DMCA. Copyrighted Work that you can Claim.
Base have 37 000 books.
Search: 


📙 Fourier series and numerical methods for partial differential equations by Bernatz R. — download pdf


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.

About book:

  • Author: Bernatz R.
  • Year: 2010
  • Publisher: Wiley
  • Language: English
  • ISBN: 0470617969,9780470617960

About file:

  • DPI: 300
  • File size: 2 109 431
  • Format: djvu


Security code:
Download button

Similar books results


Numerical Methods for Partial Differential Equations
Numerical Methods for Partial Differential Equations free epub by William F. Ames, Werner Rheinboldt and Alan Jeffrey (Auth.)

This volume is designed as an introduction to the concepts of modern numerical analysis as they apply to partial differential equations. The book contains many practical problems and their solutions, but at the same time, strives to expose the pitfalls--s...

Numerical Methods for Ordinary Differential Equations: Initial Value Problems
Numerical Methods for Ordinary Differential Equations: Initial Value Problems epub download by David F. Griffiths, Desmond J. Higham (auth.)

Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. Written for undergraduate students with a mathematical background, this book focuses on the ana...

Splitting methods for partial differential equations with rough solutions
Splitting methods for partial differential equations with rough solutions free download by Holden H., et al.

Operator splitting (or the fractional steps method) is a very common tool to analyze nonlinear partial differential equations both numerically and analytically. By applying operator splitting to a complicated model one can often split it into simpler prob...

Linear Partial Differential Equations for Scientists and Engineers
Linear Partial Differential Equations for Scientists and Engineers free download by Tyn Myint-U, Lokenath Debnath

One of the most fundamental and active areas in mathematics, the theory of partial differential equations (PDEs) is essential in the modeling of natural phenomena. PDEs have a wide range of interesting and important applications in every branch of applied...

Order Structure and Topological Methods in Nonlinear Partial Differential Equations: Maximum Principles and Applications, Volume 1
Order Structure and Topological Methods in Nonlinear Partial Differential Equations: Maximum Principles and Applications, Volume 1 pdf free by Yihong Du

The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically introduce the applications of order structure in certain n...

Efficient numerical methods for non-local operators
Efficient numerical methods for non-local operators free epub by Boerm S.

Hierarchical matrices present an efficient way of treating dense matrices that arise in the context of integral equations, elliptic partial differential equations, and control theory. While a dense $n\times n$ matrix in standard representation requires...

Fourier series in several variables with applications to partial differential equations
Fourier series in several variables with applications to partial differential equations free epub by Shapiro V.

Fourier Series in Several Variables with Applications to Partial Differential Equations illustrates the value of Fourier series methods in solving difficult nonlinear partial differential equations (PDEs). Using these methods, the author presents results ...

Boundary Value Problems: And Partial Differential Equations
Boundary Value Problems: And Partial Differential Equations free epub by Powers D. L.

Boundary Value Problems is the leading text on boundary value problems and Fourier series for professionals and students in engineering, science, and mathematics who work with partial differential equations.In this updated edition, author David Powers pro...

Fourier analysis and nonlinear partial differential equations
Fourier analysis and nonlinear partial differential equations pdf free by Hajer Bahouri, Jean-Yves Chemin, Raphaël Danchin (auth.)

In recent years, the Fourier analysis methods have expereinced a growing interest in the study of partial differential equations. In particular, those techniques based on the Littlewood-Paley decomposition have proved to be very efficient for the study of...

The Semantics of English Prepositions: Spatial Scenes, Embodied Meaning, and Cognition
The Semantics of English Prepositions: Spatial Scenes, Embodied Meaning, and Cognition free pdf by Andrea Tyler, Vyvyan Evans

Using a cognitive linguistics perspective, this work provides the most comprehensive, theoretical analysis of the semantics of English prepositions available. All English prepositions are originally coded as spatial relations between two physical entities...

The Sentinel CEO: Perspectives on Security, Risk, and Leadership in a Post-9/11 World
The Sentinel CEO: Perspectives on Security, Risk, and Leadership in a Post-9/11 World epub download by William G. Parrett

A forward-thinking approach to addressing corporate security challenges after 9/11 The Sentinel CEO takes a proactive look-from the perspective of top executives-at the ways business has changed since 9/11. Filled with in-depth interviews with A...

