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ORCIDIan H. Sloan
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- affiliation: University of New South Wales, Sydney, Australia
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2020 – today
- 2024
[j118]Tareq Alodat, Quoc Thong Le Gia
, Ian H. Sloan:
On approximation for time-fractional stochastic diffusion equations on the unit sphere. J. Comput. Appl. Math. 446: 115863 (2024)- [j117]Mahadevan Ganesh, Frances Y. Kuo, Ian H. Sloan:
Corrigendum: Quasi-Monte Carlo Finite Element Analysis for Wave Propagation in Heterogeneous Random Media. SIAM/ASA J. Uncertain. Quantification 12(1): 212 (2024) - [j116]Harri Hakula, Helmut Harbrecht, Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan:
Uncertainty quantification for random domains using periodic random variables. Numerische Mathematik 156(1): 273-317 (2024) - [j115]Philipp A. Guth, Vesa Kaarnioja, Frances Y. Kuo, Claudia Schillings, Ian H. Sloan:
Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration. Numerische Mathematik 156(2): 565-608 (2024) - [j114]Jan Hamann, Quoc Thong Le Gia, Ian H. Sloan, Robert S. Womersley:
Removing the Mask - Reconstructing a Real-Valued Field on the Sphere from a Masked Field by Spherical Fourier Analysis. SIAM J. Imaging Sci. 17(3): 1820-1843 (2024) - 2023
- [j113]Min Zhong, Quoc Thong Le Gia, Ian H. Sloan:
A Multiscale RBF Method for Severely Ill-Posed Problems on Spheres. J. Sci. Comput. 94(1): 22 (2023) - [j112]Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan:
Analysis of Preintegration Followed by Quasi-Monte Carlo Integration for Distribution Functions and Densities. SIAM J. Numer. Anal. 61(1): 135-166 (2023) - [i18]Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan:
Lattice-based kernel approximation and serendipitous weights for parametric PDEs in very high dimensions. CoRR abs/2303.17755 (2023) - [i17]Frances Y. Kuo, Weiwen Mo, Dirk Nuyens, Ian H. Sloan, Abirami Srikumar:
Comparison of Two Search Criteria for Lattice-based Kernel Approximation. CoRR abs/2304.01685 (2023) - [i16]Ian H. Sloan, Vesa Kaarnioja:
Doubling the rate - improved error bounds for orthogonal projection in Hilbert spaces. CoRR abs/2308.06052 (2023) - [i15]Jan Hamann, Quoc Thong Le Gia, Ian H. Sloan, Robert S. Womersley:
Removing the mask - reconstructing a scalar field on the sphere from a masked field. CoRR abs/2309.14815 (2023) - 2022
- [j111]Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan:
Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on ℝd. Math. Comput. 91(336): 1837-1869 (2022) - [j110]Vesa Kaarnioja, Yoshihito Kazashi, Frances Y. Kuo, Fabio Nobile, Ian H. Sloan:
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification. Numerische Mathematik 150(1): 33-77 (2022) - [i14]Johann S. Brauchart, Peter J. Grabner, Ian H. Sloan, Robert S. Womersley:
Needlets Liberated. CoRR abs/2207.12838 (2022) - [i13]Philipp A. Guth, Vesa Kaarnioja, Frances Y. Kuo, Claudia Schillings, Ian H. Sloan:
Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration. CoRR abs/2208.02767 (2022) - [i12]Harri Hakula, Helmut Harbrecht, Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan:
Uncertainty quantification for random domains using periodic random variables. CoRR abs/2210.17329 (2022) - [i11]Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan, Abirami Srikumar:
Theory and construction of Quasi-Monte Carlo rules for option pricing and density estimation. CoRR abs/2212.11493 (2022) - 2021
- [j109]Kerstin Hesse, Ian H. Sloan, Robert S. Womersley:
Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data. J. Comput. Appl. Math. 382: 113061 (2021) - [j108]Tobias Hartung, Karl Jansen, Frances Y. Kuo, Hernan Leövey, Dirk Nuyens, Ian H. Sloan:
Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory. J. Comput. Phys. 443: 110527 (2021) - [j107]Mahadevan Ganesh, Frances Y. Kuo, Ian H. Sloan:
Quasi-Monte Carlo Finite Element Analysis for Wave Propagation in Heterogeneous Random Media. SIAM/ASA J. Uncertain. Quantification 9(1): 106-134 (2021) - [j106]Philipp A. Guth, Vesa Kaarnioja, Frances Y. Kuo, Claudia Schillings, Ian H. Sloan:
A Quasi-Monte Carlo Method for Optimal Control Under Uncertainty. SIAM/ASA J. Uncertain. Quantification 9(2): 354-383 (2021) - [j105]Ronald Cools, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan:
Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights. Math. Comput. 90(328): 787-812 (2021) - [i10]Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan:
Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on $\mathbb{R}^d$. CoRR abs/2103.16075 (2021) - [i9]Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan:
Approximating distribution functions and densities using quasi-Monte Carlo methods after smoothing by preintegration. CoRR abs/2112.10308 (2021) - [i8]Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan:
Preintegration is not smoothing when monotonicity fails. CoRR abs/2112.11621 (2021) - 2020
- [j104]Josef Dick, Aicke Hinrichs, Erich Novak, Klaus Ritter, Ian H. Sloan, Grzegorz W. Wasilkowski, Henryk Wozniakowski:
Editorial board announcements. J. Complex. 59: 101492 (2020) - [j103]Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan:
Uncertainty Quantification Using Periodic Random Variables. SIAM J. Numer. Anal. 58(2): 1068-1091 (2020) - [p1]Ronald Cools, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan:
Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters. 75 Years of Mathematics of Computation 2020 - [i7]Mahadevan Ganesh, Frances Y. Kuo, Ian H. Sloan:
Quasi-Monte Carlo finite element analysis for wave propagation in heterogeneous random media. CoRR abs/2004.12268 (2020) - [i6]Vesa Kaarnioja, Yoshihito Kazashi, Frances Y. Kuo, Fabio Nobile, Ian H. Sloan:
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification. CoRR abs/2007.06367 (2020) - [i5]Tobias Hartung, Karl Jansen, Frances Y. Kuo, Hernan Leövey, Dirk Nuyens, Ian H. Sloan:
Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory. CoRR abs/2011.05451 (2020)
2010 – 2019
- 2019
- [j102]Michael Feischl, Frances Y. Kuo, Ian H. Sloan:
Correction to: Fast random field generation with H-matrices. Numerische Mathematik 142(3): 787 (2019) - [j101]Alexander D. Gilbert, Ivan G. Graham, Frances Y. Kuo, Robert Scheichl, Ian H. Sloan:
Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients. Numerische Mathematik 142(4): 863-915 (2019) - [i4]Ronald Cools, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan:
Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters. CoRR abs/1910.06604 (2019) - [i3]Ronald Cools, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan:
Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights. CoRR abs/1910.06606 (2019) - [i2]Philipp A. Guth, Vesa Kaarnioja, Frances Y. Kuo, Claudia Schillings, Ian H. Sloan:
A quasi-Monte Carlo Method for an Optimal Control Problem Under Uncertainty. CoRR abs/1910.10022 (2019) - 2018
- [j100]Johann S. Brauchart, Alexander B. Reznikov, Edward B. Saff, Ian H. Sloan, Yuguang Wang, Robert S. Womersley:
