Integral methods in science and engineering : theorical and computational advances /: theorical and computational advances. (2015)

• Record Type: Book
• Further Information: Note: Edited by Christian Constanda and Andreas Kirsch.
• 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.
• Publisher Details: Cham : Birkhäuser
• Publication Date: 2015
• Extent: 1 online resource (654 pages), illustrations
• Subjects: 518.5; Mathematics; Integral equations -- Numerical solutions; Mathematical analysis; Science -- Mathematics; Engineering mathematics; Differential Equations; Differential equations, partial; Integral equations; Numerical analysis; Mechanics; Mechanics, Applied; MATHEMATICS -- Numerical Analysis; Engineering mathematics; Integral equations -- Numerical solutions; Mathematical analysis; Science -- Mathematics; Mathematics -- Differential Equations; Mathematics -- Mathematical Analysis; Mathematics -- Number Systems; Science -- Mechanics -- Solids; Differential calculus & equations; Integral calculus & equations; Numerical analysis; Mechanics of solids; Electronic books
• Languages: English
• ISBNs: 9783319167275; 3319167278
• Related ISBNs: 9783319167268; 331916726X
• Notes: Note: Includes bibliographical references and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.