Integral Methods in Science and Engineering / Edition 1by P. Schiavone
Pub. Date: 10/26/2007
Publisher: Birkhauser Verlag
This book is an outgrowth of the sixth international conference on integral methods in science and engineering. The chapters focus on the solution of mathematical models from various physical domains, using integral methods in conjunction with approximation schemes. Integral Methods in Science and Engineering describes the construction and application of various analytic and numerical integration techniques. Problem solving in areas such as solid mechanics, fluid dynamics, thermoelasticity, plates and shells, liquid crystals, diffusion and diffraction theory, Hamiltonian systems, resonance, nonlinear waves, plasma, flight dynamics, and structural networks are presented in an accessible manner. The book offers a vehicle for the quick dissemination of new results in these domains, and will help create an ideal environment for investigative interdisciplinary study among a variety of research areas.
Offers an illustration by prominent researchers of efficient methods of solution with numerical results and rigorous analytic methods.
Presents applications of integral methods to a wide variety of mathematical and physical problems.
Provides new results in the study of various physical and mechanical models.
A clear, concise focus on a class of methodologies rather than a specific field of study. This book is a practical resource for a broad audience of professionals, researchers, and practitioners in applied mathematics, mechanical engineering, and theoretical physics, who are interested in current research in ordinary and partial differential equations, integral equations, numerical analysis, mechanics of solids, fluid mechanics, and mathematical physics.Graduate students will find this a helpful guide to the wide range of applications that integral methods have in science and engineering.
- Birkhauser Verlag
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Table of Contents1. Use of elastodynamic reciprocity theorems for field calculations
2. Linear solvers for the Galerkin boundary element method
3. Reciprocity of Hopf's and Feautrier's operators in radiation transport theory
4. Spectral approximation of weakly singular integrable kernels using projections
5. Effect of imperfect interface on thermal inclusion with an interior radial crack
6. An integro-differential equation of automatic diffusion
7. Non-radiating dislocations in uniform supersonic motion in anisotropic linear elastic solids
8. On the use of the conjugate gradient method for the numerical solution of first kind
integral equations in two variables
9. On the stopping criteria for conjugate gradient solutions of first kind integral equations in two variables
10. An initial-boundary value problem for elastic plates
11. A global existence result for functional differential equations with casual operators
12. Direct stiffness-modification route to linear consistency between incompatible finite element meshes
13. Nonlinear dynamic analysis of a curved beam structure using a finite element method
14. Seminal ideas in integral methods
15. Mixed boundary value problem with two displacement boundaries for thin plate bending
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