Of the many different approaches to solving partial differential equations numerically, this book studies difference methods. Written for the beginning graduate student in applied mathematics and engineering, this text offers a means of coming out of a course with a large number of methods that provide both theoretical knowledge and numerical experience. The reader will learn that numerical experimentation is a part of the subject of numerical solution of partial differential equations, and will be shown some uses and taught some techniques of numerical experimentation.
Prerequisites suggested for using this book in a course might include at least one semester of partial differential equations and some programming capability. The author stresses the use of technology throughout the text, allowing the student to utilize it as much as possible. The use of graphics for both illustration and analysis is emphasized, and algebraic manipulators are used when convenient. This is the second volume of a two-part book.
For a class of cases where Theorem 5.3 applies , with its somewhat unusual hypothesis on uog- , let N = { 0 , 1 ) , H = U ( 0,1 ) , let H be the distribution function of a random variable X having a strictly positive density on R and E ...
- H. Beirao da Veiga: On the incompressible limit of the compressible Navier-Stokes equations.- A. Bove: Propagation of singularities for hyperbolic operators with double characteristics.- G. Buttazzo: Relaxation problems in control theory.
本书是美国著名力学和数学家BarnaSzabó教授和IvoBabu?ka教授的经典之作。书中重点介绍了有限元模型的建立、验证与校核,尤其是详细介绍了p型有限元的基本理论,p型、h型以及hp型有 ...
"I think this new book has no real competitors.
The aim of this major revision is to create a contemporary text which incorporates the best features of calculus reform yet preserves the main structure of an established and well-tested...
Regularity of Minimal Surfaces begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boundary behaviour of minimal surfaces and H-surfaces with fixed...
This volume contains 18 invited papers by members and guests of the former Sonderforschungsbereich in Bonn (SFB 72) who, over the years, collaborated on the research group "Solution of PDE's...
Written primarily for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year. The main prerequisite is a working...
Written in problem-solving format, this book emphasizes the purpose of an advanced calculus course by offering a more thorough presentation of some topics to which engineering and physical science students...
An internationally famous expositor discusses such topics as differential equations, matrices, groups, sets, transformations, mathematical logic and other important areas of modern mathematics. His clear-cut explanations for both lay readers...