Computational Partial Differential Equations Using Matlab

In this popular text for an Numerical Analysis course, the authors introduce several major methods of solving various partial differential equations (PDEs). The text uniquely emphasizes both theoretical numerical analysis and practical implementation of the algorithms in MATLAB, useful for students in computational science and engineering.

List of contents

Brief Overview of Partial Differential Equations
Finite Difference Methods for Parabolic Equations
Finite Difference Methods for Hyperbolic Equations
Finite Difference Methods for Elliptic Equations
Higher Order Compact Difference Methods
Finite Element Methods: Basic Theory
Finite Element Methods: Programming
Mixed Finite Element Methods
Finite Element Methods for Electromagnetics
Meshless Methods with Radial Basis Functions
Other Meshless Methods

About the author

Jichun Li ia a professor of mathematics at the University of Nevada, Las Vegas. He earned a Ph.D in Applied Mathematics from Florida State University and in addition to authoring several journal papers and three other books, he is a founding editor-in-chief of Results in Applied Mathematics. His major research areas are on numerical methods for partial differential equations.
Yi-Tung Chen is the co-director for the Center for Energy Research at the University of Nevada, Las Vegas. He has a Ph.D. from the University of Utah and is an aerial systems expert in computational fluid dynamics, fluid-structure interaction and aerodynamics.

Summary

In this popular text for an Numerical Analysis course, the authors introduce several major methods of solving various partial differential equations (PDEs). The text uniquely emphasizes both theoretical numerical analysis and practical implementation of the algorithms in MATLAB, useful for students in computational science and engineering.

Product details

• Authors: Yi-Tung Chen, Chen Yi-Tung, Jichun Li, Jichun (University of Nevada-Las Vegas) Chen Li, Jichun Chen Li, Li Jichun
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 11.10.2019
• EAN: 9780367217747
• ISBN: 978-0-367-21774-7
• No. of pages: 422
• Series: Textbooks in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics; Software Engineering, COMPUTERS / General, MATHEMATICS / General, MATHEMATICS / Applied, MATHEMATICS / Number Systems, SCIENCE / Mechanics / General, MATHEMATICS / Differential Equations / General, COMPUTERS / Computer Engineering, Numerical analysis, Differential calculus & equations, Mathematical theory of computation, Applied mathematics, Differential calculus and equations, indian Isbn