Partielle Differentialgleichungen Und Numerische Methoden

Partielle Differentialgleichungen und numerische Methoden PDF
Author: Stig Larsson
Publisher: Springer-Verlag
ISBN: 3540274227
Size: 17.69 MB
Format: PDF, Mobi
Category : Mathematics
Languages : de
Pages : 272
View: 1781

Get Book

Partielle Differentialgleichungen Und Numerische Methoden

by Stig Larsson, Partielle Differentialgleichungen Und Numerische Methoden Books available in PDF, EPUB, Mobi Format. Download Partielle Differentialgleichungen Und Numerische Methoden books, 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.


Partielle Differentialgleichungen Und Numerische Methoden

Partielle Differentialgleichungen und numerische Methoden PDF
Author: Stig Larsson
Publisher: Springer
ISBN: 9783540208235
Size: 53.53 MB
Format: PDF, Docs
Category : Mathematics
Languages : de
Pages : 272
View: 2366

Get Book

Partielle Differentialgleichungen Und Numerische Methoden

by Stig Larsson, Partielle Differentialgleichungen Und Numerische Methoden Books available in PDF, EPUB, Mobi Format. Download Partielle Differentialgleichungen Und Numerische Methoden books, 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.


Partial Differential Equations With Numerical Methods

Partial Differential Equations with Numerical Methods PDF
Author: Stig Larsson
Publisher: Springer Science & Business Media
ISBN: 3540887059
Size: 17.58 MB
Format: PDF, Docs
Category : Mathematics
Languages : un
Pages : 262
View: 7725

Get Book

Partial Differential Equations With Numerical Methods

by Stig Larsson, Partial Differential Equations With Numerical Methods Books available in PDF, EPUB, Mobi Format. Download Partial Differential Equations With Numerical Methods books, The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. The chapters on elliptic equations are preceded by a chapter on the two-point boundary value problem for ordinary differential equations. Similarly, the chapters on time-dependent problems are preceded by a chapter on the initial-value problem for ordinary differential equations. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. The required background on linear functional analysis and Sobolev spaces is reviewed in an appendix. The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering.


Numerische Behandlung Partieller Differentialgleichungen

Numerische Behandlung partieller Differentialgleichungen PDF
Author: Christian Großmann
Publisher: Springer-Verlag
ISBN: 9783519220893
Size: 38.82 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : de
Pages : 572
View: 3398

Get Book

Numerische Behandlung Partieller Differentialgleichungen

by Christian Großmann, Numerische Behandlung Partieller Differentialgleichungen Books available in PDF, EPUB, Mobi Format. Download Numerische Behandlung Partieller Differentialgleichungen books, Mathematiker, Naturwissenschaftler und Ingenieure erhalten mit diesem Lehrbuch eine Einführung in die numerische Behandlung partieller Differentialgleichungen. Diskutiert werden die grundlegenden Verfahren - Finite Differenzen, Finite Volumen und Finite Elemente - für die wesentlichen Typen partieller Differentialgleichungen: elliptische, parabolische und hyperbolische Gleichungen. Einbezogen werden auch moderne Methoden zur Lösung der diskreten Probleme. Hinweise auf aktuelle Software sowie zahlreiche Beispiele und Übungsaufgaben runden diese Einführung ab.


Numerical Solutions Of Partial Differential Equations

Numerical Solutions of Partial Differential Equations PDF
Author: Silvia Bertoluzza
Publisher: Springer Science & Business Media
ISBN: 3764389397
Size: 24.19 MB
Format: PDF
Category : Mathematics
Languages : un
Pages : 202
View: 4756

Get Book

Numerical Solutions Of Partial Differential Equations

by Silvia Bertoluzza, Numerical Solutions Of Partial Differential Equations Books available in PDF, EPUB, Mobi Format. Download Numerical Solutions Of Partial Differential Equations books, This book presents some of the latest developments in numerical analysis and scientific computing. Specifically, it covers central schemes, error estimates for discontinuous Galerkin methods, and the use of wavelets in scientific computing.


Partial Differential Equations

Partial Differential Equations PDF
Author: Mark S. Gockenbach
Publisher: SIAM
ISBN: 0898719356
Size: 72.22 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : un
Pages : 654
View: 1301

Get Book

Partial Differential Equations

by Mark S. Gockenbach, Partial Differential Equations Books available in PDF, EPUB, Mobi Format. Download Partial Differential Equations books, A fresh, forward-looking undergraduate textbook that treats the finite element method and classical Fourier series method with equal emphasis.


