An Introduction To Partial Differential Equations With Matlab PDF Download
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| Author | : Matthew P. Coleman |
| Publisher | : CRC Press |
| Total Pages | : 670 |
| Release | : 2016-04-19 |
| Genre | : Mathematics |
| ISBN | : 1439898472 |
Download An Introduction to Partial Differential Equations with MATLAB Book in PDF, ePub and Kindle
An Introduction to Partial Differential Equations with MATLAB, Second Edition illustrates the usefulness of PDEs through numerous applications and helps students appreciate the beauty of the underlying mathematics. Updated throughout, this second edition of a bestseller shows students how PDEs can model diverse problems, including the flow of heat,
| Author | : Jeffery M. Cooper |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 549 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461217547 |
Download Introduction to Partial Differential Equations with MATLAB Book in PDF, ePub and Kindle
Overview The subject of partial differential equations has an unchanging core of material but is constantly expanding and evolving. The core consists of solution methods, mainly separation of variables, for boundary value problems with constant coeffi cients in geometrically simple domains. Too often an introductory course focuses exclusively on these core problems and techniques and leaves the student with the impression that there is no more to the subject. Questions of existence, uniqueness, and well-posedness are ignored. In particular there is a lack of connection between the analytical side of the subject and the numerical side. Furthermore nonlinear problems are omitted because they are too hard to deal with analytically. Now, however, the availability of convenient, powerful computational software has made it possible to enlarge the scope of the introductory course. My goal in this text is to give the student a broader picture of the subject. In addition to the basic core subjects, I have included material on nonlinear problems and brief discussions of numerical methods. I feel that it is important for the student to see nonlinear problems and numerical methods at the beginning of the course, and not at the end when we run usually run out of time. Furthermore, numerical methods should be introduced for each equation as it is studied, not lumped together in a final chapter.
| Author | : Alexander Stanoyevitch |
| Publisher | : John Wiley & Sons |
| Total Pages | : 834 |
| Release | : 2011-10-14 |
| Genre | : Mathematics |
| ISBN | : 1118031504 |
Download Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB Book in PDF, ePub and Kindle
| Author | : Matthew P. Coleman |
| Publisher | : CRC Press |
| Total Pages | : 510 |
| Release | : 2024-08-01 |
| Genre | : Mathematics |
| ISBN | : 1040090133 |
Download An Introduction to Partial Differential Equations with MATLAB Book in PDF, ePub and Kindle
The first two editions of An Introduction to Partial Differential Equations with MATLAB® gained popularity among instructors and students at various universities throughout the world. Plain mathematical language is used in a friendly manner to provide a basic introduction to partial differential equations (PDEs). Suitable for a one- or two-semester introduction to PDEs and Fourier series, the book strives to provide physical, mathematical, and historical motivation for each topic. Equations are studied based on method of solution, rather than on type of equation. This third edition of this popular textbook updates the structure of the book by increasing the role of the computational portion, compared to previous editions. The redesigned content will be extremely useful for students of mathematics, physics, and engineering who would like to focus on the practical aspects of the study of PDEs, without sacrificing mathematical rigor. The authors have maintained flexibility in the order of topics. In addition, students will be able to use what they have learned in some later courses (for example, courses in numerical analysis, optimization, and PDE-based programming). Included in this new edition is a substantial amount of material on reviewing computational methods for solving ODEs (symbolically and numerically), visualizing solutions of PDEs, using MATLAB®'s symbolic programming toolbox, and applying various schemes from numerical analysis, along with suggestions for topics of course projects. Students will use sample MATLAB® or Python codes available online for their practical experiments and for completing computational lab assignments and course projects.
| Author | : William E. Schiesser |
| Publisher | : Cambridge University Press |
| Total Pages | : 491 |
| Release | : 2009-03-16 |
| Genre | : Computers |
| ISBN | : 0521519861 |
Download A Compendium of Partial Differential Equation Models Book in PDF, ePub and Kindle
Presents numerical methods and computer code in Matlab for the solution of ODEs and PDEs with detailed line-by-line discussion.
| Author | : Matthew P. Coleman |
| Publisher | : CRC Press |
| Total Pages | : 685 |
| Release | : 2013-06-26 |
| Genre | : Mathematics |
| ISBN | : 1439898464 |
Download An Introduction to Partial Differential Equations with MATLAB, Second Edition Book in PDF, ePub and Kindle
An Introduction to Partial Differential Equations with MATLAB®, Second Edition illustrates the usefulness of PDEs through numerous applications and helps students appreciate the beauty of the underlying mathematics. Updated throughout, this second edition of a bestseller shows students how PDEs can model diverse problems, including the flow of heat, the propagation of sound waves, the spread of algae along the ocean’s surface, the fluctuation in the price of a stock option, and the quantum mechanical behavior of a hydrogen atom. Suitable for a two-semester introduction to PDEs and Fourier series for mathematics, physics, and engineering students, the text teaches the equations based on method of solution. It provides both physical and mathematical motivation as much as possible. The author treats problems in one spatial dimension before dealing with those in higher dimensions. He covers PDEs on bounded domains and then on unbounded domains, introducing students to Fourier series early on in the text. Each chapter’s prelude explains what and why material is to be covered and considers the material in a historical setting. The text also contains many exercises, including standard ones and graphical problems using MATLAB. While the book can be used without MATLAB, instructors and students are encouraged to take advantage of MATLAB’s excellent graphics capabilities. The MATLAB code used to generate the tables and figures is available in an appendix and on the author’s website.
| Author | : Aslak Tveito |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 402 |
| Release | : 2008-01-21 |
| Genre | : Mathematics |
| ISBN | : 0387227733 |
Download Introduction to Partial Differential Equations Book in PDF, ePub and Kindle
Combining both the classical theory and numerical techniques for partial differential equations, this thoroughly modern approach shows the significance of computations in PDEs and illustrates the strong interaction between mathematical theory and the development of numerical methods. Great care has been taken throughout the book to seek a sound balance between these techniques. The authors present the material at an easy pace and exercises ranging from the straightforward to the challenging have been included. In addition there are some "projects" suggested, either to refresh the students memory of results needed in this course, or to extend the theories developed in the text. Suitable for undergraduate and graduate students in mathematics and engineering.
| Author | : Walter A. Strauss |
| Publisher | : John Wiley & Sons |
| Total Pages | : 467 |
| Release | : 2007-12-21 |
| Genre | : Mathematics |
| ISBN | : 0470054565 |
Download Partial Differential Equations Book in PDF, ePub and Kindle
Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
| Author | : Gabriel J. Lord |
| Publisher | : Cambridge University Press |
| Total Pages | : 516 |
| Release | : 2014-08-11 |
| Genre | : Business & Economics |
| ISBN | : 0521899907 |
Download An Introduction to Computational Stochastic PDEs Book in PDF, ePub and Kindle
This book offers a practical presentation of stochastic partial differential equations arising in physical applications and their numerical approximation.
| Author | : Randall J. LeVeque |
| Publisher | : SIAM |
| Total Pages | : 356 |
| Release | : 2007-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780898717839 |
Download Finite Difference Methods for Ordinary and Partial Differential Equations Book in PDF, ePub and Kindle
This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.
