Exact and Truncated Difference Schemes for Boundary Value ODEs, Ivan Gavrilyuk; Martin Hermann; Volodymyr Makarov;

Автор: Bo?ko S. Jovanovi?; Endre S?li
Название: Analysis of Finite Difference Schemes
ISBN: 1447172590 ISBN-13(EAN): 9781447172598
Издательство: Springer
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Описание: This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential equations with nonsmooth solutions.Finite difference methods are a classical class of techniques for the numerical approximation of partial differential equations.

Автор: Albrecht B?ttcher; Bernd Silbermann
Название: Introduction to Large Truncated Toeplitz Matrices
ISBN: 1461271398 ISBN-13(EAN): 9781461271390
Издательство: Springer
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Описание: Introduction to Large Truncated Toeplitz Matrices is a text on the application of functional analysis and operator theory to some concrete asymptotic problems of linear algebra. The book contains results on the stability of projection methods, deals with asymptotic inverses and Moore-Penrose inversion of large Toeplitz matrices, and embarks on the asymptotic behavoir of the norms of inverses, the pseudospectra, the singular values, and the eigenvalues of large Toeplitz matrices. The approach is heavily based on Banach algebra techniques and nicely demonstrates the usefulness of C*-algebras and local principles in numerical analysis. The book includes classical topics as well as results obtained and methods developed only in the last few years. Though employing modern tools, the exposition is elementary and aims at pointing out the mathematical background behind some interesting phenomena one encounters when working with large Toeplitz matrices. The text is accessible to readers with basic knowledge in functional analysis. It is addressed to graduate students, teachers, and researchers with some inclination to concrete operator theory and should be of interest to everyone who has to deal with infinite matrices (Toeplitz or not) and their large truncations.

Автор: Debora Amadori; Laurent Gosse
Название: Error Estimates for Well-Balanced Schemes on Simple Balance Laws
ISBN: 3319247840 ISBN-13(EAN): 9783319247847
Издательство: Springer
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Описание: Yang that yield original error estimates for so-called well-balanced numerical schemes solving 1D hyperbolic systems of balance laws. Rigorous error estimates are presented for both scalar balance laws and a position-dependent relaxation system, in inertial approximation.

Автор: R?mi Abgrall; H?lo?se Beaugendre; Pietro Marco Con
Название: High Order Nonlinear Numerical Schemes for Evolutionary PDEs
ISBN: 3319381725 ISBN-13(EAN): 9783319381725
Издательство: Springer
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Описание: This book collects papers presented during the European Workshop on High Order Nonlinear Numerical Methods for Evolutionary PDEs (HONOM 2013) that was held at INRIA Bordeaux Sud-Ouest, Talence, France in March, 2013.

Автор: Siegfried M?ller
Название: Adaptive Multiscale Schemes for Conservation Laws
ISBN: 3540443258 ISBN-13(EAN): 9783540443254
Издательство: Springer
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Описание: Therefore new numerical algorithms have to be developed with a computational complexity that can be termed nearly optimal in the sense that storage and computational expense remain proportional to the "inher- ent complexity" (a term that will be made clearer later) problem.

Автор: Dai, Hongsheng
Название: Survival Analysis for Bivariate Truncated Data
ISBN: 0128054808 ISBN-13(EAN): 9780128054802
Издательство: Elsevier Science
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Описание: Survival Analysis for Bivariate Truncated Data provides readers with a comprehensive review on the existing works on survival analysis for truncated data, mainly focusing on the estimation of univariate and bivariate survival function. The most distinguishing feature of survival data is known as censoring, which occurs when the survival time can only be exactly observed within certain time intervals. A second feature is truncation, which is often deliberate and usually due to selection bias in the study design. . Truncation presents itself in different ways. For example, left truncation, which is often due to a so-called late entry bias, occurs when individuals enter a study at a certain age and are followed from this delayed entry time. Right truncation arises when only individuals who experienced the event of interest before a certain time point can be observed. Analyzing truncated survival data without considering the potential selection bias may lead to seriously biased estimates of the time to event of interest and the impact of risk factors.

Автор: Bo?ko S. Jovanovi?, Endre S?li
Название: Analysis of Finite Difference Schemes
ISBN: 1447154592 ISBN-13(EAN): 9781447154594
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential equations with nonsmooth solutions.Finite difference methods are a classical class of techniques for the numerical approximation of partial differential equations.