Introduction To Partial Differential Equations (With Maple), An: A Concise Course

Zhilin Li, Larry Norris (Autoren)

Buch | Hardcover

220 Seiten

2021
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-12-2862-9 (ISBN)

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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.

Introduction; First Order Partial Differential Equations; Solution to One Dimensional Wave Equations; Orthogonal Functions & Expansions, and Sturm-Liouville Theory; Method of Separation Variables for Solving PDE BVPs in Cartesian Coordinates; Various Fourier Series, Properties and Convergence; Series Solutions of PDEs; Fourier and Laplace Transforms; Numerical Solution Techniques; Appendices:ODE Review and Other Useful Information; Introduction to Maple;

Erscheinungsdatum	28.10.2021
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	981-12-2862-0 / 9811228620
ISBN-13	978-981-12-2862-9 / 9789811228629
Zustand	Neuware