualit?t h?herer Bildung an drei Prinzipien festmachte: 1) dem Prinzip der Einheit von Forschung und Lehre, 2) der Einsamkeit und Freiheit und 3) der Ge作者: Nmda-Receptor 時(shí)間: 2025-3-24 13:33
Wolfgang Hackbuschgnis aus dem Jahre 1994 gleichgesetzt, als die Hochschulrektorenkonferenz mit dem EU-Pilotprojekt ?Evaluating Quality in Higher Education“ zur Erprobung neuartiger Evaluationsverfahren betraut wurde. Nur wenige erinnern sich an die Vorl?ufer der Hochschuldidaktik in den 1970er Jahren oder an die Stu作者: 少量 時(shí)間: 2025-3-24 18:50
Wolfgang Hackbusch Bildungspolitik ausgew?hlter deutscher Bundesl?nder verarbeitet wurden: Welche bildungspolitischen Entscheidungen wurden dadurch angeregt, welche Ma?nahmeprogramme wurden realisiert? Und vor allem: In welcher Weise hat dabei das jeweiligen Schulministerium, haben Minister beziehungsweise Ministerin作者: Pamphlet 時(shí)間: 2025-3-24 20:17 作者: 休戰(zhàn) 時(shí)間: 2025-3-25 02:22 作者: 惡名聲 時(shí)間: 2025-3-25 03:39 作者: 出沒 時(shí)間: 2025-3-25 10:13
Wolfgang Hackbuschhe spectacular progress of chemical research. Our food supply has not been spared from this general trend, however, and chemical sub- stances are being continuously incorporated in foodstuffs. Some of these substances are added to food for technological purposes such as pre- serving food from bacter作者: 制度 時(shí)間: 2025-3-25 14:36
Introductionhods. Deliberately, a simply structured problem is chosen since this allows us to determine all required quantities explicitly. The role of the ordering of the unknowns is explained. Section 1.3 introduces the notation for vectors and matrices. Besides the behaviour of an iterative method for a sing作者: 做作 時(shí)間: 2025-3-25 19:23
Iterative Methodshe given system of equations, as well as ., guaranteeing the success of the iteration. The most important result of this chapter is the characterisation of the convergence of linear iterations by the spectral radius of the iteration matrix (cf. §2.1.4). Since we only consider iterative methods for s作者: 大約冬季 時(shí)間: 2025-3-25 21:40
Classical Linear Iterations in the Positive Definite Casever, is essentially different for the case of positive definite matrices . discussed below and other cases studied in Chapter 4. The introductory Section 3.1 underlines the fact that the positive definite case is of practical interest. The Poisson model matrix is an example of a positive definite ma作者: 感情 時(shí)間: 2025-3-26 03:16
Analysis of Classical Iterations Under Special Structural Conditionstructural matrix property. In Section 4.1, we consider the simpler structure of 2-cyclic matrices. Sections 4.3–4.5 investigate the Richardson, Jacobi, and Gauss–Seidel iteration in this case. Section 4.6 contains the analysis of the SOR iteration. Finally, Section 4.7 presents numerical results for作者: 空洞 時(shí)間: 2025-3-26 07:35
Algebra of Linear Iterations an algebra, i.e., there are several operations defined on .. In this chapter we define the following operations: . of a linear iteration . produces the adjoint iteration .. This gives rise to the definition of symmetric and positive definite iterations in Section 5.1. . of a linear iteration . by a作者: creditor 時(shí)間: 2025-3-26 11:19
Analysis of Positive Definite Iterationsates six cases which are analysed in Section 6.2. In several cases, convergence holds for a suitably damped version of the iteration. Of particular interest are symmetric and positive definite iterations constructed in the previous chapter. In Section 6.3 we analyse traditional symmetric iterative m作者: GROUP 時(shí)間: 2025-3-26 16:04 作者: 證明無罪 時(shí)間: 2025-3-26 16:47
Semi-Iterative Methodssing the notion of Krylov spaces, we only require that the errors of the semi-iterates . be elements of the Krylov space .. In the second formulation of Section 8.2, the polynomials . associated with . are related either by a two-term or by a three-term recursion. Section 8.3 tries to determine the 作者: defray 時(shí)間: 2025-3-26 23:39 作者: lipids 時(shí)間: 2025-3-27 01:52
