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

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

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

Edited by Josef Dick (), Frances Y. Kuo () and Henryk Woźniakowski ()

in Springer Books from Springer

Date: 2018
ISBN: 978-3-319-72456-0
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Chapters in this book:

Correction to: Multivariate Approximation in Downward Closed Polynomial Spaces: Albert Cohen and Giovanni Migliorati
On Quasi-Energy-Spectra, Pair Correlations of Sequences and Additive Combinatorics: Ida Aichinger, Christoph Aistleitner and Gerhard Larcher
Towards an Efficient Finite Element Method for the Integral Fractional Laplacian on Polygonal Domains: Mark Ainsworth and Christian Glusa
Irregularities of Distributions and Extremal Sets in Combinatorial Complexity Theory: Christoph Aistleitner and Aicke Hinrichs
Importance Sampling and Stratification for Copula Models: Philipp Arbenz, Mathieu Cambou, Marius Hofert, Christiane Lemieux and Yoshihiro Taniguchi
A Spectral Method for the Biharmonic Equation: Kendall Atkinson, David Chien and Olaf Hansen
Quasi-Monte Carlo for an Integrand with a Singularity Along a Diagonal in the Square: Kinjal Basu and Art B. Owen
There Is No Strongly Regular Graph with Parameters (460, 153, 32, 60): Andriy Bondarenko, Anton Mellit, Andriy Prymak, Danylo Radchenko and Maryna Viazovska
Low-Discrepancy Sequences for Piecewise Smooth Functions on the Torus: Luca Brandolini, Leonardo Colzani, Giacomo Gigante and Giancarlo Travaglini
Explicit Families of Functions on the Sphere with Exactly Known Sobolev Space Smoothness: Johann S. Brauchart
Logarithmic and Riesz Equilibrium for Multiple Sources on the Sphere: The Exceptional Case: Johann S. Brauchart, Peter D. Dragnev, Edward B. Saff and Robert S. Womersley
Numerical Analysis and Computational Solution of Integro-Differential Equations: Hermann Brunner
Multivariate Approximation in Downward Closed Polynomial Spaces: Albert Cohen and Giovanni Migliorati
Subperiodic Trigonometric Hyperinterpolation: Gaspare Da Fies, Alvise Sommariva and Marco Vianello
Discrete Data Fourier Deconvolution: Frank de Hoog, Russell Davies, Richard Loy and Robert Anderssen
Kernels of a Class of Toeplitz Plus Hankel Operators with Piecewise Continuous Generating Functions: Victor D. Didenko and Bernd Silbermann
Probabilistic Lower Bounds for the Discrepancy of Latin Hypercube Samples: Benjamin Doerr, Carola Doerr and Michael Gnewuch
Hyperinterpolation for Spectral Wave Propagation Models in Three Dimensions: Mahadevan Ganesh and Stuart C. Hawkins
Multilevel QMC with Product Weights for Affine-Parametric, Elliptic PDEs: Robert N. Gantner, Lukas Herrmann and Christoph Schwab
An Adaptive Filon Algorithm for Highly Oscillatory Integrals: Jing Gao and Arieh Iserles
MLMC for Nested Expectations: Michael B. Giles
A Note on Some Approximation Kernels on the Sphere: Peter Grabner
Modern Monte Carlo Variants for Uncertainty Quantification in Neutron Transport: Ivan G. Graham, Matthew J. Parkinson and Robert Scheichl
On the Representation of Symmetric and Antisymmetric Tensors: Wolfgang Hackbusch
Direct and Inverse Results on Bounded Domains for Meshless Methods via Localized Bases on Manifolds: Thomas Hangelbroek, Francis J. Narcowich, Christian Rieger and Joseph D. Ward
A Discrete Collocation Method for a Hypersingular Integral Equation on Curves with Corners: Thomas Hartmann and Ernst P. Stephan
