Integral methods are among the most powerful techniques for investigating real-life phenomena translated into mathematical models. This book contains a number of contributions to the development and application of such techniques in the context of linear and nonlinear problems in elasticity, fluid dynamics and mathematical physics. The procedures featured in the volume include vortex methods, analytic and numerical methods, hybrid numerical schemes, integral equation approaches, and conservation laws. The articles were presented by their authors at the Third International Conference on Integral Methods in Science and Engineering, IMSE-93, 27-29 August 1993, at Tohoku University, Sendai, Japan.

Integral Methods in Science and Engineering (Chapman & Hall/CRC Research Notes in Mathematics Series)

Science & Math

Constanda, Christian

Mathematics

Chapman and Hall/CRC

These conference proceedings are concerned with the solution of mathematical models from various physical domains, by means of integral methods in conjunction with various approximation schemes.

Saranen, Jukka

Seikkala, S

Chemistry

These conference proceedings are concerned with the solution of mathematical models from various physical domains, by means of integral methods in conjunction with various approximation schemes.

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)

Hsiao, George C.

Bach, M

Sandig, A M

Werner, P

Many problems in mathematical physics rely heavily on the use of elliptical partial differential equations, and boundary integral methods play a significant role in solving these equations. Stationary Oscillations of Elastic Platesstudies the latter in the context of stationary vibrations of thin elastic plates. The techniques presented here reduce the complexity of classical elasticity to a system of two independent variables, modeling problems of flexural-vibrational elastic body deformation with the aid of eigenfrequencies and simplifying them to manageable, uniquely solvable integral equations. 
The book is intended for an audience with a knowledge of advanced calculus and some familiarity with functional analysis. It is a valuable resource for professionals in pure and applied mathematics, and for theoretical physicists and mechanical engineers whose work involves elastic plates. Graduate students in these fields can also benefit from the monograph as a supplementary text for courses relating to theories of elasticity or flexural vibrations.

Stationary Oscillations of Elastic Plates: A Boundary Integral Equation Analysis

Thomson, Gavin R.

Birkhauser

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.

Direct and Indirect Boundary Integral Equation Methods (Monographs and Surveys in Pure and Applied Mathematics)

Solution Techniques for Elementary Partial Differential Equations

"In my opinion, this is quite simply the best book of its kind that I have seen thus far." 
―Professor Peter Schiavone, University of Alberta, from the Foreword to the Fourth Edition 
Praise for the previous editions 
An ideal tool for students taking a first course in PDEs, as well as for the lecturers who teach such courses." 
―Marian Aron, Plymouth University, UK 
"This is one of the best books on elementary PDEs this reviewer has read so far. Highly recommended." 
―CHOICE 
Solution Techniques for Elementary Partial Differential Equations, Fourth Edition remains a top choice for a standard, undergraduate-level course on partial differential equations (PDEs). It provides a streamlined, direct approach to developing students’ competence in solving PDEs, and offers concise, easily understood explanations and worked examples that enable students to see the techniques in action. 
New to the Fourth Edition 
Two additional sections A larger number and variety of worked examples and exercises A companion pdf file containing more detailed worked examples to supplement those in the book, which can be used in the classroom and as an aid to online teaching

"In my opinion, this is quite simply the best book of its kind that I have seen thus far." -Professor Peter Schiavone, University of Alberta, from the Foreword to the Fourth Edition Praise for the previous editions An ideal tool for students taking a first course in PDEs, as well as for the lecturers who teach such courses." -Marian Aron, Plymouth University, UK "This is one of the best books on elementary PDEs this reviewer has read so far. Highly recommended." -CHOICE Solution Techniques for Elementary Partial Differential Equations, Fourth Edition remains a top choice for a standard, undergraduate-level course on partial differential equations (PDEs). It provides a streamlined, direct approach to developing students' competence in solving PDEs, and offers concise, easily understood explanations and worked examples that enable students to see the techniques in action. New to the Fourth Edition <ul> <li>Two additional sections</li> <li>A larger number and variety of worked examples and exercises</li> <li>A companion pdf file containing more detailed worked examples to supplement those in the book, which can be used in the classroom and as an aid to online teaching</li> </ul>

Solution Techniques for Elementary Partial Differential Equations, Third Edition remains a top choice for a standard, undergraduate-level course on partial differential equations (PDEs). Making the text even more user-friendly, this third edition covers important and widely used methods for solving PDEs. New to the Third Edition New sections on the series expansion of more general functions, other problems of general second-order linear equations, vibrating string with other types of boundary conditions, and equilibrium temperature in an infinite strip Reorganized sections that make it easier for students and professors to navigate the contents Rearranged exercises that are now at the end of each section/subsection instead of at the end of the chapter New and improved exercises and worked examples A brief Mathematica program for nearly all of the worked examples, showing students how to verify results by computer This bestselling, highly praised textbook uses a streamlined, direct approach to develop students� competence in solving PDEs. It offers concise, easily understood explanations and worked examples that allow students to see the techniques in action.

Incorporating a number of enhancements, Solution Techniques for Elementary Partial Differential Equations, Second Edition presents some of the most important and widely used methods for solving partial differential equations (PDEs). The techniques covered include separation of variables, method of characteristics, eigenfunction expansion, Fourier and Laplace transformations, Green’s functions, perturbation methods, and asymptotic analysis. New to the Second Edition <ul>
<li>New sections on Cauchy–Euler equations, Bessel functions, Legendre polynomials, and spherical harmonics</li> <li>A new chapter on complex variable methods and systems of PDEs</li> <li>Additional mathematical models based on PDEs</li> <li>Examples that show how the methods of separation of variables and eigenfunction expansion work for equations other than heat, wave, and Laplace</li> <li>Supplementary applications of Fourier transformations</li> <li>The application of the method of characteristics to more general hyperbolic equations</li> <li>Expanded tables of Fourier and Laplace transforms in the appendix</li> <li>Many more examples and nearly four times as many exercises </li> </ul> This edition continues to provide a streamlined, direct approach to developing students’ competence in solving PDEs. It offers concise, easily understood explanations and worked examples that enable students to see the techniques in action. Available for qualifying instructors, the accompanying solutions manual includes full solutions to the exercises. Instructors can obtain a set of template questions for test/exam papers as well as computer-linked projector files directly from the author.

Solution Techniques for Elementary Partial Differential Equations, Second Edition

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Books by Constanda, Christian

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

Integral Methods in Science and Engineering (Chapman & Hall/CRC Research Notes in Mathematics Series)

Integral Methods in Science and Engineering (Chapman & Hall/CRC Research Notes in Mathematics Series)

Integral Methods in Science and Engineering (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)

Stationary Oscillations of Elastic Plates: A Boundary Integral Equation Analysis

Direct and Indirect Boundary Integral Equation Methods (Monographs and Surveys in Pure and Applied Mathematics)

Solution Techniques for Elementary Partial Differential Equations

Solution Techniques for Elementary Partial Differential Equations

Solution Techniques for Elementary Partial Differential Equations

Solution Techniques for Elementary Partial Differential Equations, Second Edition