Contemporary computational mathematics - a celebration of the 80th birthday of Ian Sloan. ([2018])

• Record Type: Book
• Further Information: Note: Josef Dick, Frances Y. Kuo, Henryk Woźniakowski, editors.
• Editors: Dick, J (Josef); Kuo, F. Y (Frances Y.); Woźniakowski, H
• Other Names: Sloan, I. H honouree.
• Contents: Intro; Preface; Family Perspectives; Jan Sloan (Wife); Jenni Johnson (Daughter); Tony Sloan (Son); Sam Johnson (Grandson); Gus Sloan (Grandson); Mack Sloan (Grandson); Corrie Sloan (Grandson, Aged 12); Kiara (Button) Sloan (Granddaughter, Aged 9); Family; A Fortunate Scientific Life; Publications of Professor Sloan; Books; Edited Books, Special Issues, and Conference Proceedings; Journal Articles, Book Chapters, and Conference Proceedings Papers; Contents; About the Editors; On Quasi-Energy-Spectra, Pair Correlations of Sequences and Additive Combinatorics; 1 Introduction; 2 New Results 3 Auxiliary Results4 Proof of Theorem 3; References; Towards an Efficient Finite Element Method for the Integral Fractional Laplacian on Polygonal Domains; 1 Introduction; 2 The Integral Fractional Laplacian and Its Weak Formulation; 3 Finite Element Approximation of the Fractional Poisson Equation; 4 Computation of Entries of the Stiffness Matrix; 4.1 Reduction to Smooth Integrals; 4.2 Determining the Order of the Quadrature Rules; 5 Solving the Linear Systems; 6 Sparse Approximation of the Matrix; 7 Applications; 7.1 Fractional Poisson Equation; 7.2 Fractional Heat Equation 7.3 Fractional Reaction-Diffusion Systems8 Conclusion; Appendix 1: Derivation of Expressions for Singular Contributions; Appendix 2: Proof of Consistency Error Due to Quadrature; References; Irregularities of Distributions and Extremal Sets in Combinatorial Complexity Theory; 1 Introduction and Statement of Results; 2 The ``Cheap Proof'' of Theorem 1 in the Case n ≥e d2; 3 The ``Cheap Proof'' of Theorem 1 in the General Case; 4 Point Sets Which Prohibit the ``Cheap Argument'', and Combinatorial Complexity Theory; Appendix: Proof of Inequality (8); References Importance Sampling and Stratification for Copula Models1 Introduction; 2 Motivation and Background; 2.1 Archimedean Copulas and Sampling Methods; 2.1.1 Conditional Distribution Method; 2.1.2 Marshall-Olkin Algorithm; 2.2 Quasi-Monte Carlo and Copula Models; 3 Importance Sampling for Copula Models; 4 Importance Sampling Algorithm for Archimedean Copulas; 4.1 Stratified Sampling Alternative to Importance Sampling; 5 Variance Analysis and Calibration Method; 6 Numerical Examples; Appendix; References; A Spectral Method for the Biharmonic Equation; 1 Introduction; 2 Preliminaries 2.1 Approximation Space3 The Numerical Method; 3.1 Evaluating the Integrals; 4 Numerical Examples; 4.1 Planar Examples; 4.2 A Three Dimensional Example; 5 Nonhomogeneous Boundary Conditions; References; Quasi-Monte Carlo for an Integrand with a Singularity Along a Diagonal in the Square; 1 Introduction; 2 Background; 3 Error Bounds; 4 Extension Based Approaches; 5 Transformation; 6 Discussion; References; There Is No Strongly Regular Graph with Parameters(460, 153, 32, 60); 1 Introduction; 2 Proof of Theorem 1; 3 Conclusion; References
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 518.0285; Mathematics; Numerical analysis -- Data processing; MATHEMATICS / Numerical Analysis; Numerical analysis -- Data processing; Mathematics; Computational Mathematics and Numerical Analysis; Mathematics of Algorithmic Complexity; Mathematics -- Applied; Mathematical modelling; Computer science_xMathematics; Mathematics -- Counting & Numeration; Numerical analysis; Electronic books
• Languages: English
• ISBNs: 9783319724560; 3319724568
• Related ISBNs: 9783319724553; 331972455X
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (EBSCO, viewed May 31, 2018).
• 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.