The aim of this book is to quickly elevate students to a proficiency level where they can solve linear and nonlinear partial differential equations using state-of-the-art numerical methods. It covers numerous topics typically absent in introductory texts on ODEs and PDEs, including:

Computing solutions to chaotic dynamical systems with TRBDF2
Simulating the nonlinear diffusion equation with TRBDF2
Applying Newton’s method and GMRES to the nonlinear Laplace equation
Analyzing gas dynamics with WENO3 (1D Riemann problems and 2D supersonic jets)
Modeling the drift-diffusion equations with TRBDF2 and PCG
Solving the classical hydrodynamic model (electro-gas dynamics) with WENO3 and TRBDF2

The book features 34 original MATLAB programs illustrating each numerical method and includes 93 problems that confirm results discussed in the text and explore new directions. Additionally, it suggests eight semester-long projects.

This comprehensive text can serve as the basis for a one-semester graduate course on the numerical solution of partial differential equations, or, with some advanced material omitted, for a one-semester junior/senior or graduate course on the numerical solution of ordinary and partial differential equations. The topics and programs will be of interest to applied mathematicians, engineers, physicists, biologists, chemists, and more.

About the Author

Carl Gardner is an Emeritus Professor of Mathematics at Arizona State University, where he taught and did research in Computational Mathematics for 30 years. Previously he held positions at Bowdoin College, NYU, and Duke University. Professor Gardner's research focuses on computational and theoretical fluid dynamics and the numerical solution of nonlinear partial differential equations. His primary application areas are charge transport in quantum semiconductor devices, ion transport in biological cells (modeling ionic channels as well as synapses), and supersonic flows in astrophysical jets (modeling interactions of jets with their environments and star formation). These problems are governed by coupled systems of nonlinear partial differential equations, and exhibit complex fluid dynamical phenomena involving nonlinear wave interactions.

"About this title" may belong to another edition of this title.

Store Description

I mainly carry imported books from South East Asia / South Asia for readers of all Age Groups.

Visit Seller's Storefront

Seller's business information

PLETOS INC
6931 51st Avenue, WOODSIDE, Woodside, NY, 11377, U.S.A.

Sale & Shipping Terms

Terms of Sale

We accept return for those books which are received damaged. Though we take appropriate care in packing to avoid such situation.

Shipping Terms

Shipping rates within U.S.A.

Shipping rates within U.S.A.
Order quantity	12 to 19 business days	12 to 14 business days
First item	US$ 3.99	US$ 6.99

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.