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| Author | : Martin J. Gander |
| Publisher | : SIAM |
| Total Pages | : 163 |
| Release | : 2018-01-01 |
| Genre | : Science |
| ISBN | : 1611975301 |
Download Numerical Analysis of Partial Differential Equations Using Maple and MATLAB Book in PDF, ePub and Kindle
This book provides an elementary yet comprehensive introduction to the numerical solution of partial differential equations (PDEs). Used to model important phenomena, such as the heating of apartments and the behavior of electromagnetic waves, these equations have applications in engineering and the life sciences, and most can only be solved approximately using computers. Numerical Analysis of Partial Differential Equations Using Maple and MATLAB provides detailed descriptions of the four major classes of discretization methods for PDEs (finite difference method, finite volume method, spectral method, and finite element method) and runnable MATLAB? code for each of the discretization methods and exercises. It also gives self-contained convergence proofs for each method using the tools and techniques required for the general convergence analysis but adapted to the simplest setting to keep the presentation clear and complete. This book is intended for advanced undergraduate and early graduate students in numerical analysis and scientific computing and researchers in related fields. It is appropriate for a course on numerical methods for partial differential equations.
| Author | : Jichun Li |
| Publisher | : CRC Press |
| Total Pages | : 423 |
| Release | : 2019-09-26 |
| Genre | : Mathematics |
| ISBN | : 0429556535 |
Download Computational Partial Differential Equations Using MATLAB® Book in PDF, ePub and Kindle
In this popular text for an Numerical Analysis course, the authors introduce several major methods of solving various partial differential equations (PDEs) including elliptic, parabolic, and hyperbolic equations. It covers traditional techniques including the classic finite difference method, finite element method, and state-of-the-art numercial methods.The text uniquely emphasizes both theoretical numerical analysis and practical implementation of the algorithms in MATLAB. This new edition includes a new chapter, Finite Value Method, the presentation has been tightened, new exercises and applications are included, and the text refers now to the latest release of MATLAB. Key Selling Points: A successful textbook for an undergraduate text on numerical analysis or methods taught in mathematics and computer engineering. This course is taught in every university throughout the world with an engineering department or school. Competitive advantage broader numerical methods (including finite difference, finite element, meshless method, and finite volume method), provides the MATLAB source code for most popular PDEs with detailed explanation about the implementation and theoretical analysis. No other existing textbook in the market offers a good combination of theoretical depth and practical source codes.
| 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 | : Graham Griffiths |
| Publisher | : Academic Press |
| Total Pages | : 463 |
| Release | : 2010-12-09 |
| Genre | : Mathematics |
| ISBN | : 0123846536 |
Download Traveling Wave Analysis of Partial Differential Equations Book in PDF, ePub and Kindle
Although the Partial Differential Equations (PDE) models that are now studied are usually beyond traditional mathematical analysis, the numerical methods that are being developed and used require testing and validation. This is often done with PDEs that have known, exact, analytical solutions. The development of analytical solutions is also an active area of research, with many advances being reported recently, particularly traveling wave solutions for nonlinear evolutionary PDEs. Thus, the current development of analytical solutions directly supports the development of numerical methods by providing a spectrum of test problems that can be used to evaluate numerical methods. This book surveys some of these new developments in analytical and numerical methods, and relates the two through a series of PDE examples. The PDEs that have been selected are largely "named'' since they carry the names of their original contributors. These names usually signify that the PDEs are widely recognized and used in many application areas. The authors’ intention is to provide a set of numerical and analytical methods based on the concept of a traveling wave, with a central feature of conversion of the PDEs to ODEs. The Matlab and Maple software will be available for download from this website shortly. www.pdecomp.net Includes a spectrum of applications in science, engineering, applied mathematics Presents a combination of numerical and analytical methods Provides transportable computer codes in Matlab and Maple
| Author | : Jichun Li |
| Publisher | : CRC Press |
| Total Pages | : 376 |
| Release | : 2008-10-20 |
| Genre | : Mathematics |
| ISBN | : 1420089056 |
Download Computational Partial Differential Equations Using MATLAB Book in PDF, ePub and Kindle
