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Fourier Series and Numerical Methods for Partial Differential Equations - Richard Bernatz
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Richard Bernatz:
Fourier Series and Numerical Methods for Partial Differential Equations - neues Buch

2010, ISBN: 9780470651377

ID: 689437617

The importance of partial differential equations (PDEs) in modelingphenomena in engineering as well as in the physical, natural, andsocial sciences is well known by students and practitioners inthese fields. Striking a balance between theory and applications,Fourier Series and Numerical Methods for Partial DifferentialEquations presents an introduction to the analytical andnumerical methods that are essential for working with partialdifferential equations. Combining methodologies from calculus,introductory linear algebra, and ordinary differential equations(ODEs), the book strengthens and extends readers´ knowledge of thepower of linear spaces and linear transformations for purposes ofunderstanding and solving a wide range of PDEs. The book begins with an introduction to the general terminologyand topics related to PDEs, including the notion of initial andboundary value problems and also various solution techniques.Subsequent chapters explore: * The solution process for Sturm-Liouville boundary value ODEproblems and a Fourier series representation of the solution ofinitial boundary value problems in PDEs * The concept of completeness, which introduces readers toHilbert spaces * The application of Laplace transforms and Duhamel´s theorem tosolve time-dependent boundary conditions * The finite element method, using finite dimensionalsubspaces * The finite analytic method with applications of theFourier series methodology to linear version of non-linearPDEs Throughout the book, the author incorporates his ownclass-tested material, ensuring an accessible and easy-to-followpresentation that helps readers connect presented objectives withrelevant applications to their own work. Maple is used throughoutto solve many exercises, and a related Web site features Mapleworksheets for readers to use when working with the book´s one- andmulti-dimensional problems. Fourier Series and Numerical Methods for Partial DifferentialEquations is an ideal book for courses on applied mathematicsand partial differential equations at the upper-undergraduate andgraduate levels. It is also a reliable resource for researchers andpractitioners in the fields of mathematics, science, andengineering who work with mathematical modeling of physicalphenomena, including diffusion and wave aspects. Fourier Series and Numerical Methods for Partial Differential Equations eBooks > Fremdsprachige eBooks > Englische eBooks > Sach- & Fachthemen > Technik PDF 10.08.2010 eBook, John Wiley & Sons Inc, .201

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Fourier Series and Numerical Methods for Partial Differential Equations - Richard Bernatz
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Richard Bernatz:
Fourier Series and Numerical Methods for Partial Differential Equations - neues Buch

2010, ISBN: 9780470651377

ID: 689437617

The importance of partial differential equations (PDEs) in modelingphenomena in engineering as well as in the physical, natural, andsocial sciences is well known by students and practitioners inthese fields. Striking a balance between theory and applications,Fourier Series and Numerical Methods for Partial DifferentialEquations presents an introduction to the analytical andnumerical methods that are essential for working with partialdifferential equations. Combining methodologies from calculus,introductory linear algebra, and ordinary differential equations(ODEs), the book strengthens and extends readers´ knowledge of thepower of linear spaces and linear transformations for purposes ofunderstanding and solving a wide range of PDEs. The book begins with an introduction to the general terminologyand topics related to PDEs, including the notion of initial andboundary value problems and also various solution techniques.Subsequent chapters explore: * The solution process for Sturm-Liouville boundary value ODEproblems and a Fourier series representation of the solution ofinitial boundary value problems in PDEs * The concept of completeness, which introduces readers toHilbert spaces * The application of Laplace transforms and Duhamel´s theorem tosolve time-dependent boundary conditions * The finite element method, using finite dimensionalsubspaces * The finite analytic method with applications of theFourier series methodology to linear version of non-linearPDEs Throughout the book, the author incorporates his ownclass-tested material, ensuring an accessible and easy-to-followpresentation that helps readers connect presented objectives withrelevant applications to their own work. Maple is used throughoutto solve many exercises, and a related Web site features Mapleworksheets for readers to use when working with the book´s one- andmulti-dimensional problems. Fourier Series and Numerical Methods for Partial DifferentialEquations is an ideal book for courses on applied mathematicsand partial differential equations at the upper-undergraduate andgraduate levels. It is also a reliable resource for researchers andpractitioners in the fields of mathematics, science, andengineering who work with mathematical modeling of physicalphenomena, including diffusion and wave aspects. Fourier Series and Numerical Methods for Partial Differential Equations eBooks > Fremdsprachige eBooks > Englische eBooks > Sach- & Fachthemen > Technik PDF 10.08.2010 eBook, Wiley John + Sons, .201

