Introduction To Partial Differential Equations (With Maple), An: A Concise Course
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A01=Larry Norris
A01=Zhilin Li
Author_Larry Norris
Author_Zhilin Li
Category=PBKJ
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fourier Series and Expansions and Analysis
Heat
Initial and Boundary Value Problems
Laplace Equations
Maple and Numerical Techniques for ODE/PDEs
Maple and Numerical Techniques for ODEPDEs
Orthogonal Sets
Partial Differential Equations: Advection
Separation of Variables
Sturm-Liouville Theory
Undergraduate Texts
Wave
Product details
- ISBN 9789811228629
- Publication Date: 15 Oct 2021
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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The book is designed for undergraduate or beginning level graduate students, and students from interdisciplinary areas including engineers, and others who need to use partial differential equations, Fourier series, Fourier and Laplace transforms. The prerequisite is a basic knowledge of calculus, linear algebra, and ordinary differential equations.The textbook aims to be practical, elementary, and reasonably rigorous; the book is concise in that it describes fundamental solution techniques for first order, second order, linear partial differential equations for general solutions, fundamental solutions, solution to Cauchy (initial value) problems, and boundary value problems for different PDEs in one and two dimensions, and different coordinates systems. Analytic solutions to boundary value problems are based on Sturm-Liouville eigenvalue problems and series solutions.The book is accompanied with enough well tested Maple files and some Matlab codes that are available online. The use of Maple makes the complicated series solution simple, interactive, and visible. These features distinguish the book from other textbooks available in the related area.
Zhilin Li is a tenured full professor at the Center for Scientific Computation and the Department of Mathematics, North Carolina State University. His research area is in applied mathematics in general, particularly in numerical analysis for partial differential equations, moving interface/free boundary problems, irregular domain problems, computational fluid mechanics and mathematical biology, and scientific computing and simulations for interdisciplinary applications. Li has authored one monograph: "The Immersed Interface Method", two textbooks, hundreds scientific papers, and also edited several books and proceedings.
Larry Norris is an emeritus professor at the Department of Mathematics, North Carolina State University. His research area includes mathematical physics; general relativity, gauge theories, unified field theories; generalized symplectic geometry. He has published a number of textbooks.