On the Complexity of Parametric ODEs and Related Problems: Stefan Heinrich
Adaptive Quasi-Monte Carlo Methods for Cubature: Fred J. Hickernell, Lluís Antoni Jiménez Rugama and Da Li
Upwind Hybrid Spectral Difference Methods for Steady-State Navier–Stokes Equations: Youngmok Jeon and Dongwoo Sheen
On Nyström and Product Integration Methods for Fredholm Integral Equations: Peter Junghanns, Giuseppe Mastroianni and Incoronata Notarangelo
Properties and Numerical Solution of an Integral Equation to Minimize Airplane Drag: Peter Junghanns, Giovanni Monegato and Luciano Demasi
Hyperbolic Conservation Laws and L2: Barbara Lee Keyfitz and Hao Ying
Integral Equation Methods in Inverse Obstacle Scattering with a Generalized Impedance Boundary Condition: Rainer Kress
Ian Sloan and Lattice Rules: Peter Kritzer, Harald Niederreiter and Friedrich Pillichshammer
Truncation Dimension for Function Approximation: Peter Kritzer, Friedrich Pillichshammer and Grzegorz W. Wasilkowski
On Nonnegativity Preservation in Finite Element Methods for the Heat Equation with Non-Dirichlet Boundary Conditions: Stig Larsson and Vidar Thomée
Numerical Solutions of a Boundary Value Problem on the Sphere Using Radial Basis Functions: Quoc T. Le Gia
Approximate Boundary Null Controllability and Approximate Boundary Synchronization for a Coupled System of Wave Equations with Neumann Boundary Controls: Tatsien Li, Xing Lu and Bopeng Rao
Sparse Support Vector Machines in Reproducing Kernel Banach Spaces: Zheng Li, Yuesheng Xu and Qi Ye
Mean Convergence of Interpolation at Zeros of Airy Functions: Doron S. Lubinsky
Exponential Sum Approximations for t−β: William McLean
Approximate Quadrature Measures on Data-Defined Spaces: Hrushikesh N. Mhaskar
Tractability of Multivariate Problems for Standard and Linear Information in the Worst Case Setting: Part II: Erich Novak and Henryk Woźniakowski
The Analysis of Vertex Modified Lattice Rules in a Non-periodic Sobolev Space: Dirk Nuyens and Ronald Cools
Matching Schur Complement Approximations for Certain Saddle-Point Systems: John W. Pearson and Andy Wathen
Regularized Quadrature Methods for Fredholm Integral Equations of the First Kind: Sergei V. Pereverzev, Evgeniya V. Semenova and Pavlo Tkachenko
On Linear Versus Nonlinear Approximation in the Average Case Setting: Leszek Plaskota
Integral Equations, Quasi-Monte Carlo Methods and Risk Modeling: Michael Preischl, Stefan Thonhauser and Robert F. Tichy
A Note on the Multidimensional Moment Problem: Liqun Qi
On a Novel Resonant Ermakov-NLS System: Painlevé Reduction: Colin Rogers and Wolfgang K. Schief
An Upper Bound of the Minimal Dispersion via Delta Covers: Daniel Rudolf
A Local Inverse Formula and a Factorization: Gilbert Strang and Shev MacNamara
Ian Sloan’s Legacy in Integral Equation Methods: Thanh Tran
A Qualocation Method for Parabolic Partial Integro-Differential Equations in One Space Variable: Lok Pati Tripathi, Amiya K. Pani and Graeme Fairweather
Analysis of Framelet Transforms on a Simplex: Yu Guang Wang and Houying Zhu
Solving Partial Differential Equations with Multiscale Radial Basis Functions: Holger Wendland
Tractability of Approximation for Some Weighted Spaces of Hybrid Smoothness: Arthur G. Werschulz
Efficient Spherical Designs with Good Geometric Properties: Robert S. Womersley
Optimal Points for Cubature Rules and Polynomial Interpolation on a Square: Yuan Xu

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DOI: 10.1007/978-3-319-72456-0

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