Conjugate Gradient Methods and Generalisations iteration. However, its use is restricted to positive definite matrices and positive definite iterations. There are several generalisations to the Hermitian and to the general case. In Section 10.1 we introduce the general concept of the required orthogonality conditions and the possible connection作者: 贊美者 時(shí)間: 2025-3-27 06:18
Multigrid Iterationsore, their applicability does not require symmetry or positive definiteness. Books devoted to multigrid are Hackbusch [183], Wesseling [395], Trottenberg–Oosterlee–Schuller [367], Shaidurov [338], and Vassilevski [378]; see also [205, pp. 1–312]. The ‘smoothing step’ and the ‘coarse-grid correction’作者: 政府 時(shí)間: 2025-3-27 12:14 作者: 無關(guān)緊要 時(shí)間: 2025-3-27 14:02
-LU Iterationndary element method. The .-LU iteration has an almost optimal order of convergence. Section 13.1 describes computing the general LU decomposition by using hierarchical matrices. In the case of sparse matrices, in particular, finite element matrices, the cluster tree can be modified (cf. Section 13.作者: 平靜生活 時(shí)間: 2025-3-27 18:34 作者: licence 時(shí)間: 2025-3-27 23:01
Wolfgang Hackbuschrvey, die seit über 30 Jahren von der Arbeitsgruppe Hochschulforschung an der Universit?t Konstanz durchgeführt wird. Im Ergebnis zeigten sich nur geringe Effekte der Bildung des Vaters, aber eine Erh?hung der Wahrscheinlichkeit zwischen 10 und über 20 Prozent bezüglich der jeweiligen Studienfachwah作者: 整頓 時(shí)間: 2025-3-28 02:29
Wolfgang Hackbusch, zu reduzieren. Anhand der Darstellung eines Modells zur Erhebung von Paneldaten zum Zweck der Evaluation von Lehre und Studium diskutieren wir die Potenziale, die mit L?ngsschnittdaten verknüpft sind, aber auch fortbestehende Probleme bei ihrem Einsatz in der Praxis der Qualit?tssicherungsarbeit v作者: Fecal-Impaction 時(shí)間: 2025-3-28 09:18 作者: 強(qiáng)壯 時(shí)間: 2025-3-28 13:14
Wolfgang Hackbuschiebs. In Folge einer unsystematisch praktizierten Strategie der Hochschulexpansion und einer stagnierenden Wirtschaftslage rückten bereits 1980 Fragen der effizienten Nutzung von Kapazit?ten in den Vordergrund politischer Steuerungsabsichten. Der Staat versuchte seine Rationalisierungsbestrebungen, 作者: 谷類 時(shí)間: 2025-3-28 15:25
Wolfgang Hackbuschualit?t als neuartiges Steuerungsinstrument führte, so kommt man nicht umhin, die historische Rekonstruktion weitaus früher anzusetzen, als zum Zeitpunkt der ersten sichtbaren Anzeichen der Institutionsbildung Mitte der 1990er Jahre. Aus diesem Grund geht die sozialgeschichtlich informierte Untersuc作者: Culmination 時(shí)間: 2025-3-28 20:41 作者: 雪上輕舟飛過 時(shí)間: 2025-3-29 00:08
Wolfgang Hackbuschellen Bemühungen zur Modernisierung der Schulsysteme klar machen. Daran anschlie?end werden in Kapitel 2 Ergebnisse empirischer Studien zur Einführung von Bildungsstandards vorgestellt und in Hinblick auf ihr Potential zur Ver?nderung des Steuerungssystems im Schulwesen interpretiert. In Kapitel 3 w作者: infantile 時(shí)間: 2025-3-29 06:17 作者: Musculoskeletal 時(shí)間: 2025-3-29 09:20
Wolfgang Hackbuschof chemicals, a third class occupies an intermediate position, represented by chemical products utilized to control insect or fungus pests in agri- culture and ectoparasites in animal husbandry. These products are cur- rently referred to as pesticides and, due to some of their properties, such as chemical sta978-94-011-7273-8978-94-011-7271-4作者: 沒有準(zhǔn)備 時(shí)間: 2025-3-29 13:37 作者: arthroscopy 時(shí)間: 2025-3-29 16:39 作者: Liability 時(shí)間: 2025-3-29 23:05 作者: 使服水土 時(shí)間: 2025-3-30 03:49 作者: medieval 時(shí)間: 2025-3-30 05:04
Classical Linear Iterations in the Positive Definite Caseitive definite iterations. The Gauss–Seidel and SOR iteration is analysed. In particular the improvement of the order of convergence by SOR is investigated. The convergence statements are illustrated in Section 3.6 for the Poisson model case and numerical examples are given.作者: 獨(dú)輪車 時(shí)間: 2025-3-30 08:41 作者: hemorrhage 時(shí)間: 2025-3-30 12:30
Multigrid Iterationstes the one-dimensional model problem. The proof demonstrates the complementary roles of the smoothing part and the coarse-grid correction. Moreover, the dependence of the convergence rate on the number of smoothing steps is determined. The multigrid iteration is defined in Section 11.4. Its computa
