Contemporary computational mathematics - a celebration of the 80th birthday of Ian Sloan

Content: 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.