Random Point Sets on the Sphere - Hole Radii, Covering, and Separation. Exp. Math. 27(1): 62-81 (2018) - [j99]Joseph Dick, Aicke Hinrichs, Erich Novak, Klaus Ritter, Ian H. Sloan, Grzegorz W. Wasilkowski, Henryk Wozniakowski:
New Members of the Editorial Board. J. Complex. 44: iii (2018) - [j98]Ian H. Sloan, Henryk Wozniakowski:
Multivariate approximation for analytic functions with Gaussian kernels. J. Complex. 45: 1-21 (2018) - [j97]Josef Dick, Aicke Hinrichs, Erich Novak, Klaus Ritter, Ian H. Sloan, Grzegorz W. Wasilkowski, Henryk Wozniakowski:
Changes of the Editorial Board. J. Complex. 46: iii (2018) - [j96]Andreas Griewank, Frances Y. Kuo, Hernan Leövey, Ian H. Sloan:
High dimensional integration of kinks and jumps - Smoothing by preintegration. J. Comput. Appl. Math. 344: 259-274 (2018) - [j95]Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan:
Hiding the weights - CBC black box algorithms with a guaranteed error bound. Math. Comput. Simul. 143: 202-214 (2018) - [j94]Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens, Robert Scheichl, Ian H. Sloan:
Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients. Numerische Mathematik 140(2): 479-511 (2018) - [j93]Michael Feischl, Frances Y. Kuo, Ian H. Sloan:
Fast random field generation with H-matrices. Numerische Mathematik 140(3): 639-676 (2018) - [j92]Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens, Robert Scheichl, Ian H. Sloan:
Analysis of Circulant Embedding Methods for Sampling Stationary Random Fields. SIAM J. Numer. Anal. 56(3): 1871-1895 (2018) - 2017
- [j91]Quoc Thong Le Gia, Ian H. Sloan, Holger Wendland:
Zooming from global to local: a multiscale RBF approach. Adv. Comput. Math. 43(3): 581-606 (2017) - [j90]Quoc Thong Le Gia, Ian H. Sloan, Yuguang Wang, Robert S. Womersley:
Needlet approximation for isotropic random fields on the sphere. J. Approx. Theory 216: 86-116 (2017) - [j89]Frances Y. Kuo, Dirk Nuyens, Leszek Plaskota, Ian H. Sloan, Grzegorz W. Wasilkowski:
Infinite-dimensional integration and the multivariate decomposition method. J. Comput. Appl. Math. 326: 217-234 (2017) - [j88]Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski:
Multivariate integration for analytic functions with Gaussian kernels. Math. Comput. 86(304): 829-853 (2017) - [j87]Michael Griebel, Frances Y. Kuo, Ian H. Sloan:
Note on "The smoothing effect of integration in ℝd and the ANOVA decomposition". Math. Comput. 86(306): 1847-1854 (2017) - [j86]Michael Griebel, Frances Y. Kuo, Ian H. Sloan:
The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth. Math. Comput. 86(306): 1855-1876 (2017) - [j85]Frances Y. Kuo, Robert Scheichl, Christoph Schwab, Ian H. Sloan, Elisabeth Ullmann:
Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems. Math. Comput. 86(308): 2827-2860 (2017) - [j84]Kerstin Hesse, Ian H. Sloan, Robert S. Womersley:
Radial basis function approximation of noisy scattered data on the sphere. Numerische Mathematik 137(3): 579-605 (2017) - 2016
- [j83]Hui Cao, Sergei V. Pereverzyev, Ian H. Sloan, Pavlo Tkachenko:
Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions. Appl. Math. Comput. 273: 993-1005 (2016) - [j82]Erich Novak, Klaus Ritter, Ian H. Sloan, Henryk Wozniakowski:
The Future of the Journal of Complexity. J. Complex. 32(1): v (2016) - 2015
- [j81]Frances Y. Kuo, Christoph Schwab, Ian H. Sloan:
Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random Coefficients. Found. Comput. Math. 15(2): 411-449 (2015) - [j80]Erich Novak, Ian H. Sloan, Klaus Ritter, Joseph F. Traub, Henryk Wozniakowski:
Tino Ullrich Wins the 2014 Information-Based Complexity Young Researcher Award. J. Complex. 31(2): v (2015) - [j79]Erich Novak, Klaus Ritter, Ian H. Sloan, Joseph F. Traub, Henryk Wozniakowski:
Bernd Carl, Aicke Hinrichs, and Philipp Rudolph share the 2014 Best Paper Award. J. Complex. 31(3): v (2015) - [j78]Erich Novak, Klaus Ritter, Ian H. Sloan, Henryk Wozniakowski:
Joseph F. Traub, the Founding Editor of the Journal of Complexity, dies at 83. J. Complex. 31(6): v (2015) - [j77]Ivan G. Graham, Frances Y. Kuo, James A. Nichols, Robert Scheichl, Christoph Schwab, Ian H. Sloan:
Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients. Numerische Mathematik 131(2): 329-368 (2015) - [j76]Sergei V. Pereverzyev, Ian H. Sloan, Pavlo Tkachenko:
Parameter Choice Strategies for Least-squares Approximation of Noisy Smooth Functions on the Sphere. SIAM J. Numer. Anal. 53(2): 820-835 (2015) - 2014
- [j75]Andrew Chernih, Ian H. Sloan, Robert S. Womersley:
Wendland functions with increasing smoothness converge to a Gaussian. Adv. Comput. Math. 40(1): 185-200 (2014) - [j74]Erich Novak, Ian H. Sloan, Joseph F. Traub, Henryk Wozniakowski:
Christoph Aistleitner Wins the 2013 Information-Based Complexity Young Researcher Award. J. Complex. 30(1): v (2014) - [j73]Erich Novak, Ian H. Sloan, Joseph F. Traub, Henryk Wozniakowski:
Shu Tezuka, Joos Heintz, Bart Kuijpers, and Andrés Rojas Paredes Share the 2013 Best Paper Award. J. Complex. 30(3): v (2014) - [j72]Erich Novak, Ian H. Sloan, Joseph F. Traub, Henryk Wozniakowski:
Frances Kuo Wins the 2014 Information-Based Complexity Prize. J. Complex. 30(4): v (2014) - [j71]Erich Novak, Ian H. Sloan, Joseph F. Traub, Henryk Wozniakowski:
Announcement. J. Complex. 30(5): v (2014) - [j70]Johann S. Brauchart, Edward B. Saff, Ian H. Sloan, Robert S. Womersley:
QMC designs: Optimal order Quasi Monte Carlo integration schemes on the sphere. Math. Comput. 83(290): 2821-2851 (2014) - [j69]Congpei An, Xiaojun Chen, Ian H. Sloan, Robert S. Womersley:
Corrigendum: Regularized Least Squares Approximations on the Sphere Using Spherical Designs. SIAM J. Numer. Anal. 52(4): 2205-2206 (2014) - 2013
- [j68]Josef Dick, Frances Y. Kuo, Ian H. Sloan:
High-dimensional integration: The quasi-Monte Carlo way. Acta Numer. 22: 133-288 (2013) - [j67]Michael Griebel, Frances Y. Kuo, Ian H. Sloan:
The smoothing effect of integration in Rd and the ANOVA decomposition. Math. Comput. 82(281): 383-400 (2013) - 2012
- [j66]Erich Novak, Ian H. Sloan, Joseph F. Traub, Henryk Wozniakowski:
Thomas Daun, Leszek Plaskota, Greg W. Wasilkowski Win the 2011 Best Paper Award. J. Complex. 28(5-6): 519 (2012) - [j65]Quoc Thong Le Gia, Ian H. Sloan, Holger Wendland:
Multiscale RBF collocation for solving PDEs on spheres. Numerische Mathematik 121(1): 99-125 (2012) - [j64]Congpei An, Xiaojun Chen, Ian H. Sloan, Robert S. Womersley:
Regularized Least Squares Approximations on the Sphere Using Spherical Designs. SIAM J. Numer. Anal. 50(3): 1513-1534 (2012) - [j63]Frances Y. Kuo, Christoph Schwab, Ian H. Sloan:
Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients. SIAM J. Numer. Anal. 50(6): 3351-3374 (2012) - 2011
- [j62]Ian H. Sloan:
Polynomial approximation on spheres - generalizing de la Vallée-Poussin. Comput. Methods Appl. Math. 11(4): 540-552 (2011) - [j61]Xiaoqun Wang, Ian H. Sloan:
Quasi-Monte Carlo Methods in Financial Engineering: An Equivalence Principle and Dimension Reduction. Oper. Res. 59(1): 80-95 (2011) - [j60]Erich Novak, Ian H. Sloan, Joseph F. Traub, Henryk Wozniakowski:
Aicke Hinrichs, Simon Foucart, Alain Pajor, Holger Rauhut, Tino Ullrich win the 2010 Best Paper Award. J. Complex. 27(6): 501 (2011) - [j59]C. K. Chan, Xiaojun Chen, Liqun Qi, Colin Rogers, Zhong-Ci Shi, Ian H. Sloan:
Preface. J. Comput. Appl. Math. 235(13): 3703-3704 (2011) - [j58]Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens, Robert Scheichl, Ian H. Sloan:
Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications. J. Comput. Phys. 230(10): 3668-3694 (2011) - [j57]Mahadevan Ganesh, Quoc Thong Le Gia, Ian H. Sloan:
A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres. Math. Comput. 80(275): 1397-1430 (2011) - [j56]Quoc Thong Le Gia, Ian H. Sloan, Andrew J. Wathen:
Stability and preconditioning for a hybrid approximation on the sphere. Numerische Mathematik 118(4): 695-711 (2011) - 2010
- [j55]Frances Y. Kuo, Ian H. Sloan, Grzegorz W. Wasilkowski, Benjamin J. Waterhouse:
Randomly shifted lattice rules with the optimal rate of convergence for unbounded integrands. J. Complex. 26(2): 135-160 (2010) - [j54]Markus Hegland, Stefan Heinrich, Ian H. Sloan:
Guest Editors' Preface. J. Complex. 26(5): 407 (2010) - [j53]Frances Y. Kuo, Ian H. Sloan, Grzegorz W. Wasilkowski, Henryk Wozniakowski:
Liberating the dimension. J. Complex. 26(5): 422-454 (2010) - [j52]Michael Griebel, Frances Y. Kuo, Ian H. Sloan:
The smoothing effect of the ANOVA decomposition. J. Complex. 26(5): 523-551 (2010) - [j51]Frances Y. Kuo, Ian H. Sloan, Grzegorz W. Wasilkowski, Henryk Wozniakowski:
On decompositions of multivariate functions. Math. Comput. 79(270): 953-966 (2010) - [j50]Thanh Tran, Quoc Thong Le Gia, Ian H. Sloan, Ernst P. Stephan:
Preconditioners for pseudodifferential equations on the sphere with radial basis functions. Numerische Mathematik 115(1): 141-163 (2010) - [j49]Quoc Thong Le Gia, Ian H. Sloan, Holger Wendland:
Multiscale Analysis in Sobolev Spaces on the Sphere. SIAM J. Numer. Anal. 48(6): 2065-2090 (2010) - [j48]Congpei An, Xiaojun Chen, Ian H. Sloan, Robert S. Womersley:
Well Conditioned Spherical Designs for Integration and Interpolation on the Two-Sphere. SIAM J. Numer. Anal. 48(6): 2135-2157 (2010)
2000 – 2009
- 2009
- [j47]Ian H. Sloan, Robert S. Womersley:
A variational characterisation of spherical designs. J. Approx. Theory 159(2): 308-318 (2009) - [j46]Erich Novak, Ian H. Sloan, Joseph F. Traub, Henryk Wozniakowski:
Changes to the Editorial Board. J. Complex. 25(6): 510 (2009) - [j45]Quoc Thong Le Gia, Ian H. Sloan, Thanh Tran:
Overlapping additive Schwarz preconditioners for elliptic PDEs on the unit sphere. Math. Comput. 78(265): 79-101 (2009) - [j44]Ian H. Sloan, Holger Wendland:
Inf-sup condition for spherical polynomials and radial basis functions on spheres. Math. Comput. 78(267): 1319-1331 (2009) - 2008
- [j43]Ian H. Sloan, Alvise Sommariva:
Approximation on the sphere using radial basis functions plus polynomials. Adv. Comput. Math. 29(2): 147-177 (2008) - [j42]Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski:
Lattice rule algorithms for multivariate approximation in the average case setting. J. Complex. 24(2): 283-323 (2008) - 2007
- [j41]Kerstin Hesse, Frances Y. Kuo, Ian H. Sloan:
A component-by-component approach to efficient numerical integration over products of spheres. J. Complex. 23(1): 25-51 (2007) - [j40]Kerstin Hesse, Hrushikesh N. Mhaskar, Ian H. Sloan:
Quadrature in Besov spaces on the Euclidean sphere. J. Complex. 23(4-6): 528-552 (2007) - [j39]Josef Dick, Peter Kritzer, Frances Y. Kuo, Ian H. Sloan:
Lattice-Nyström method for Fredholm integral equations of the second kind with convolution type kernels. J. Complex. 23(4-6): 752-772 (2007) - [j38]Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski:
Periodization strategy may fail in high dimensions. Numer. Algorithms 46(4): 369-391 (2007) - [e1]Stephan Dahlke, Klaus Ritter, Ian H. Sloan, Joseph F. Traub:
Algorithms and Complexity for Continuous Problems, 24.09. - 29.09.2006. Dagstuhl Seminar Proceedings 06391, Internationales Begegnungs- und Forschungszentrum fuer Informatik (IBFI), Schloss Dagstuhl, Germany 2007 [contents] - 2006
- [j37]Kerstin Hesse, Ian H. Sloan:
Cubature over the sphere S2 in Sobolev spaces of arbitrary order. J. Approx. Theory 141(2): 118-133 (2006) - [j36]Benjamin J. Waterhouse, Frances Y. Kuo, Ian H. Sloan:
Randomly shifted lattice rules on the unit cube for unbounded integrands in high dimensions. J. Complex. 22(1): 71-101 (2006) - [j35]Leszek Plaskota, Ian H. Sloan:
Guest Editors' preface. J. Complex. 22(5) (2006) - [j34]William McLean, Ian H. Sloan, Vidar Thomée:
Time discretization via Laplace transformation of an integro-differential equation of parabolic type. Numerische Mathematik 102(3): 497-522 (2006) - [j33]Josef Dick, Ian H. Sloan, Xiaoqun Wang, Henryk Wozniakowski:
Good Lattice Rules in Weighted Korobov Spaces with General Weights. Numerische Mathematik 103(1): 63-97 (2006) - [j32]Xiaoqun Wang, Ian H. Sloan:
Efficient Weighted Lattice Rules with Applications to Finance. SIAM J. Sci. Comput. 28(2): 728-750 (2006) - [i1]Stephan Dahlke, Klaus Ritter, Ian H. Sloan, Joseph F. Traub:
06391 Abstracts Collection -- Algorithms and Complexity for Continuous Problems. Algorithms and Complexity for Continuous Problems 2006 - 2005
- [j31]Rolf Dieter Grigorieff, Ian H. Sloan:
Discrete orthogonal projections on multiple knot periodic splines. J. Approx. Theory 137(2): 201-225 (2005) - [j30]Frances Y. Kuo, Ian H. Sloan:
Quasi-Monte Carlo methods can be efficient for integration over products of spheres. J. Complex. 21(2): 196-210 (2005) - [j29]Kerstin Hesse, Ian H. Sloan:
Optimal lower bounds for cubature error on the sphere S2. J. Complex. 21(6): 790-803 (2005) - [j28]Josef Dick, Frances Y. Kuo, Friedrich Pillichshammer, Ian H. Sloan:
Construction algorithms for polynomial lattice rules for multivariate integration. Math. Comput. 74(252): 1895-1921 (2005) - [j27]Fred J. Hickernell, Ian H. Sloan, Grzegorz W. Wasilkowski:
A Piecewise Constant Algorithm for Weighted L1 Approximation over Bounded or Unbounded Regions in Rs. SIAM J. Numer. Anal. 43(3): 1003-1020 (2005) - [j26]Xiaoqun Wang, Ian H. Sloan:
Why Are High-Dimensional Finance Problems Often of Low Effective Dimension?. SIAM J. Sci. Comput. 27(1): 159-183 (2005) - 2004
- [j25]Ian H. Sloan, Robert S. Womersley:
Extremal Systems of Points and Numerical Integration on the Sphere. Adv. Comput. Math. 21(1-2): 107-125 (2004) - [j24]Erich Novak, Ian H. Sloan, Henryk Wozniakowski:
Tractability of Approximation for Weighted Korobov Spaces on Classical and Quantum Computers. Found. Comput. Math. 4(2): 121-156 (2004) - [j23]Ian H. Sloan, Xiaoqun Wang, Henryk Wozniakowski:
Finite-order weights imply tractability of multivariate integration. J. Complex. 20(1): 46-74 (2004) - [j22]Josef Dick, Ian H. Sloan, Xiaoqun Wang, Henryk Wozniakowski:
Liberating the weights. J. Complex. 20(5): 593-623 (2004) - [j21]Fred J. Hickernell, Ian H. Sloan, Grzegorz W. Wasilkowski:
On tractability of weighted integration over bounded and unbounded regions in Reals. Math. Comput. 73(248): 1885-1901 (2004) - [j20]Fred J. Hickernell, Ian H. Sloan, Grzegorz W. Wasilkowski:
On strong tractability of weighted multivariate integration. Math. Comput. 73(248): 1903-1911 (2004) - [j19]Xiaoqun Wang, Ian H. Sloan, Josef Dick:
On Korobov Lattice Rules in Weighted Spaces. SIAM J. Numer. Anal. 42(4): 1760-1779 (2004) - 2002
- [j18]Ian H. Sloan, Henryk Wozniakowski:
Tractability of Integration in Non-periodic and Periodic Weighted Tensor Product Hilbert Spaces. J. Complex. 18(2): 479-499 (2002) - [j17]Ian H. Sloan, Andrew V. Reztsov:
Component-by-component construction of good lattice rules. Math. Comput. 71(237): 263-273 (2002) - [j16]Ian H. Sloan, Frances Y. Kuo, Stephen Joe:
On the step-by-step construction of quasi-Monte Carlo integration rules that achieve strong tractability error bounds in weighted Sobolev spaces. Math. Comput. 71(240): 1609-1640 (2002) - [j15]Ivan G. Graham, Ian H. Sloan:
Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in ℝ3. Numerische Mathematik 92(2): 289-323 (2002) - [j14]Ian H. Sloan, Frances Y. Kuo, Stephen Joe:
Constructing Randomly Shifted Lattice Rules in Weighted Sobolev Spaces. SIAM J. Numer. Anal. 40(5): 1650-1665 (2002) - 2001
- [j13]Robert S. Womersley, Ian H. Sloan:
How good can polynomial interpolation on the sphere be? Adv. Comput. Math. 14(3): 195-226 (2001) - [j12]Ian H. Sloan, Arthur G. Werschulz:
ANNOUNCEMENT: 2001 Best Paper Award Committee. J. Complex. 17(3): 495- (2001) - [j11]Ian H. Sloan, Henryk Wozniakowski:
Tractability of Multivariate Integration for Weighted Korobov Classes. J. Complex. 17(4): 697-721 (2001) - 2000
- [j10]Dongwoo Sheen, Ian H. Sloan, Vidar Thomée:
A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature. Math. Comput. 69(229): 177-195 (2000)
1990 – 1999
- 1999
- [j9]Ian H. Sloan, Wolfgang L. Wendland:
Spline qualocation methods for variable-coefficient elliptic equations on curves. Numerische Mathematik 83(3): 497-533 (1999) - 1998
- [j8]Ian H. Sloan, Henryk Wozniakowski:
When Are Quasi-Monte Carlo Algorithms Efficient for High Dimensional Integrals? J. Complex. 14(1): 1-33 (1998) - 1997
- [j7]Youngmok Jeon, Ian H. Sloan, Ernst P. Stephan, Johannes Elschner:
Discrete qualocation methods for logarithmic-kernel integral equations on a piecewise smooth boundary. Adv. Comput. Math. 7(4): 547-571 (1997) - [j6]Erich Novak, Ian H. Sloan, Henryk Wozniakowski:
Tractability of Tensor Product Linear Operators. J. Complex. 13(4): 387-418 (1997) - [j5]Ian H. Sloan, Henryk Wozniakowski:
An intractability result for multiple integration. Math. Comput. 66(219): 1119-1124 (1997) - 1996
- [j4]Christian Lubich, Ian H. Sloan, Vidar Thomée:
Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term. Math. Comput. 65(213): 1-17 (1996) - [j3]Ronald Cools, Ian H. Sloan:
Minimal cubature formulae of trigonometric degree. Math. Comput. 65(216): 1583-1600 (1996) - 1993
- [j2]Ian H. Sloan:
Random Number Generation and Quasi-Monte Carlo Methods (H, Niederreiter). SIAM Rev. 35(4): 680-681 (1993) - [j1]Stephen Joe, Ian H. Sloan:
Implementation of a lattice method for numerical multiple integration. ACM Trans. Math. Softw. 19(4): 523-545 (1993)
Coauthor Index
[j117] [j116] [j115] [j112] [i18] [i17] [j111] [j110] [i13] [i12] [i11] [j108] [j107] [j106] [j105] [i10] [i9] [i8] [j103] [p1] [i7] [i6] [i5] [j102] [j101] [i4] [i3] [i2] [j96] [j95] [j94] [j93] [j92] [j89] [j88] [j87] [j86] [j85] [j81] [j77] [j68] [j67] [j63] [j58] [j55] [j53] [j52] [j51] [j42] [j41] [j39] [j38] [j36] [j30] [j28] [j16] [j14]
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