Igor Chudinovich Christian Constanda I. Chudinovich
Variational and boundary integral equation techniques are two of the most useful methods for solving time-dependent problems described by systems of equations of the form 2 ? u = Au, 2 't 2 where u = u(x, t) is a vector-valued function, x is a point in a domain inR or 3 R, and A is a linear elliptic di?erential operator. To facilitate a better und- standing of these two types of methods, below we propose to illustrate their mechanisms in action on a speci?c mathematical model rather than in a more impersonal abstract setting. For this purpose, we have chosen the hyperbolic system of partial...
Variational and boundary integral equation techniques are two of the most useful methods for solving time-dependent problems described by systems of e...
TheinternationalconferencesonIntegralMethodsinScienceandEngineering (IMSE) are biennial opportunities for academics and other researchers whose work makes essential use of analytic or numerical integration methods to discuss their latest results and exchange views on the development of novel techniques of this type. The ?rst two conferences in the series, IMSE1985 and IMSE1990, were hosted by the University of Texas-Arlington. At the latter, the IMSE c- sortium was created and charged with organizing these conferences under the guidance of an International Steering Committee. Subsequently,...
TheinternationalconferencesonIntegralMethodsinScienceandEngineering (IMSE) are biennial opportunities for academics and other researchers whose work m...
TheinternationalconferencesonIntegralMethodsinScienceandEngineering (IMSE) are biennial opportunities for academics and other researchers whose work makes essential use of analytic or numerical integration methods to discuss their latest results and exchange views on the development of novel techniques of this type. The ?rst two conferences in the series, IMSE1985 and IMSE1990, were hosted by the University of Texas-Arlington. At the latter, the IMSE c- sortium was created and charged with organizing these conferences under the guidance of an International Steering Committee. Subsequently,...
TheinternationalconferencesonIntegralMethodsinScienceandEngineering (IMSE) are biennial opportunities for academics and other researchers whose work m...
An enormous array of problems encountered by scientists and engineers are based on the design of mathematical models using many different types of ordinary differential, partial differential, integral, and integro-differential equations. Accordingly, the solutions of these equations are of great interest to practitioners and to science in general. Presenting a wealth of cutting-edge research by a diverse group of experts in the field, Integral Methods in Science and Engineering: Computational and Analytic Aspects gives a vivid picture of both the development of theoretical integral...
An enormous array of problems encountered by scientists and engineers are based on the design of mathematical models using many different types of ...
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...
Many problems in mathematical physics rely heavily on the use of elliptical partial differential equations, and boundary integral methods play a si...
Advances in science and technology are driven by the development of rigorous mathematical foundations for the study of both theoretical and experimental models. With certain methodological variations, this type of study always comes down to the application of analytic or computational integration procedures, making such tools indispensible. With a wealth of cutting-edge research in the field, Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques provides a detailed portrait of both the construction of theoretical integral techniques and their application...
Advances in science and technology are driven by the development of rigorous mathematical foundations for the study of both theoretical and experiment...
Mathematical models of deformation of elastic plates are used by applied mathematicians and engineers in connection with a wide range of practical applications, from microchip production to the construction of skyscrapers and aircraft. This book employs two important analytic techniques to solve the fundamental boundary value problems for the theory of plates with transverse shear deformation, which offers a more complete picture of the physical process of bending than Kirchhoff's classical one.
The first method transfers the ellipticity of the governing system to the boundary,...
Mathematical models of deformation of elastic plates are used by applied mathematicians and engineers in connection with a wide range of practical ...
This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques and their application to specific problems in science and engineering. Written by internationally recognized researchers, the chapters in this book are based on talks given at the Thirteenth International Conference on Integral Methods in Science and Engineering, held July 21 25, 2014, in Karlsruhe, Germany.A broad range of topics is addressed, from problems of existence and uniqueness for singular integral equations on domain boundaries to...
This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques a...
This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques and their application to specific problems in science and engineering. Written by internationally recognized researchers, the chapters in this book are based on talks given at the Thirteenth International Conference on Integral Methods in Science and Engineering, held July 21 25, 2014, in Karlsruhe, Germany.A broad range of topics is addressed, from problems of existence and uniqueness for singular integral equations on domain boundaries to...
This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques a...
This book presents and explains a general, efficient, and elegant method for solving the Dirichlet, Neumann, and Robin boundary value problems for the extensional deformation of a thin plate on an elastic foundation.
This book presents and explains a general, efficient, and elegant method for solving the Dirichlet, Neumann, and Robin boundary value problems for the...
