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Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan

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Cover of 'Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan'

Table of Contents

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    Book Overview
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    Chapter 1 On Quasi-Energy-Spectra, Pair Correlations of Sequences and Additive Combinatorics
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    Chapter 2 Towards an Efficient Finite Element Method for the Integral Fractional Laplacian on Polygonal Domains
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    Chapter 3 Irregularities of Distributions and Extremal Sets in Combinatorial Complexity Theory
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    Chapter 4 Importance Sampling and Stratification for Copula Models
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    Chapter 5 A Spectral Method for the Biharmonic Equation
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    Chapter 6 Quasi-Monte Carlo for an Integrand with a Singularity Along a Diagonal in the Square
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    Chapter 7 There Is No Strongly Regular Graph with Parameters (460, 153, 32, 60)
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    Chapter 8 Low-Discrepancy Sequences for Piecewise Smooth Functions on the Torus
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    Chapter 9 Explicit Families of Functions on the Sphere with Exactly Known Sobolev Space Smoothness
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    Chapter 10 Logarithmic and Riesz Equilibrium for Multiple Sources on the Sphere: The Exceptional Case
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    Chapter 11 Numerical Analysis and Computational Solution of Integro-Differential Equations
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    Chapter 12 Multivariate Approximation in Downward Closed Polynomial Spaces
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    Chapter 13 Subperiodic Trigonometric Hyperinterpolation
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    Chapter 14 Discrete Data Fourier Deconvolution
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    Chapter 15 Kernels of a Class of Toeplitz Plus Hankel Operators with Piecewise Continuous Generating Functions
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    Chapter 16 Probabilistic Lower Bounds for the Discrepancy of Latin Hypercube Samples
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    Chapter 17 Hyperinterpolation for Spectral Wave Propagation Models in Three Dimensions
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    Chapter 18 Multilevel QMC with Product Weights for Affine-Parametric, Elliptic PDEs
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    Chapter 19 An Adaptive Filon Algorithm for Highly Oscillatory Integrals
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    Chapter 20 MLMC for Nested Expectations
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    Chapter 21 A Note on Some Approximation Kernels on the Sphere
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    Chapter 22 Modern Monte Carlo Variants for Uncertainty Quantification in Neutron Transport
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    Chapter 23 On the Representation of Symmetric and Antisymmetric Tensors
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    Chapter 24 Direct and Inverse Results on Bounded Domains for Meshless Methods via Localized Bases on Manifolds
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    Chapter 25 A Discrete Collocation Method for a Hypersingular Integral Equation on Curves with Corners
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    Chapter 26 On the Complexity of Parametric ODEs and Related Problems
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    Chapter 27 Adaptive Quasi-Monte Carlo Methods for Cubature
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    Chapter 28 Upwind Hybrid Spectral Difference Methods for Steady-State Navier–Stokes Equations
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    Chapter 29 On Nyström and Product Integration Methods for Fredholm Integral Equations
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    Chapter 30 Properties and Numerical Solution of an Integral Equation to Minimize Airplane Drag
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    Chapter 31 Hyperbolic Conservation Laws and L 2
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    Chapter 32 Integral Equation Methods in Inverse Obstacle Scattering with a Generalized Impedance Boundary Condition
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    Chapter 33 Ian Sloan and Lattice Rules
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    Chapter 34 Truncation Dimension for Function Approximation
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    Chapter 35 On Nonnegativity Preservation in Finite Element Methods for the Heat Equation with Non-Dirichlet Boundary Conditions
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    Chapter 36 Numerical Solutions of a Boundary Value Problem on the Sphere Using Radial Basis Functions
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    Chapter 37 Approximate Boundary Null Controllability and Approximate Boundary Synchronization for a Coupled System of Wave Equations with Neumann Boundary Controls
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    Chapter 38 Sparse Support Vector Machines in Reproducing Kernel Banach Spaces
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    Chapter 39 Mean Convergence of Interpolation at Zeros of Airy Functions
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    Chapter 40 Exponential Sum Approximations for t − β
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    Chapter 41 Approximate Quadrature Measures on Data-Defined Spaces
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    Chapter 42 Tractability of Multivariate Problems for Standard and Linear Information in the Worst Case Setting: Part II
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    Chapter 43 The Analysis of Vertex Modified Lattice Rules in a Non-periodic Sobolev Space
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    Chapter 44 Matching Schur Complement Approximations for Certain Saddle-Point Systems
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    Chapter 45 Regularized Quadrature Methods for Fredholm Integral Equations of the First Kind
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    Chapter 46 On Linear Versus Nonlinear Approximation in the Average Case Setting
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    Chapter 47 Integral Equations, Quasi-Monte Carlo Methods and Risk Modeling
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    Chapter 48 A Note on the Multidimensional Moment Problem
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    Chapter 49 On a Novel Resonant Ermakov-NLS System: Painlevé Reduction
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    Chapter 50 An Upper Bound of the Minimal Dispersion via Delta Covers
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    Chapter 51 A Local Inverse Formula and a Factorization
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    Chapter 52 Ian Sloan’s Legacy in Integral Equation Methods
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    Chapter 53 A Qualocation Method for Parabolic Partial Integro-Differential Equations in One Space Variable
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    Chapter 54 Analysis of Framelet Transforms on a Simplex
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    Chapter 55 Solving Partial Differential Equations with Multiscale Radial Basis Functions
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    Chapter 56 Tractability of Approximation for Some Weighted Spaces of Hybrid Smoothness
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    Chapter 57 Efficient Spherical Designs with Good Geometric Properties
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    Chapter 58 Optimal Points for Cubature Rules and Polynomial Interpolation on a Square
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Title
Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan
Published by
Springer International Publishing, March 2018
DOI 10.1007/978-3-319-72456-0
ISBNs
978-3-31-972455-3, 978-3-31-972456-0
Editors

Dick, Josef, Kuo, Frances Y., Woźniakowski, Henryk

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 8 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 8 100%

Demographic breakdown

Readers by professional status Count As %
Professor 2 25%
Student > Ph. D. Student 2 25%
Researcher 1 13%
Unknown 3 38%
Readers by discipline Count As %
Mathematics 3 38%
Computer Science 1 13%
Physics and Astronomy 1 13%
Unknown 3 38%