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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. |

### 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.
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