Direct and Indirect Boundary Integral Equation Methods: 107 (Monographs and Surveys in Pure and Applied Mathematics) - Image 1

Price loading...

Chapman and Hall/CRC Direct and Indirect Boundary Integral Equation Methods: 107 (Monographs and Surveys in Pure and Applied Mathematics)

Name: Direct and Indirect Boundary Integral Equation Methods: 107 (Monographs and Surveys in Pure and Applied Mathematics)
Brand: Chapman and Hall/CRC

Medical & Healthcare Practitioners

Price History & Forecast

No Price Data Available

Price history will appear here once data is collected from Amazon.

Price Distribution

No price data available for histogram

Description

The computational power currently available means that practitioners can find extremely accurate approximations to the solutions of more and more sophisticated mathematical models-providing they know the right analytical techniques. In relatively simple terms, this book describes a class of techniques that fulfill this need by providing closed-form solutions to many boundary value problems that arise in science and engineering. Boundary integral equation methods (BIEM's) have certain advantages over other procedures for solving such problems: BIEM's are powerful, applicable to a wide variety of situations, elegant, and ideal for numerical treatment. Certain fundamental constructs in BIEM's are also essential ingredients in boundary element methods, often used by scientists and engineers. However, BIEM's are also sometimes more difficult to use in plane cases than in their three-dimensional counterparts. Consequently, the full, detailed BIEM treatment of two-dimensional problems has been largely neglected in the literature-even when it is more than marginally different from that applied to the corresponding three-dimensional versions. This volume discusses three typical cases where such differences are clear: the Laplace equation (one unknown function), plane strain (two unknown functions), and the bending of plates with transverse shear deformation (three unknown functions). The author considers each of these with Dirichlet, Neumann, and Robin boundary conditions. He subjects each to a thorough investigation-with respect to the existence and uniqueness of regular solutions-through several BIEM's. He proposes suitable generalizations of the concept of logarithmic capacity for plane strain and bending of plates, then uses these to identify contours where non-uniqueness may occur. In the final section, the author compares and contrasts the various solution representations, links them by means of boundary operators, and evaluates them for their suitability for numeric computation.

Product Specifications

Brand: Chapman and Hall/CRC
Format: hardcover
ASIN: 0849306396
Category: Books > Subjects > Health, Family & Lifestyle > Medical & Healthcare Practitioners
Domain: Amazon UK
Release Date: 28 September 1999
Listed Since: 05 February 2007

Barcode

No barcode data available

Chapman and Hall/CRC Direct and Indirect Boundary Integral Equation Methods: 107 (Monographs and Surveys in Pure and Applied Mathematics)

Price History & Forecast

No Price Data Available

Price Distribution

Description

Product Specifications

Barcode

Similar Products You Might Like

The Fast Solution of Boundary Integral Equations (Mathematical and Analytical Techniques with Applications to Engineering)

Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions: Theory and Applications: 108 (Monographs and Surveys in Pure and Applied Mathematics)

Boundary Element Methods: 39 (Springer Series in Computational Mathematics, 39)

The Boundary Element Method: 27 (Solid Mechanics and Its Applications, 27)

The Boundary Element Method: 27 (Solid Mechanics and Its Applications, 27)

Differential Equations: Inverse and Direct Problems: 251 (Lecture Notes in Pure and Applied Mathematics)

Mixed Boundary Value Problems (Chapman & Hall/CRC Applied Mathematics and Nonlinear Science)

Applications of Vector Analysis and Complex Variables in Engineering

Mathematical Methods in Physics and Engineering with Mathematica: 1 (Chapman & Hall/CRC Applied Mathematics & Nonlinear Science)

Direct Methods in the Theory of Elliptic Equations (Springer Monographs in Mathematics)

Integral Methods in Science and Engineering: Theoretical and Practical Aspects

Differential Equations: Theory,Technique and Practice with Boundary Value Problems (Textbooks in Mathematics)

BEM-based Finite Element Approaches on Polytopal Meshes: 130 (Lecture Notes in Computational Science and Engineering, 130)

Partial Differential Equations and the Finite Element Method (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

The Boundary Element Method - Applications in Thermo-Fluids & Acoustics Vol. 1

Advanced Mathematical Methods in Science and Engineering

Advances in Dual Integral Equations: 400 (Chapman & Hall/CRC Research Notes in Mathematics Series)

Direct Methods in the Theory of Elliptic Equations (Springer Monographs in Mathematics)

Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods

Chapman and Hall/CRC - Inverse Boundary Spectral Problems Book

The Boundary Element Method, Volume 2: Applications in Solids and Structures: 002

Fourier BEM: Generalization of Boundary Element Methods by Fourier Transform: 5 (Lecture Notes in Applied and Computational Mechanics, 5)

Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation: 37 (Interdisciplinary Applied Mathematics, 37)

Nonlinear Problems in Mathematical Physics and Related Topics II: In Honor of Professor O.A. Ladyzhenskaya: 2 (International Mathematical Series, 2)