The Sense and Sensibility: Screenplay & Diaries : Bringing Jane Austen's Novel to Film
The Sense and Sensibility: Screenplay & Diaries : Bringing Jane Austen's Novel to Film free epub by Emma Thompson, Clive Coote, Lindsay Doran

This engaging and beautiful book includes the complete Academy Award-winning script and Thompson's own diaries detailing the production of the film, reviewed by Stanley Kauffmann in The New Republic as ''vivid, funny, and gamy.'' 88 photos including 36 in...

The Serpent's Gift: Gnostic Reflections on the Study of Religion
The Serpent's Gift: Gnostic Reflections on the Study of Religion free epub by Jeffrey J. Kripal

“Because thou hast done this, thou art cursed above all cattle, and above every beast of the field.” With those words in Genesis, God condemns the serpent for tempting Adam and Eve, and the serpent has shouldered the blame ever since. But how would th...

The September 11 Syndrome: Seven Steps to Getting a Grip in Uncertain Times
The September 11 Syndrome: Seven Steps to Getting a Grip in Uncertain Times download pdf by Harriet Braiker

**A portion of the profits from this book are being donated to 9-11 related charities Proven methods for how to live fully and panic-free in the face of anxiety and stress More than just the World Trade Centers were destroyed on September 11. Also ...

The Semantic Web: Research and Applications: 7th Extended Semantic Web Conference, ESWC 2010, Heraklion, Crete, Greece, May 30 – June 3, 2010, Proceedings, Part II
The Semantic Web: Research and Applications: 7th Extended Semantic Web Conference, ESWC 2010, Heraklion, Crete, Greece, May 30 – June 3, 2010, Proceedings, Part II free epub by José María García, David Ruiz, Antonio Ruiz-Cortés (auth.), Lora Aroyo, Grigoris Antoniou, Eero Hyvönen, Annette ten Teije, Heiner Stuckenschmidt, Liliana Cabral, Tania Tudorache (eds.)

This volume contains papers from the technical program of the 7th Extended Semantic Web Conference (ESWC 2010), held from May 30 to June 3, 2010, in Heraklion, Greece. ESWC 2010 presented the latest results in research and applications of Semantic Web tec...

The Semantic Web: Research and Applications: 7th Extended Semantic Web Conference, ESWC 2010, Heraklion, Crete, Greece, May 30 –June 3, 2010, Proceedings, Part I
The Semantic Web: Research and Applications: 7th Extended Semantic Web Conference, ESWC 2010, Heraklion, Crete, Greece, May 30 –June 3, 2010, Proceedings, Part I free download by Davide Francesco Barbieri, Daniele Braga, Stefano Ceri, Emanuele Della Valle (auth.), Lora Aroyo, Grigoris Antoniou, Eero Hyvönen, Annette ten Teije, Heiner Stuckenschmidt, Liliana Cabral, Tania Tudorache (eds.)

This volume contains papers from the technical program of the 7th Extended Semantic Web Conference (ESWC 2010), held from May 30 to June 3, 2010, in Heraklion, Greece. ESWC 2010 presented the latest results in research and applications of Semantic Web tec...

The Semantic Web: Research and Applications: 9th Extended Semantic Web Conference, ESWC 2012, Heraklion, Crete, Greece, May 27-31, 2012. Proceedings
The Semantic Web: Research and Applications: 9th Extended Semantic Web Conference, ESWC 2012, Heraklion, Crete, Greece, May 27-31, 2012. Proceedings free download by Abraham Bernstein (auth.), Elena Simperl, Philipp Cimiano, Axel Polleres, Oscar Corcho, Valentina Presutti (eds.)

This book constitutes the refereed proceedings of the 9th Extended Semantic Web Conference, ESWC 2012, held in Heraklion, Crete, Greece, in May 2012. The 53 revised full papers presented were carefully reviewed and selected from 212 submissions. They are ...

The Separation and Isolation of Proteins. A Laboratory Manual of Analytical Methods of Protein Chemistry (Including Polypeptides)

The Semiotics of Exile in Literature