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Fourier Series and Numerical Methods for Partial Differential Equations - CIBA Foundation Symposium
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CIBA Foundation Symposium:
Fourier Series and Numerical Methods for Partial Differential Equations - neues Buch

ISBN: 9780470651377

ID: 9780470651377

The importance of partial differential equations (PDEs) in modeling phenomena in engineering as well as in the physical, natural, and social sciences is well known by students and practitioners in these fields. Striking a balance between theory and applications, Fourier Series and Numerical Methods for Partial Differential Equations presents an introduction to the analytical and numerical methods that are essential for working with partial differential equations. Combining methodologies from calculus, introductory linear algebra, and ordinary differential equations (ODEs), the book strengthens and extends readers' knowledge of the power of linear spaces and linear transformations for purposes of understanding and solving a wide range of PDEs. The book begins with an introduction to the general terminology and topics related to PDEs, including the notion of initial and boundary value problems and also various solution techniques. Subsequent chapters explore: The solution process for Sturm-Liouville boundary value ODE problems and a Fourier series representation of the solution of initial boundary value problems in PDEsThe concept of completeness, which introduces readers to Hilbert spaces The application of Laplace transforms and Duhamel's theorem to solve time-dependent boundary conditions The finite element method, using finite dimensional subspaces The finite analytic method with applications of the Fourier series methodology to linear version of non-linear PDEs Throughout the book, the author incorporates his own class-tested material, ensuring an accessible and easy-to-follow presentation that helps readers connect presented objectives with relevant applications to their own work. Maple is used throughout to solve many exercises, and a related Web site features Maple worksheets for readers to use when working with the book's one- and multi-dimensional problems.Fourier Series and Numerical Methods for Partial Differential Equations is an ideal book for courses on applied mathematics and partial differential equations at the upper-undergraduate and graduate levels. It is also a reliable resource for researchers and practitioners in the fields of mathematics, science, and engineering who work with mathematical modeling of physical phenomena, including diffusion and wave aspects.; PDF \ CIBA Foundation Symposium; Scientific, Technical and Medical > Mathematics > Calculus & mathematical analysis > Differential ca, Wiley

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Fourier Series and Numerical Methods for Partial Differential Equations als eBook Download von Richard Bernatz - Richard Bernatz
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Fourier Series and Numerical Methods for Partial Differential Equations: Richard Bernatz Fourier Series and Numerical Methods for Partial Differential Equations: Richard Bernatz eBooks > Belletristik > Erzählungen, John Wiley & Sons

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Details zum Buch
Fourier Series and Numerical Methods for Partial Differential Equations
Autor:

Bernatz, Richard

Titel:

Fourier Series and Numerical Methods for Partial Differential Equations

ISBN-Nummer:

Detailangaben zum Buch - Fourier Series and Numerical Methods for Partial Differential Equations


EAN (ISBN-13): 9780470651377
ISBN (ISBN-10): 0470651377
Erscheinungsjahr: 2010
Herausgeber: Wiley, J
336 Seiten
Sprache: eng/Englisch

Buch in der Datenbank seit 04.12.2012 17:30:39
Buch zuletzt gefunden am 13.05.2017 13:40:22
ISBN/EAN: 9780470651377

ISBN - alternative Schreibweisen:
0-470-65137-7, 978-0-470-65137-7


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