Integral methods in science and engineering. Theoretical techniques / Volume 1, ([2017])

• Record Type: Book
• Other Titles: Theoretical techniques
• Further Information: Note: Christian Constanda, Matteo Dalla Riva, Pier Domenico Lamberti, Paolo Musolino, editors.
• Editors: Constanda, C (Christian); Riva, Matteo Dalla; Lamberti, Pier Domenico; Musolino, Paolo
• Other Names: International Conference on Integral Methods in Science and Engineering, 14th
• 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.
• Publisher Details: Cham, Switzerland : Birkhäuser
• Publication Date: 2017
• Copyright Date: 2017
• Extent: 1 online resource (xxiv, 340 pages), illustrations (some color)
• Subjects: 518/.5; Mathematics; Integral equations -- Numerical solutions -- Congresses; Mathematical analysis -- Congresses; Science -- Mathematics -- Congresses; Engineering mathematics -- Congresses; Differential Equations; Differential equations, partial; Integral equations; Numerical analysis; MATHEMATICS -- Numerical Analysis; Engineering mathematics; Integral equations -- Numerical solutions; Mathematical analysis; Science -- Mathematics; Mathematics -- Differential Equations; Mathematics -- Mathematical Analysis; Mathematics -- Number Systems; Differential calculus & equations; Integral calculus & equations; Numerical analysis; Electronic books; Conference papers and proceedings
• Languages: English
• ISBNs: 9783319593845; 3319593846
• Related ISBNs: 9783319593838; 3319593838
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed September 20, 2017).
• 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.