Computational Partial Differential Equations Using Matlab
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| 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 | : 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 | : Hans Petter Langtangen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 704 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 3662011700 |
Download Computational Partial Differential Equations Book in PDF, Epub and Kindle
Targeted at students and researchers in computational sciences who need to develop computer codes for solving PDEs, the exposition here is focused on numerics and software related to mathematical models in solid and fluid mechanics. The book teaches finite element methods, and basic finite difference methods from a computational point of view, with the main emphasis on developing flexible computer programs, using the numerical library Diffpack. Diffpack is explained in detail for problems including model equations in applied mathematics, heat transfer, elasticity, and viscous fluid flow. All the program examples, as well as Diffpack for use with this book, are available on the Internet. XXXXXXX NEUER TEXT This book is for researchers who need to develop computer code for solving PDEs. Numerical methods and the application of Diffpack are explained in detail. Diffpack is a modern C++ development environment that is widely used by industrial scientists and engineers working in areas such as oil exploration, groundwater modeling, and materials testing. All the program examples, as well as a test version of Diffpack, are available for free over the Internet.
| Author | : Gabriel J. Lord |
| Publisher | : Cambridge University Press |
| Total Pages | : 516 |
| Release | : 2014-08-11 |
| Genre | : Mathematics |
| ISBN | : 1139915770 |
Download An Introduction to Computational Stochastic PDEs Book in PDF, Epub and Kindle
This book gives a comprehensive introduction to numerical methods and analysis of stochastic processes, random fields and stochastic differential equations, and offers graduate students and researchers powerful tools for understanding uncertainty quantification for risk analysis. Coverage includes traditional stochastic ODEs with white noise forcing, strong and weak approximation, and the multi-level Monte Carlo method. Later chapters apply the theory of random fields to the numerical solution of elliptic PDEs with correlated random data, discuss the Monte Carlo method, and introduce stochastic Galerkin finite-element methods. Finally, stochastic parabolic PDEs are developed. Assuming little previous exposure to probability and statistics, theory is developed in tandem with state-of-the-art computational methods through worked examples, exercises, theorems and proofs. The set of MATLAB® codes included (and downloadable) allows readers to perform computations themselves and solve the test problems discussed. Practical examples are drawn from finance, mathematical biology, neuroscience, fluid flow modelling and materials science.
| 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 | : Alain Vande Wouwer |
| Publisher | : Springer |
| Total Pages | : 406 |
| Release | : 2014-06-07 |
| Genre | : Technology & Engineering |
| ISBN | : 3319067907 |
Download Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB Book in PDF, Epub and Kindle
Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB shows the reader how to exploit a fuller array of numerical methods for the analysis of complex scientific and engineering systems than is conventionally employed. The book is dedicated to numerical simulation of distributed parameter systems described by mixed systems of algebraic equations, ordinary differential equations (ODEs) and partial differential equations (PDEs). Special attention is paid to the numerical method of lines (MOL), a popular approach to the solution of time-dependent PDEs, which proceeds in two basic steps: spatial discretization and time integration. Besides conventional finite-difference and element techniques, more advanced spatial-approximation methods are examined in some detail, including nonoscillatory schemes and adaptive-grid approaches. A MOL toolbox has been developed within MATLAB®/OCTAVE/SCILAB. In addition to a set of spatial approximations and time integrators, this toolbox includes a collection of application examples, in specific areas, which can serve as templates for developing new programs. Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB provides a practical introduction to some advanced computational techniques for dynamic system simulation, supported by many worked examples in the text, and a collection of codes available for download from the book’s page at www.springer.com. This text is suitable for self-study by practicing scientists and engineers and as a final-year undergraduate course or at the graduate level.
| 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 | : Robert E. White |
| Publisher | : CRC Press |
| Total Pages | : 403 |
| Release | : 2003-09-17 |
| Genre | : Mathematics |
| ISBN | : 1135440328 |
Download Computational Mathematics Book in PDF, Epub and Kindle
Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI explores and illustrates this process. Each section of the first six chapters is motivated by a specific application. The author applies a model, selects a numerical method, implements computer simulations, and assesses the ensuing results. These chapters include an abundance of MATLAB code. By studying the code instead of using it as a "black box, " you take the first step toward more sophisticated numerical modeling. The last four chapters focus on multiprocessing algorithms implemented using message passing interface (MPI). These chapters include Fortran 9x codes that illustrate the basic MPI subroutines and revisit the applications of the previous chapters from a parallel implementation perspective. All of the codes are available for download from www4.ncsu.edu./~white. This book is not just about math, not just about computing, and not just about applications, but about all three--in other words, computational science. Whether used as an undergraduate textbook, for self-study, or for reference, it builds the foundation you need to make numerical modeling and simulation integral parts of your investigational toolbox.
| Author | : Cleve B. Moler |
| Publisher | : SIAM |
| Total Pages | : 340 |
| Release | : 2010-08-12 |
| Genre | : Computers |
| ISBN | : 0898716608 |
Download Numerical Computing with MATLAB Book in PDF, Epub and Kindle
A revised textbook for introductory courses in numerical methods, MATLAB and technical computing, which emphasises the use of mathematical software.
| 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.
