Search Results for "applied-functional-analysis-applications-to-mathematical-physics-v-108-applied-mathematical-sciences"

Applied Functional Analysis

Applied Functional Analysis

Applications to Mathematical Physics

  • Author: Eberhard Zeidler
  • Publisher: Springer Science & Business Media
  • ISBN: 1461208157
  • Category: Mathematics
  • Page: 481
  • View: 310
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The first part of a self-contained, elementary textbook, combining linear functional analysis, nonlinear functional analysis, numerical functional analysis, and their substantial applications with each other. As such, the book addresses undergraduate students and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which relate to our real world. Applications concern ordinary and partial differential equations, the method of finite elements, integral equations, special functions, both the Schroedinger approach and the Feynman approach to quantum physics, and quantum statistics. As a prerequisite, readers should be familiar with some basic facts of calculus. The second part has been published under the title, Applied Functional Analysis: Main Principles and Their Applications.

An Introduction to Semiflows

An Introduction to Semiflows

  • Author: Albert J. Milani,Norbert J. Koksch
  • Publisher: CRC Press
  • ISBN: 9781420035117
  • Category: Mathematics
  • Page: 386
  • View: 4272
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This book introduces the class of dynamical systems called semiflows, which includes systems defined or modeled by certain types of differential evolution equations (DEEs). It focuses on the basic results of the theory of dynamical systems that can be extended naturally and applied to study the asymptotic behavior of the solutions of DEEs. The authors concentrate on three types of absorbing sets: attractors, exponential attractors, and inertial manifolds. They present the fundamental properties of these sets, and then proceed to show the existence of some of these sets for a number of dynamical systems generated by well-known physical models. In particular, they consider in full detail two particular PDEEs: a semilinear version of the heat equation and a corresponding version of the dissipative wave equation. These examples illustrate the most important features of the theory of semiflows and provide a sort of template that can be applied to the analysis of other models. The material builds in a careful, gradual progression, developing the background needed by newcomers to the field, and culminating in a more detailed presentation of the main topics than found in most sources. The authors' approach to and treatment of the subject builds the foundation for more advanced references and research on global attractors, exponential attractors, and inertial manifolds.

IUTAM Symposium on Discretization Methods for Evolving Discontinuities

IUTAM Symposium on Discretization Methods for Evolving Discontinuities

Proceedings of the IUTAM Symposium held Lyon, France, 4 – 7 September, 2006

  • Author: Alain Combescure,René, de Borst,Ted Belytschko
  • Publisher: Springer Science & Business Media
  • ISBN: 9781402065309
  • Category: Technology & Engineering
  • Page: 436
  • View: 7658
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In recent years, discretization methods have been proposed which are more flexible and which have the potential of capturing (moving) discontinuities in a robust and efficient manner. This monograph assembles contributions of leading experts with the most recent developments in this rapidly evolving field. It provides the most comprehensive coverage of state-of-the art numerical methods for treating discontinuities in mechanics.

Full-3D Seismic Waveform Inversion

Full-3D Seismic Waveform Inversion

Theory, Software and Practice

  • Author: Po Chen,En-Jui Lee
  • Publisher: Springer
  • ISBN: 3319166042
  • Category: Science
  • Page: 513
  • View: 4608
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This book introduces a methodology for solving the seismic inverse problem using purely numerical solutions built on 3D wave equations and which is free of the approximations or simplifications that are common in classical seismic inversion methodologies and therefore applicable to arbitrary 3D geological media and seismic source models. Source codes provided allow readers to experiment with the calculations demonstrated and also explore their own applications.

Introductory Functional Analysis

Introductory Functional Analysis

With Applications to Boundary Value Problems and Finite Elements

  • Author: B.D. Reddy,D. Daya Reddy
  • Publisher: Springer Science & Business Media
  • ISBN: 9780387983073
  • Category: Computers
  • Page: 471
  • View: 1590
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Provides a grounding in the various aspects of functional analysis, approaching abstract concepts in a motivational manner, and illustrating them where possible. The text is aimed at students who may not have been exposed to the conventional prerequisites for a course in functional analysis.

