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Integral methods in science and engineering. Volume 1, Theoretical techniques

Author: C Constanda; Matteo Dalla Riva; Pier Domenico Lamberti; Paolo Musolino
Publisher: Cham, Switzerland : Birkhäuser, [2017] ©2017
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Summary:
This contributed volume contains a collection of articles on the most recent advances in integral methods. The first of two volumes, this work focuses on the construction of theoretical integral methods. Written by internationally recognized researchers, the chapters in this book are based on talks given at the Fourteenth International Conference on Integral Methods in Science and Engineering, held July 25-29, 2016,  Read more...
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Genre/Form: Electronic books
Conference papers and proceedings
Congresses
Additional Physical Format: Print version:
International Conference on Integral Methods in Science and Engineering (14th : 2016 : Padova, Italy).
Integral methods in science and engineering. Volume 1, Theoretical techniques.
Cham, Switzerland : Birkhäuser, [2017]
(OCoLC)985082415
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: C Constanda; Matteo Dalla Riva; Pier Domenico Lamberti; Paolo Musolino
ISBN: 9783319593845 3319593846
OCLC Number: 1003317637
Description: 1 online resource (xxiv, 340 pages) : illustrations (some color)
Contents: Preface; Digital Art by Walid Ben Medjedel; Contents; List of Contributors; 1 An L1-Product-Integration Method in Astrophysics; 1.1 Introduction; 1.2 A Product-Integration Method in C; 1.3 Iterative Refinement; 1.4 Numerical Evidence; References; 2 Differential Operators and Approximation Processes Generated by Markov Operators; 2.1 Introduction; 2.2 Canonical Elliptic Second-Order Differential Operators and Bernstein-Schnabl Operators; 2.3 Other Classes of Differential Operators and Approximation Processes; 2.4 Final Remarks; References. 3 Analysis of Boundary-Domain Integral Equations for Variable-Coefficient Neumann BVP in 2D3.1 Preliminaries; 3.2 Parametrix-Based Potential Operators; 3.3 BDIEs for Neumann BVP; 3.4 Equivalence and Invertibility Theorems; 3.5 Perturbed BDIE Systems for the Neumann Problem; 3.6 Conclusion; References; 4 A Measure of the Torsional Performances of Partially Hinged Rectangular Plates; 4.1 Introduction; 4.2 Variational Setting and Gap Function Definition; 4.3 Proof of Theorem 1; 4.4 Proof of Theorem 2; 4.5 Proofs of Theorems 3 and 4; References. 5 On a Class of Integral Equations Involving Kernels of Cosine and Sine Type5.1 Introduction; 5.2 Integral Equations Generated by an Integral Operator with Cosine and Sine Kernels; 5.3 Operator Properties; 5.3.1 Invertibility and Spectrum; 5.3.2 Parseval-Type Identity and Unitary Properties; 5.3.3 Involution; 5.3.4 New Convolution; References; 6 The Simple-Layer Potential Approach to the Dirichlet Problem: An Extension to Higher Dimensions of Muskhelishvili Method and Applications; 6.1 Introduction; 6.2 Muskhelishvili's Method and Its Extension to Rn; 6.2.1 Muskhelishvili's Method. 6.2.2 Conjugate Differential Forms6.2.3 The Extension to Higher Dimensions of Muskhelishvili Method; 6.3 The Multiple-Layer Approach; References; 7 Bending of Elastic Plates: Generalized Fourier Series Method; 7.1 Introduction; 7.2 The Boundary Value Problem; 7.3 Numerical Example; 7.4 Graphical Illustrations; 7.5 The Classical Gram-Schmidt Procedure (CGS); 7.6 The Modified Gram-Schmidt Procedure (MGS); 7.7 The Householder Reflection Procedure (HR); References; 8 Existence and Uniqueness Results for a Class of Singular Elliptic Problems in Two-Component Domains; 8.1 Introduction. 8.2 Setting of the Problem8.3 A Priori Estimates; 8.4 Main Results; References; 9 Fredholmness of Nonlocal Singular Integral Operators with Slowly Oscillating Data; 9.1 Introduction; 9.2 Invertibility Criteria for Wiener Type Functional Operators; 9.3 Mellin Pseudodifferential Operators; 9.4 Fredholmness of the Operator N; References; 10 Multidimensional Time Fractional Diffusion Equation; 10.1 Introduction; 10.2 Preliminaries; 10.3 Fundamental Solution of the Multidimensional Time Fractional Diffusion-Wave Equation; 10.4 Fractional Moments.
Other Titles: Theoretical techniques
Responsibility: Christian Constanda, Matteo Dalla Riva, Pier Domenico Lamberti, Paolo Musolino, editors.

Abstract:

This contributed volume contains a collection of articles on the most recent advances in integral methods.  Read more...

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