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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: Integral Methods in Science and Engineering (OCoLC)910078956 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

ISBN: | 9783319167275 3319167278 |

OCLC Number: | 925337546 |

Description: | 1 online resource (654 pages) : illustrations. |

Contents: | Preface; Contents; Contributors; 1 Solvability of a Nonstationary Problem of Radiative-Conductive Heat Transfer in a System of Semi-transparent Bodies; 1.1 Introduction; 1.2 Physical Statement of the Problem; 1.3 Boundary Value Problem for the Radiative Transfer Equation with Reflection and Refraction Conditions; 1.3.1 Some Notations and Function Spaces; 1.3.2 Boundary Operators; 1.3.3 Statement of the Reflection and Refraction Conditions; 1.3.4 Boundary Value Problem for Radiative Transfer Equation with Reflection and Refraction Conditions 1.4 Mathematical Statement of the Problem and Main ResultsReferences; 2 The Nonstationary Radiative-Conductive Heat Transfer Problem in a Periodic System of Grey Heat Shields. Semidiscrete and Asymptotic Approximations; 2.1 Introduction; 2.2 Statement and Some Properties of the Radiative-Conductive Heat Transfer Problem in a Periodic System of Grey Shields; 2.2.1 Physical Statement of the Problem; 2.2.2 Well-Known Asymptotic Approximations; 2.2.3 Mathematical Statement of the Original Problem; 2.3 Semidiscrete Approximations; 2.3.1 Grids, Grid Functions, and Grid operators 2.3.2 The Basic Semidiscrete Problem2.3.3 The First Semidiscrete Problem; 2.3.4 The Second Semidiscrete Problem; 2.4 Asymptotic Approximations; 2.4.1 The First Homogenized Problem; 2.4.2 The Second Homogenized Problem; 2.5 Semidiscrete Problems. Existence and Uniqueness of a Solution. A Priori Estimates for Solutions; 2.6 Error Estimates for Solutions to Semidiscrete Problems; 2.7 Homogenized Problems. Existence and Uniqueness of a Solution. A Priori Estimates and Comparison Theorem; 2.8 Error Estimates for Solutions to the Homogenized Problems; References 3 A Mixed Impedance Scattering Problem for Partially Coated Obstacles in Two-Dimensional Linear Elasticity3.1 Introduction; 3.2 The Direct Scattering Problem; 3.3 The Inverse Scattering Problem; References; 4 Half-Life Distribution Shift of Fission Products by Coupled Fission-Fusion Processes; 4.1 Introduction; 4.2 The Coulomb Barrier; 4.3 Particle Stopping in Nuclear Fuel; 4.4 Fusion Following Fission; 4.5 Conclusions; References; 5 DRBEM Simulation on Mixed Convection with Hydromagnetic Effect; 5.1 Introduction; 5.2 Problem Formulation and Governing Equations; 5.3 Method of Solution 5.4 Numerical Results and Discussion5.5 Conclusions; References; 6 Nonlinear Method of Reduction of Dimensionality Based on Artificial Neural Network and Hardware Implementation; 6.1 Introduction; 6.2 Methodology; 6.2.1 Principal Component Analysis; 6.2.2 Artificial Neural Network; 6.2.3 Self-Associative Artificial Neural Network; 6.2.4 Multi-Particle Collision Algorithm; 6.3 Results; 6.3.1 Execution of NLPCA in Hardware; 6.4 Conclusions; References; 7 On the Eigenvalues of a Biharmonic Steklov Problem; 7.1 Introduction; 7.2 Asymptotic Behavior of Neumann Eigenvalues |

Responsibility: | edited by Christian Constanda and Andreas Kirsch. |

More information: |

### Abstract:

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 numerical integration via finite and boundary elements, conservation laws, hybrid methods, and other quadrature-related approaches. This collection will be of interest to researchers in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines and other professionals for whom integration is an essential tool.

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