Published February 1975
by Academic Press Inc.,U.S. .
Written in English
|The Physical Object|
|Number of Pages||420|
Mathematical Aspects of Finite Elements in Partial Differential Equations Paperback – January 1, by Carl de Boor (Editor)Format: Paperback. This book is going to my shelf, perhaps I will re-open it in 10 years and be able to read more than 3 pages, as of now, I have 4 other books which cover partial differential equations and the finite element method which I'll use to pass the course, some of the books are also complex but very by: Get this from a library! Mathematical aspects of finite elements in partial differential equations: proceedings of a symposium, conducted by the Mathematics Research Center, the Univ. of Wisconsin, Madison, April , [Carl De Boor; Symposium on Mathematical Aspects of Finite Elements in Partial Differential Equations..;]. Symposium on Mathematical Aspects of Finite Elements in Partial Differential Equations ( University of Wisconsin--Madison). Mathematical aspects of finite elements in partial differential equations. New York: Academic Press, (OCoLC) Material Type: Conference publication, Internet resource: Document Type: Book, Internet.
Mathematical aspects of finite elements in partial differential equations: proceedings of a symposium conducted by the Mathematics Research Center, the University of Wisconsin--Madison, April , The essence of this book is the application of the finite element method to the solution of boundary and initial-value problems posed in terms of partial differential equations. The method is developed for the solution of Poisson's equation, in a weighted-residual context, and then proceeds to time-dependent and nonlinear problems. This chapter defines finite element and finite difference methods for hyperbolic partial differential equations. The advantage of the finite element method is that the resulting procedures are automatically stable and there is extreme flexibility in choosing the basic by: Finite element methods represent a powerful and general class of techniques for the approximate solution of partial diﬀerential equations; the aim of this course is to provide an introduction to their mathematical theory, with special emphasis on theoretical questions such .
The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. This book introduces the basic ideas to build discontinuous Galerkin methods and, at the same time, incorporates several recent mathematical developments. The presentation is to a large extent self-contained and is intended for graduate students and researchers in numerical analysis. The material. The aim of this tutorial is to give an introductory overview of the finite element method (FEM) as it is implemented in NDSolve. The notebook introduces finite element method concepts for solving partial differential equations (PDEs). First, typical workflows are discussed. The setup of regions, boundary conditions and equations is followed by the solution of the PDE with NDSolve. Numerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of computer architecture and algorithms for real-number calculations.5/5(1).