Ebook: Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques

​​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 to specific problems in science and engineering.

The chapters in this volume are based on talks given by well-known researchers at the Twelfth International Conference on Integral Methods in Science and Engineering, July 23–27, 2012, in Porto Alegre, Brazil. They address a broad range of topics, from problems of existence and uniqueness for singular integral equations on domain boundaries to numerical integration via finite and boundary elements, conservation laws, hybrid methods, and other quadrature-related approaches. The contributing authors bring their expertise to bear on a number of topical problems that have to date resisted solution, thereby offering help and guidance to fellow professionals worldwide.

Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques will be a valuable resource for researchers in applied mathematics, physics, and mechanical and electrical engineering, for graduate students in these disciplines, and for various other professionals who use integration as an essential tool in their work.​

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​​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 to specific problems in science and engineering.

The chapters in this volume are based on talks given by well-known researchers at the Twelfth International Conference on Integral Methods in Science and Engineering, July 23–27, 2012, in Porto Alegre, Brazil. They address a broad range of topics, from problems of existence and uniqueness for singular integral equations on domain boundaries to numerical integration via finite and boundary elements, conservation laws, hybrid methods, and other quadrature-related approaches. The contributing authors bring their expertise to bear on a number of topical problems that have to date resisted solution, thereby offering help and guidance to fellow professionals worldwide.

Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques will be a valuable resource for researchers in applied mathematics, physics, and mechanical and electrical engineering, for graduate students in these disciplines, and for various other professionals who use integration as an essential tool in their work.​

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​​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 to specific problems in science and engineering.

The chapters in this volume are based on talks given by well-known researchers at the Twelfth International Conference on Integral Methods in Science and Engineering, July 23–27, 2012, in Porto Alegre, Brazil. They address a broad range of topics, from problems of existence and uniqueness for singular integral equations on domain boundaries to numerical integration via finite and boundary elements, conservation laws, hybrid methods, and other quadrature-related approaches. The contributing authors bring their expertise to bear on a number of topical problems that have to date resisted solution, thereby offering help and guidance to fellow professionals worldwide.

Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques will be a valuable resource for researchers in applied mathematics, physics, and mechanical and electrical engineering, for graduate students in these disciplines, and for various other professionals who use integration as an essential tool in their work.​

Content:
Front Matter....Pages i-xix
Multiphase Flow Splitting in Looped Pipelines....Pages 1-14
Green’s Function Decomposition Method for Transport Equation....Pages 15-39
Integral Neutron Transport and New Computational Methods: A Review....Pages 41-56
Scale Invariance and Some Limits in Transport Phenomenology: Existence of a Spontaneous Scale....Pages 57-64
On Coherent Structures from a Diffusion-Type Model....Pages 65-74
Numerical Simulation of the Dynamics of Molecular Markers Involved in Cell Polarization....Pages 75-89
Analytical Study of Computational Radiative Fluxes in a Heterogeneous Medium....Pages 91-104
A Novel Approach to the Hankel Transform Inversion of the Neutron Diffusion Problem Using the Parseval Identity....Pages 105-114
What Is Convergence Acceleration Anyway?....Pages 115-136
On the Fractal Pattern Phenomenology of Geological Fracture Signatures from a Scaling Law....Pages 137-154
Spectral Boundary Homogenization Problems in Perforated Domains with Robin Boundary Conditions and Large Parameters....Pages 155-174
A Finite Element Formulation of the Total Variation Method for Denoising a Set of Data....Pages 175-182
Numerical Integration with Singularity by Taylor Series....Pages 183-193
Numerical Solutions of the 1D Convection–Diffusion–Reaction and the Burgers Equation Using Implicit Multi-stage and Finite Element Methods....Pages 195-204
Analytical Reconstruction of Monoenergetic Neutron Angular Flux in Non-multiplying Slabs Using Diffusion Synthetic Approximation....Pages 205-216
On the Fractional Neutron Point Kinetics Equations....Pages 217-227
On a Closed Form Solution of the Point Kinetics Equations with a Modified Temperature Feedback....Pages 229-243
Eulerian Modeling of Radionuclides in Surficial Waters: The Case of Ilha Grande Bay (RJ, Brazil)....Pages 245-257
Fractional Calculus: Application in Modeling and Control....Pages 259-277
Modified Integral Equation Method for Stationary Plate Oscillations....Pages 279-295
Nonstandard Integral Equations for the Harmonic Oscillations of Thin Plates....Pages 297-309
A Genuine Analytical Solution for the SN Multi-group Neutron Equation in Planar Geometry....Pages 311-328
Single-Phase Flow Instabilities: Effect of Pressure Waves in a Pump–Pipe–Plenum–Choke System....Pages 329-339
Two-Phase Flow Instabilities in Oil Wells: ESP Oscillatory Behavior and Casing-Heading....Pages 341-365
Validating a Closed Form Advection–Diffusion Solution by Experiments: Tritium Dispersion after Emission from the Brazilian Angra Dos Reis Nuclear Power Plant....Pages 367-384
Back Matter....Pages 385-397
....Pages 399-401