This textbook introduces several major numerical methods for solving various partial differential equations (PDEs) in science and engineering, including elliptic, parabolic, and hyperbolic equations. It covers traditional techniques that include the classic finite difference method and the finite element method as well as state-of-the-art numerical
| Author | : Martin J. Gander |
| Publisher | : SIAM |
| Total Pages | : 162 |
| Release | : 2018-08-06 |
| Genre | : Science |
| ISBN | : 161197531X |
Download Numerical Analysis of Partial Differential Equations Using Maple and MATLAB Book in PDF, ePub and Kindle
This book provides an elementary yet comprehensive introduction to the numerical solution of partial differential equations (PDEs). Used to model important phenomena, such as the heating of apartments and the behavior of electromagnetic waves, these equations have applications in engineering and the life sciences, and most can only be solved approximately using computers.? Numerical Analysis of Partial Differential Equations Using Maple and MATLAB provides detailed descriptions of the four major classes of discretization methods for PDEs (finite difference method, finite volume method, spectral method, and finite element method) and runnable MATLAB? code for each of the discretization methods and exercises. It also gives self-contained convergence proofs for each method using the tools and techniques required for the general convergence analysis but adapted to the simplest setting to keep the presentation clear and complete. This book is intended for advanced undergraduate and early graduate students in numerical analysis and scientific computing and researchers in related fields. It is appropriate for a course on numerical methods for partial differential equations.
| Author | : Bouchaib Radi |
| Publisher | : John Wiley & Sons |
| Total Pages | : 218 |
| Release | : 2018-07-31 |
| Genre | : Mathematics |
| ISBN | : 1786302934 |
Download Advanced Numerical Methods with Matlab 2 Book in PDF, ePub and Kindle
The purpose of this book is to introduce and study numerical methods basic and advanced ones for scientific computing. This last refers to the implementation of appropriate approaches to the treatment of a scientific problem arising from physics (meteorology, pollution, etc.) or of engineering (mechanics of structures, mechanics of fluids, treatment signal, etc.). Each chapter of this book recalls the essence of the different methods resolution and presents several applications in the field of engineering as well as programs developed under Matlab software.
| Author | : Matthew P. Coleman |
| Publisher | : CRC Press |
| Total Pages | : 0 |
| Release | : 2024-07 |
| Genre | : Mathematics |
| ISBN | : 9781032639383 |
Download An Introduction to Partial Differential Equations with MATLAB Book in PDF, ePub and Kindle
This 3rd edition changes the book structure by lifing the role of the computational part closer to the revised analytical portion. Useful for students of mathematics, physics and engineering who would like to focus on the practical aspects of using the theory of PDEs for modeling while later taking various courses in numbrical analysis.
| Author | : H.J. Lee |
| Publisher | : CRC Press |
| Total Pages | : 528 |
| Release | : 2003-11-24 |
| Genre | : Mathematics |
| ISBN | : 0203010515 |
Download Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB Book in PDF, ePub and Kindle
This book provides a set of ODE/PDE integration routines in the six most widely used computer languages, enabling scientists and engineers to apply ODE/PDE analysis toward solving complex problems. This text concisely reviews integration algorithms, then analyzes the widely used Runge-Kutta method. It first presents a complete code before discussin
| Author | : Graham W. Griffiths |
| Publisher | : |
| Total Pages | : 447 |
| Release | : 2011-01 |
| Genre | : Computers |
| ISBN | : 9780123846525 |
Download Traveling Wave Analysis of Partial Differential Equations Book in PDF, ePub and Kindle
Partial Differential Equations have been developed and used in science and engineering for more than 200 years, yet they remain a very active area of research, both because of their role in mathematics and their application to virtually all areas of science and engineering. This research is due relatively recently to the development of computer solution methods for PDEs that have extended PDE applications in quantifying board areas of physical, chemical, and biological phenomena. This book surveys some of these new development in analytical and numerical method, and relates the two through a series of PDF examples. The PDFs that have been selected are largely, "named" in thee sense that they have the names of their original contributors. These names usually reflect that the PDFs are widely recognized and used in many application areas. The development of analytical solutions directly supports the development of numerical methods by providing a spectrum of test problem that can be used to evaluate numerical methods.