Partielle Differentialgleichungen und numerische Methoden

Partielle Differentialgleichungen und numerische Methoden

  • Author: Stig Larsson,Vidar Thomee
  • Publisher: Springer-Verlag
  • ISBN: 3540274227
  • Category: Mathematics
  • Page: 272
  • View: 6960
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Das Buch ist für Studenten der angewandten Mathematik und der Ingenieurwissenschaften auf Vordiplomniveau geeignet. Der Schwerpunkt liegt auf der Verbindung der Theorie linearer partieller Differentialgleichungen mit der Theorie finiter Differenzenverfahren und der Theorie der Methoden finiter Elemente. Für jede Klasse partieller Differentialgleichungen, d.h. elliptische, parabolische und hyperbolische, enthält der Text jeweils ein Kapitel zur mathematischen Theorie der Differentialgleichung gefolgt von einem Kapitel zu finiten Differenzenverfahren sowie einem zu Methoden der finiten Elemente. Den Kapiteln zu elliptischen Gleichungen geht ein Kapitel zum Zweipunkt-Randwertproblem für gewöhnliche Differentialgleichungen voran. Ebenso ist den Kapiteln zu zeitabhängigen Problemen ein Kapitel zum Anfangswertproblem für gewöhnliche Differentialgleichungen vorangestellt. Zudem gibt es ein Kapitel zum elliptischen Eigenwertproblem und zur Entwicklung nach Eigenfunktionen. Die Darstellung setzt keine tiefer gehenden Kenntnisse in Analysis und Funktionalanalysis voraus. Das erforderliche Grundwissen über lineare Funktionalanalysis und Sobolev-Räume wird im Anhang im Überblick besprochen.

Methoden der Mathematischen Physik

Methoden der Mathematischen Physik

  • Author: Richard Courant,David Hilbert
  • Publisher: Springer-Verlag
  • ISBN: 366236445X
  • Category: Mathematics
  • Page: 454
  • View: 7353
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Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Was ist Mathematik?

Was ist Mathematik?

  • Author: Richard Courant,Herbert Robbins
  • Publisher: Springer-Verlag
  • ISBN: 3642137016
  • Category: Mathematics
  • Page: 400
  • View: 5001
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"Was ist Mathematik?" lädt jeden ein, das Reich der Mathematik zu betreten, der neugierig genug ist, sich auf ein Abenteuer einzulassen. Das Buch richtet sich an Leser jeden Alters und jeder Vorbildung. Gymnasiallehrer erhalten eine Fülle von Beispielen, Studenten bietet es Orientierung, und Dozenten werden sich an den Feinheiten der Darstellung zweier Meister ihres Faches erfreuen.

Angewandte Mathematik: Body and Soul

Angewandte Mathematik: Body and Soul

Band 1: Ableitungen und Geometrie in IR3

  • Author: Kenneth Eriksson,Donald Estep,Claes Johnson
  • Publisher: Springer-Verlag
  • ISBN: 3540350063
  • Category: Mathematics
  • Page: 452
  • View: 1387
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Der 3-bändige Grundkurs für Studienanfänger verbindet die mathematische Analysis (Soul) mit numerischer Berechnung (Body) und einer Fülle von Anwendungen. Die Autoren haben die Inhalte im Unterricht erprobt. Band 1 behandelt die Grundlagen der Analysis.

Applications of functional analysis in mathematical physics

Applications of functional analysis in mathematical physics

  • Author: Sergeĭ Lʹvovich Sobolev
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: 239
  • View: 8253
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Polynomial Based Iteration Methods for Symmetric Linear Systems

Polynomial Based Iteration Methods for Symmetric Linear Systems

  • Author: N.A
  • Publisher: Springer-Verlag
  • ISBN: 3663111083
  • Category: Technology & Engineering
  • Page: 283
  • View: 6343
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Einführung in die kommutative Algebra und algebraische Geometrie

Einführung in die kommutative Algebra und algebraische Geometrie

  • Author: Ernst Kunz
  • Publisher: Springer-Verlag
  • ISBN: 3322855260
  • Category: Mathematics
  • Page: 239
  • View: 4335
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The Cumulative Book Index

The Cumulative Book Index

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: American literature
  • Page: N.A
  • View: 9387
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International Books in Print

International Books in Print

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: English imprints
  • Page: N.A
  • View: 9215
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Sturm-Liouville Operators and Applications

Sturm-Liouville Operators and Applications

  • Author: V.A. Marchenko
  • Publisher: Springer-Verlag
  • ISBN: 3034854854
  • Category: Juvenile Nonfiction
  • Page: 367
  • View: 3891
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Zeitschrift für Analysis und ihre Anwendungen

Zeitschrift für Analysis und ihre Anwendungen

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematical analysis
  • Page: N.A
  • View: 5524
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Geometrical Methods of Mathematical Physics

Geometrical Methods of Mathematical Physics

  • Author: Bernard F. Schutz
  • Publisher: Cambridge University Press
  • ISBN: 9780521298872
  • Category: Mathematics
  • Page: 250
  • View: 5864
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For physicists and applied mathematicians working in the fields of relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This book provides an introduction to the concepts and techniques of modern differential theory, particularly Lie groups, Lie forms and differential forms.

American Book Publishing Record

American Book Publishing Record

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: American literature
  • Page: N.A
  • View: 7468
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Subject Guide to Books in Print

Subject Guide to Books in Print

An Index to the Publishers' Trade List Annual

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: American literature
  • Page: N.A
  • View: 6256
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