Numerical Methods For Stochastic Partial Differential Equations With White Noise

Numerical Methods for Stochastic Partial Differential Equations with White Noise PDF
Author: Zhongqiang Zhang
Publisher: Springer
ISBN: 9783319861814
Size: 72.50 MB
Format: PDF
Category :
Languages : un
Pages : 394
View: 7225

Get Book

Numerical Methods For Stochastic Partial Differential Equations With White Noise

by Zhongqiang Zhang, Numerical Methods For Stochastic Partial Differential Equations With White Noise Books available in PDF, EPUB, Mobi Format. Download Numerical Methods For Stochastic Partial Differential Equations With White Noise books,


Numerical Methods For Partial Differential Equations

Numerical Methods for Partial Differential Equations PDF
Author: Gwynne A. Evans
Publisher: Springer
ISBN:
Size: 78.70 MB
Format: PDF, ePub
Category : Mathematics
Languages : un
Pages : 290
View: 5593

Get Book

Numerical Methods For Partial Differential Equations

by Gwynne A. Evans, Numerical Methods For Partial Differential Equations Books available in PDF, EPUB, Mobi Format. Download Numerical Methods For Partial Differential Equations books, The subject of partial differential equations holds an exciting place in mathematics. Inevitably, the subject falls into several areas of mathematics. At one extreme the interest lies in the existence and uniqueness of solutions, and the functional analysis of the proofs of these properties. At the other extreme lies the applied mathematical and engineering quest to find useful solutions, either analytically or numerically, to these important equations which can be used in design and construction. The book presents a clear introduction of the methods and underlying theory used in the numerical solution of partial differential equations. After revising the mathematical preliminaries, the book covers the finite difference method of parabolic or heat equations, hyperbolic or wave equations and elliptic or Laplace equations. Throughout, the emphasis is on the practical solution rather than the theoretical background, without sacrificing rigour.


Numerical Solution Of Partial Differential Equations In Science And Engineering

Numerical Solution of Partial Differential Equations in Science and Engineering PDF
Author: Leon Lapidus
Publisher: John Wiley & Sons
ISBN: 1118031210
Size: 79.18 MB
Format: PDF
Category : Mathematics
Languages : un
Pages : 677
View: 4778

Get Book

Numerical Solution Of Partial Differential Equations In Science And Engineering

by Leon Lapidus, Numerical Solution Of Partial Differential Equations In Science And Engineering Books available in PDF, EPUB, Mobi Format. Download Numerical Solution Of Partial Differential Equations In Science And Engineering books, From the reviews of Numerical Solution of PartialDifferential Equations in Science and Engineering: "The book by Lapidus and Pinder is a very comprehensive, evenexhaustive, survey of the subject . . . [It] is unique in that itcovers equally finite difference and finite element methods." Burrelle's "The authors have selected an elementary (but not simplistic)mode of presentation. Many different computational schemes aredescribed in great detail . . . Numerous practical examples andapplications are described from beginning to the end, often withcalculated results given." Mathematics of Computing "This volume . . . devotes its considerable number of pages tolucid developments of the methods [for solving partial differentialequations] . . . the writing is very polished and I found it apleasure to read!" Mathematics of Computation Of related interest . . . NUMERICAL ANALYSIS FOR APPLIED SCIENCE Myron B. Allen andEli L. Isaacson. A modern, practical look at numerical analysis,this book guides readers through a broad selection of numericalmethods, implementation, and basic theoretical results, with anemphasis on methods used in scientific computation involvingdifferential equations. 1997 (0-471-55266-6) 512 pp. APPLIED MATHEMATICS Second Edition, J. David Logan.Presenting an easily accessible treatment of mathematical methodsfor scientists and engineers, this acclaimed work covers fluidmechanics and calculus of variations as well as more modernmethods-dimensional analysis and scaling, nonlinear wavepropagation, bifurcation, and singular perturbation. 1996(0-471-16513-1) 496 pp.


Time Dependent Partial Differential Equations And Their Numerical Solution

Time dependent Partial Differential Equations and Their Numerical Solution PDF
Author: Heinz-Otto Kreiss
Publisher: Springer Science & Business Media
ISBN: 9783764361259
Size: 59.40 MB
Format: PDF
Category : Mathematics
Languages : un
Pages : 82
View: 5842

Get Book

Time Dependent Partial Differential Equations And Their Numerical Solution

by Heinz-Otto Kreiss, Time Dependent Partial Differential Equations And Their Numerical Solution Books available in PDF, EPUB, Mobi Format. Download Time Dependent Partial Differential Equations And Their Numerical Solution books, This book studies time-dependent partial differential equations and their numerical solution, developing the analytic and the numerical theory in parallel, and placing special emphasis on the discretization of boundary conditions. The theoretical results are then applied to Newtonian and non-Newtonian flows, two-phase flows and geophysical problems. This book will be a useful introduction to the field for applied mathematicians and graduate students.


Theme: Elation by Kaira.
Cape Town, South Africa