Ebook: Integral Methods in Science and Engineering, Volume 2: Computational Aspects

Mathematical models—including those based on ordinary, partial differential, integral, and integro-differential equations—are indispensable tools for studying the physical world and its natural manifestations. Because of the usefulness of these models, it is critical for practitioners to be able to find their solutions by analytic and/or computational means. This two-volume set is a collection of up-to-date research results that illustrate how a very important class of mathematical tools can be manipulated and applied to the study of real-life phenomena and processes occurring in specific problems of science and engineering.

The two volumes contain 65 chapters, which are based on talks presented by reputable researchers in the field at the Tenth International Conference on Integral Methods in Science and Engineering. The chapters address a wide variety of methodologies, from the construction of boundary integral methods to the application of integration-based analytic and computational techniques in almost all aspects of today's technological world. Among the topics covered are deformable structures, traffic flow, acoustic wave propagation, spectral procedures, eutrophication of bodies of water, pollutant dispersion, spinal cord movement, submarine avalanches, and many others with an interdisciplinary flavor.

Integral Methods in Science and Engineering, Volumes 1 and 2 are useful references for a broad audience of professionals, including pure and applied mathematicians, physicists, biologists, and mechanical, civil, and electrical engineers, as well as graduate students, who use integration as a fundamental technique in their research.

Volume 1: ISBN 978-0-8176-4898-5

Volume 2: ISBN 978-0-8176-4896-1

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Mathematical models—including those based on ordinary, partial differential, integral, and integro-differential equations—are indispensable tools for studying the physical world and its natural manifestations. Because of the usefulness of these models, it is critical for practitioners to be able to find their solutions by analytic and/or computational means. This two-volume set is a collection of up-to-date research results that illustrate how a very important class of mathematical tools can be manipulated and applied to the study of real-life phenomena and processes occurring in specific problems of science and engineering.

The two volumes contain 65 chapters, which are based on talks presented by reputable researchers in the field at the Tenth International Conference on Integral Methods in Science and Engineering. The chapters address a wide variety of methodologies, from the construction of boundary integral methods to the application of integration-based analytic and computational techniques in almost all aspects of today's technological world. Among the topics covered are deformable structures, traffic flow, acoustic wave propagation, spectral procedures, eutrophication of bodies of water, pollutant dispersion, spinal cord movement, submarine avalanches, and many others with an interdisciplinary flavor.

Integral Methods in Science and Engineering, Volumes 1 and 2 are useful references for a broad audience of professionals, including pure and applied mathematicians, physicists, biologists, and mechanical, civil, and electrical engineers, as well as graduate students, who use integration as a fundamental technique in their research.

Volume 1: ISBN 978-0-8176-4898-5

Volume 2: ISBN 978-0-8176-4896-1

---

Mathematical models—including those based on ordinary, partial differential, integral, and integro-differential equations—are indispensable tools for studying the physical world and its natural manifestations. Because of the usefulness of these models, it is critical for practitioners to be able to find their solutions by analytic and/or computational means. This two-volume set is a collection of up-to-date research results that illustrate how a very important class of mathematical tools can be manipulated and applied to the study of real-life phenomena and processes occurring in specific problems of science and engineering.

The two volumes contain 65 chapters, which are based on talks presented by reputable researchers in the field at the Tenth International Conference on Integral Methods in Science and Engineering. The chapters address a wide variety of methodologies, from the construction of boundary integral methods to the application of integration-based analytic and computational techniques in almost all aspects of today's technological world. Among the topics covered are deformable structures, traffic flow, acoustic wave propagation, spectral procedures, eutrophication of bodies of water, pollutant dispersion, spinal cord movement, submarine avalanches, and many others with an interdisciplinary flavor.

Integral Methods in Science and Engineering, Volumes 1 and 2 are useful references for a broad audience of professionals, including pure and applied mathematicians, physicists, biologists, and mechanical, civil, and electrical engineers, as well as graduate students, who use integration as a fundamental technique in their research.

Volume 1: ISBN 978-0-8176-4898-5

Volume 2: ISBN 978-0-8176-4896-1

Content:
Front Matter....Pages i-xix
Construction of Solutions of the Hamburger–L?wner Mixed Interpolation Problem for Nevanlinna Class Functions....Pages 1-10
A Three-Dimensional Eutrophication Model: Analysis and Control....Pages 11-20
An Analytical Solution for the Transient Two-Dimensional Advection–Diffusion Equation with Non-Fickian Closure in Cartesian Geometry by the Generalized Integral Transform Technique....Pages 21-31
A Numerical Solution of the Dispersion Equation of Guided Wave Propagation in N-Layered Media....Pages 33-40
Discretization of Coefficient Control Problems with a Nonlinear Cost in the Gradient....Pages 41-53
Optimal Control and Vanishing Viscosity for the Burgers Equation....Pages 55-63
A High-Order Finite Volume Method for Nonconservative Problems and Its Application to Model Submarine Avalanches....Pages 65-90
Convolution Quadrature Galerkin Method for the Exterior Neumann Problem of the Wave Equation....Pages 91-101
Solution Estimates in Classical Bending of Plates....Pages 103-112
Modified Newton’s Methods for Systems of Nonlinear Equations....Pages 113-120
Classification of Some Penalty Methods....Pages 121-130
A Closed-Form Formulation for Pollutant Dispersion in the Atmosphere....Pages 131-140
High-Order Methods for Weakly Singular Volterra Integro-Differential Equations....Pages 141-150
Numerical Solution of a Class of Integral Equations Arising in a Biological Laboratory Procedure....Pages 151-160
A Mixed Two-Grid Method Applied to a Fredholm Equation of the Second Kind....Pages 161-171
Homogenized Models of Radiation Transfer in Multiphase Media....Pages 173-181
A Porous Finite Element Model of the Motion of the Spinal Cord....Pages 183-192
Boundary Hybrid Galerkin Method for Elliptic and Wave Propagation Problems in ?3 over Planar Structures....Pages 193-201
Boundary Integral Solution of the Time-Fractional Diffusion Equation....Pages 203-212
Boundary Element Collocation Method for Time-Fractional Diffusion Equations....Pages 213-222
Wavelet-Based H?lder Regularity Analysis in Condition Monitoring....Pages 223-232
Integral Equation Technique for Finding the Current Distribution of Strip Antennas in a Gyrotropic Medium....Pages 233-242
A Two-Grid Method for a Second Kind Integral Equation with Green’s Kernel....Pages 243-252
A Brief Overview of Plate Finite Element Methods....Pages 253-260
Influence of a Weak Aerodynamics/Structure Interaction on the Aerodynamical Global Optimization of Shape....Pages 261-280
Multiscale Investigation of Solutions of the Wave Equation....Pages 281-290
The Laplace Transform Method for the Albedo Boundary Conditions in Neutron Diffusion Eigenvalue Problems....Pages 291-300
Solution of the Fokker–Planck Pencil Beam Equation for Electrons by the Laplace Transform Technique....Pages 301-309
Nonlinear Functional Parabolic Equations....Pages 311-320
Grid Computing for Multi-Spectral Tomographic Reconstruction of Chlorophyll Concentration in Ocean Water....Pages 321-326
Long-Time Solution of the Wave Equation Using Nonlinear Dissipative Structures....Pages 327-337
High-Performance Computing for Spectral Approximations....Pages 339-349
An Analytical Solution for the General Perturbed Diffusion Equation by an Integral Transform Technique....Pages 351-360
Back Matter....Pages 361-368
....Pages 369-372