Produktbild: Frontiers in Numerical Analysis

Frontiers in Numerical Analysis Durham 2002

Aus der Reihe Universitext

49,99 €

inkl. gesetzl. MwSt., Versandkostenfrei


Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

23.06.2003

Abbildungen

XIV, 354 p. 32 illus., 1 illus. in color.

Herausgeber

James Blowey + weitere

Verlag

Springer Berlin

Seitenzahl

354

Maße (L/B/H)

23,5/15,5/2 cm

Gewicht

557 g

Auflage

Softcover reprint of the original 1st edition 2003

Sprache

Englisch

ISBN

978-3-540-44319-3

Beschreibung

Rezension

From the reviews:"The book contains detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current research area … . most of the notes contain detailed proofs of the key results. The notes start from a level suitable for first year graduate students … and proceed to current research topics. The reader should therefore be able to gain quickly an insight into the important results and techniques … ." (Zentralblatt für Didaktik der Mathematik, January, 2004)“There are seven contributions from the six speakers arranged according to increasing degree of specification. … Each contribution presents a list of references, and advice for further investigation is included. Also, detailed proofs of the main results are given in most of the notes. Because of its high quality level, its dealing with topics of current research in the area, the book is to be recommended foe mathematicians, applied mathematicians and engineers as well as for graduates in mathematical sciences.” (Paula Bruggen, Bulletin of the Belgian Mathematical Society, Vol. 15 (1), 2008)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

23.06.2003

Abbildungen

XIV, 354 p. 32 illus., 1 illus. in color.

Herausgeber

Verlag

Springer Berlin

Seitenzahl

354

Maße (L/B/H)

23,5/15,5/2 cm

Gewicht

557 g

Auflage

Softcover reprint of the original 1st edition 2003

Sprache

Englisch

ISBN

978-3-540-44319-3

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: Frontiers in Numerical Analysis
  • Subgrid Phenomena and Numerical Schemes.- 1 Introduction.- 2 The Continuous Problem.- 3 From the Discrete Problem to the Augmented Problem.- 4 An Example of Error Estimates.- 5 Computational Aspects.- 6 Conclusions.- References.- Stability of Saddle-Points in Finite Dimensions.- 1 Introduction.- 2 Notation, and Basic Results in Linear Algebra.- 3 Existence and Uniqueness of Solutions: the Solvability Problem.- 4 The Case of Big Matrices. The Inf-Sup Condition.- 5 The Case of Big Matrices. The Problem of Stability.- 6 Additional Considerations.- References.- Mean Curvature Flow.- 1 Introduction.- 2 Some Geometric Analysis.- 3 Parametric Mean Curvature Flow.- 4 Mean Curvature Flow of Level Sets I.- 5 Mean Curvature Flow of Graphs.- 6 Anisotropic Curvature Flow of Graphs.- 7 Mean Curvature Flow of Level Sets II.- 7.2 Anisotropic Mean Curvature Flow of Level Sets.- References.- An Introduction to Algorithms for Nonlinear Optimization.- 1 Optimality Conditions and Why They Are Important.- 2 Linesearch Methods for Unconstrained Optimization.- 3 Trust-Region Methods for Unconstrained Optimization.- 4 Interior-Point Methods for Inequality Constrained Optimization.- 5 SQP Methods for Equality Constrained Optimization.- 6 Conclusion.- GniCodes - Matlab Programs for Geometric Numerical Integration.- 1 Problems to be Solved.- 2 Symplectic and Symmetric Integrators.- 3 Theoretical Foundation of Geometric Integrators.- 4 Matlab Programs of ‘GniCodes’.- 5 Some Typical Applications.- References.- Numerical Approximations to Multiscale Solutions in PDEs.- 1 Introduction.- 2 Review of Homogenization Theory.- 3 Numerical Homogenization Based on Sampling Techniques.- 4 Numerical Homogenization Based on Multiscale FEMs.- 5 Wavelet-Based Homogenization (WBH).- 6 Variational MultiscaleMethod.- References.- Numerical Methods for Eigenvalue and Control Problems.- 1 Introduction.- 2 Classical Techniques for Eigenvalue Problems.- 3 Basics of Linear Control Theory.- 4 Hamiltonian Matrices and Riccati Equations.- 5 Numerical Solution of Hamiltonian Eigenvalue Problems.- 6 Large Scale Problems.- 7 Conclusion.- References.