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Introduction To Numerical Ordinary And Partial Differential Equations Using MATLAB
Learn how to solve complex differential equations using MATLAB® Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB® teaches readers how to numerically solve both ordinary and partial differential equations with ease. This innovative publication brings together a skillful treatment of MATLAB and programming alongside theory and modeling. By presenting these topics in tandem, the author enables and encourages readers to perform their own computer experiments, leading them to a more profound understanding of differential equations.
The text consists of three
Introduction to MATLAB and numerical preliminaries, which introduces readers to the software and itsgraphical capabilities and shows how to use it to write programs Ordinary Differential Equations Partial Differential Equations All the tools needed to master using MATLAB to solve differential equations are provided and
"Exercises for the Reader" that range from routine computations to more advanced conceptual and theoretical questions (solutions appendix included) Illustrative examples, provided throughout the text, that demonstrate MATLAB's powerful ability to solve differential equations Explanations that are rigorous, yet written in a very accessible, user-friendly style Access to an FTP site that includes downloadable files of all the programs developed in the text This textbook can be tailored for courses in numerical differential equations and numerical analysis as well as traditional courses in ordinary and/or partial differential equations. All the material has been classroom-tested over the course of many years, with the result that any self-learner with an understanding of basic single-variable calculus can master this topic. Systematic use is made of MATLAB's superb graphical capabilities to display and analyze results. An extensive chapter on the finite element method covers enough practical aspects (including mesh generation) to enable the reader to numerically solve general elliptic boundary value problems. With its thorough coverage of analytic concepts, geometric concepts, programs and algorithms, and applications, this is an unsurpassed pedagogical tool.
The text consists of three
Introduction to MATLAB and numerical preliminaries, which introduces readers to the software and itsgraphical capabilities and shows how to use it to write programs Ordinary Differential Equations Partial Differential Equations All the tools needed to master using MATLAB to solve differential equations are provided and
"Exercises for the Reader" that range from routine computations to more advanced conceptual and theoretical questions (solutions appendix included) Illustrative examples, provided throughout the text, that demonstrate MATLAB's powerful ability to solve differential equations Explanations that are rigorous, yet written in a very accessible, user-friendly style Access to an FTP site that includes downloadable files of all the programs developed in the text This textbook can be tailored for courses in numerical differential equations and numerical analysis as well as traditional courses in ordinary and/or partial differential equations. All the material has been classroom-tested over the course of many years, with the result that any self-learner with an understanding of basic single-variable calculus can master this topic. Systematic use is made of MATLAB's superb graphical capabilities to display and analyze results. An extensive chapter on the finite element method covers enough practical aspects (including mesh generation) to enable the reader to numerically solve general elliptic boundary value problems. With its thorough coverage of analytic concepts, geometric concepts, programs and algorithms, and applications, this is an unsurpassed pedagogical tool.
813 pages, Hardcover
First published December 31, 2004
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November 21, 2020
"Introduction to Ordinary and Partial Differential Equations Using MATLAB" is a great resource. The book is in three sections; MATLAB, ODEs, and PDEs. The book focuses on using MATLAB as a tool to aid in understanding. There is much to like about this book. Alexander Stanoyevitch does a fine job of explaining his terms and processes.
The book is far from perfect, and that is due to its age. The publishing date is 2005, and with a program that is still current, that is a considerable detriment. On the other hand, the book contains theory along with the coverage of MATLAB. I have no preconceived notions of MATLAB because I have never used it before. It has several valuable insights when it comes to programming.
Finally, the book contains an extensive bibliography. The author refers to other books when he does not include proofs.
The book is far from perfect, and that is due to its age. The publishing date is 2005, and with a program that is still current, that is a considerable detriment. On the other hand, the book contains theory along with the coverage of MATLAB. I have no preconceived notions of MATLAB because I have never used it before. It has several valuable insights when it comes to programming.
Finally, the book contains an extensive bibliography. The author refers to other books when he does not include proofs.
Displaying 1 - 1 of 1 review