This book is the first to offer a general discussion on the cupling methods for nonliner problems, and provides all material necessary for an introductory course on the subject. Readers are assumed to have only a basic knowledge of applied functional analysis and partial differential equations at graduate level. This book can be used as an advanced graduate text as well as a reference for specialists working in the areas of partial differential equations, boundary integral equations and scientific computing. This book will be of particular interest to students and researchers in applied mathematics, numerical analysis and partial differential equations.

Boundary-field Equation Methods For a Class of Nonlinear Problems (Chapman & Hall/CRC Research Notes in Mathematics Series)

Science & Math

Hsiao, George C.

Gatica, Gabriel N

Mathematics

Chapman and Hall/CRC

Differential and integral equations are the most widely-used tools in the modelling of real-life processes and phenomena. This volume contains a number of papers on some recent important analytic and numerical developments in these fields, with direct application to linear and non-linear problems in continuum mechanics and mathematical physics.

Analysis, Numerics and Applications of Differential and Integral Equations (Chapman & Hall/CRC Research Notes in Mathematics Series)

Constanda, Christian

Bach, M

Sandig, A M

Werner, P

This book illustrates how MAPLE™ can be used to supplement a standard, elementary text in ordinary and partial differential equation. The authors are firm believers in the teaching of mathematics as an experimental science where the student does numerous calculations and then synthesizes these experiments into a general theory. The goal of the book is to teach the students enough about the computer algebra system MAPLE™ so that it can be used in an investigative way. This book was developed through ten years of instruction in the differential equations course.

Differential Equations (Textbooks in Mathematics)

Gilbert, Robert P.

Ronkese, Robert J.

"This book illustrates how MAPLE can be used to supplement a standard, elementary text in ordinary and partial differential equation. MAPLE is used with several purposes in mind. The authors are firm believers in the teaching of mathematics as an experimental science where the student does numerous calculations and then synthesizes these experiments into a general theory. Projects based on the concept of writing generic programs test a student's understanding of the theoretical material of the course. A student who can solve a general problem certainly can solve a specialized problem. The authors show MAPLE has a built-in program for doing these problems. While it is important for the student to learn MAPLES in built programs, using these alone removes the student from the conceptual nature of differential equations. The goal of the book is to teach the students enough about the computer algebra system MAPLE so that it can be used in an investigative way. The investigative materials which are present in the book are done in desk calculator mode DCM, that is the calculations are in the order command line followed by output line. Frequently, this approach eventually leads to a program or procedure in MAPLE designated by proc and completed by end proc. This book was developed through ten years of instruction in the differential equations course"--

Differential Equations: A Maple™ Supplement (Textbooks in Mathematics)

This is the second edition of the book which has two additional new chapters on Maxwell's equations as well as a section on properties of solution spaces of Maxwell's equations and their trace spaces. These two new chapters, which summarize the most up-to-date results in the literature for the Maxwell's equations, are sufficient enough to serve as a self-contained introductory book on the modern mathematical theory of boundary integral equations in electromagnetics. The book now contains 12 chapters and is divided into two parts. The first six chapters present modern mathematical theory of boundary integral equations that arise in fundamental problems in continuum mechanics and electromagnetics based on the approach of variational formulations of the equations. The second six chapters present an introduction to basic classical theory of the pseudo-differential operators. The aforementioned corresponding boundary integral operators can now be recast as pseudo-differential operators. These serve as concrete examples that illustrate the basic ideas of how one may apply the theory of pseudo-differential operators and their calculus to obtain additional properties for the corresponding boundary integral operators. These two different approaches are complementary to each other. Both serve as the mathematical foundation of the boundary element methods, which have become extremely popular and efficient computational tools for boundary problems in applications. This book contains a wide spectrum of boundary integral equations arising in fundamental problems in continuum mechanics and electromagnetics. The book is a major scholarly contribution to the modern approaches of boundary integral equations, and should be accessible and useful to a large community of advanced graduate students and researchers in mathematics, physics, and engineering. <div> </div>

Boundary Integral Equations (Applied Mathematical Sciences, 164)

Wendland, Wolfgang L.

Springer

This book is devoted to the mathematical foundation of boundary integral equations. The combination of ?nite element analysis on the boundary with these equations has led to very e?cient computational tools, the boundary element methods (see e.g., the authors [139] and Schanz and Steinbach (eds.) [267]). Although we do not deal with the boundary element discretizations in this book, the material presented here gives the mathematical foundation of these methods. In order to avoid over generalization we have con?ned ourselves to the treatment of elliptic boundary value problems. The central idea of eliminating the ?eld equations in the domain and - ducing boundary value problems to equivalent equations only on the bou- ary requires the knowledge of corresponding fundamental solutions, and this idea has a long history dating back to the work of Green [107] and Gauss [95, 96]. Today the resulting boundary integral equations still serve as a major tool for the analysis and construction of solutions to boundary value problems.

See the best price to sell, buy, or rent books by Hsiao, George C.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Hsiao, George C.

See the best price to sell, buy, or rent books by Hsiao, George C.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Boundary-field Equation Methods For a Class of Nonlinear Problems (Chapman & Hall/CRC Research Notes in Mathematics Series)

Analysis, Numerics and Applications of Differential and Integral Equations (Chapman & Hall/CRC Research Notes in Mathematics Series)

Differential Equations (Textbooks in Mathematics)

Differential Equations: A Maple™ Supplement (Textbooks in Mathematics)

Boundary Integral Equations (Applied Mathematical Sciences, 164)

Boundary Integral Equations (Applied Mathematical Sciences, 164)

Boundary Integral Equations (Applied Mathematical Sciences, 164)