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Titlebook: Difference Matrices for ODE and PDE; A MATLAB® Companion John M. Neuberger Textbook 2023 Springer Nature Switzerland AG 2023 difference mat

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发表于 2025-3-21 18:42:22 | 显示全部楼层 |阅读模式
书目名称Difference Matrices for ODE and PDE
副标题A MATLAB® Companion
编辑John M. Neuberger
视频video
概述Develops the reader‘s scientific computing skills by sequentially coding the examples and exercises.Each exercise builds on previous codes and new code fragments.Method is applied to many classic ODE
图书封面Titlebook: Difference Matrices for ODE and PDE; A MATLAB® Companion John M. Neuberger Textbook 2023 Springer Nature Switzerland AG 2023 difference mat
描述.The use of difference matrices and high-level MATLAB® commands to implement finite difference algorithms is pedagogically novel. This unique and concise textbook gives the reader easy access and a general ability to use first and second difference matrices to set up and solve linear and nonlinear systems in MATLAB which approximate ordinary and partial differential equations. Prerequisites include a knowledge of basic calculus, linear algebra, and ordinary differential equations. Some knowledge of partial differential equations is a plus though the text may easily serve as a supplement for the student currently working through an introductory PDEs course.  Familiarity with MATLAB is not required though a little prior experience with programming would be helpful..In addition to its special focus on solving in MATLAB, the abundance of examples and exercises make this text versatile in use. It would serve well in a graduate course in introductory scientific computing for partial differential equations. With prerequisites mentioned above plus some elementary numerical analysis, most of the material can be covered and many of the exercises assigned in a single semester course. Some of
出版日期Textbook 2023
关键词difference matrices; finite differences; ODE; PDE; linear systems; nonlinear systems; boundary value probl
版次1
doihttps://doi.org/10.1007/978-3-031-12000-8
isbn_softcover978-3-031-11999-6
isbn_ebook978-3-031-12000-8
copyrightSpringer Nature Switzerland AG 2023
The information of publication is updating

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发表于 2025-3-21 20:46:19 | 显示全部楼层
J. Hill,H. C. Becker,P. M. A. Tigerstedtief tutorial on solving first-order PDE numerically via the method of characteristics. We conclude with an overview of the method of separation of variables as applied to obtaining theoretical solutions to the fundamental PDE covered in this chapter, with examples.
发表于 2025-3-22 03:53:39 | 显示全部楼层
发表于 2025-3-22 08:34:32 | 显示全部楼层
Textbook 2023ise textbook gives the reader easy access and a general ability to use first and second difference matrices to set up and solve linear and nonlinear systems in MATLAB which approximate ordinary and partial differential equations. Prerequisites include a knowledge of basic calculus, linear algebra, a
发表于 2025-3-22 10:47:45 | 显示全部楼层
J. Hill,H. C. Becker,P. M. A. Tigerstedt value problems, linear systems of first-order linear initial value problems, and first-order nonlinear initial value problems. The difference matrix approach is compared with more traditional ordinary differential equation solvers, e.g., Runge–Kutta and MATLAB’s built-in solver ..
发表于 2025-3-22 15:03:58 | 显示全部楼层
Ordinary Differential Equations, value problems, linear systems of first-order linear initial value problems, and first-order nonlinear initial value problems. The difference matrix approach is compared with more traditional ordinary differential equation solvers, e.g., Runge–Kutta and MATLAB’s built-in solver ..
发表于 2025-3-22 17:08:56 | 显示全部楼层
l differential equations. With prerequisites mentioned above plus some elementary numerical analysis, most of the material can be covered and many of the exercises assigned in a single semester course. Some of 978-3-031-11999-6978-3-031-12000-8
发表于 2025-3-23 01:14:50 | 显示全部楼层
Textbook 2023. It would serve well in a graduate course in introductory scientific computing for partial differential equations. With prerequisites mentioned above plus some elementary numerical analysis, most of the material can be covered and many of the exercises assigned in a single semester course. Some of
发表于 2025-3-23 02:03:02 | 显示全部楼层
J. König,T. Pohjola,H. Schoeller,G. Schöndiscussion of the various aspects of MATLAB which one needs in order to implement and execute the algorithms. This material attempts to address the many frequently asked questions concerning the nuts and bolts of getting a program to produce appropriate output. We introduce some concepts and techniq
发表于 2025-3-23 05:39:06 | 显示全部楼层
,Review of Elementary Numerical Methods and MATLAB®,discussion of the various aspects of MATLAB which one needs in order to implement and execute the algorithms. This material attempts to address the many frequently asked questions concerning the nuts and bolts of getting a program to produce appropriate output. We introduce some concepts and techniq
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