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Author ID: sloan.ian-h Recent zbMATH articles by "Sloan, Ian Hugh"
Published as: Sloan, Ian H.; Sloan, I. H.; Sloan, Ian; Sloan, I.
Homepage: http://web.maths.unsw.edu.au/~sloan/
External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef
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Co-Authors

36 single-authored
48 Kuo, Frances Y.
23 Womersley, Robert S.
19 Woźniakowski, Henryk
12 Le Gia, Quoc Thong
11 Hesse, Kerstin
10 Graham, Ivan G.
9 Grigorieff, Rolf Dieter
9 Joe, Stephen
9 Wang, Xiaoqun
9 Wasilkowski, Grzegorz W.
8 Dick, Josef
7 Nuyens, Dirk
7 Scheichl, Robert
7 Schwab, Christoph
6 Thomée, Vidar
6 Wang, Yuguang
5 Anselone, Philip M.
5 Hickernell, Fred J.
5 Smith, William E.
5 Stephan, Ernst Peter
5 Wendland, Holger
4 Burn, B. J.
4 Chen, Xiaojun
4 Ganesh, Mahadevan
4 Griebel, Michael
4 Kelly, Donald W.
4 Lyness, James N.
4 Niederreiter, Harald
4 Wendland, Wolfgang L.
3 An, Congpei
3 Atkinson, Kendall Eugene
3 Brauchart, Johann S.
3 Chandler, Graeme A.
3 Cools, Ronald
3 Elschner, Johannes
3 Gilbert, Alexander D.
3 Kaarnioja, Vesa
3 Novak, Erich
3 Prössdorf, Siegfried
3 Saff, Edward Barry
3 Waterhouse, Benjamin J.
2 Ainsworth, Mark
2 Disney, Shaun
2 Feischl, Michael
2 Giles, Michael B.
2 Kachoyan, Philip John
2 Kazashi, Yoshihito
2 Kress, Rainer
2 Leovey, Hernan
2 McLean, William
2 Pereverzev, Sergei V.
2 Reztsov, Andrew V.
2 Saranen, Jukka
2 Sheen, Dongwoo
2 Tkachenko, Pavlo
2 Walsh, Linda
2 Wang, Song
2 Yan, Yubin
1 Brandts, Jan H.
1 Brown, Gavin
1 Cao, Hui
1 Chan, Cheong-ki K.
1 Chernih, Andrew
1 Datyner, N.
1 de Hoog, Frank Robert
1 Dunsmuir, William T. M.
1 Fairweather, Graeme
1 Freeden, Willi
1 Grafarend, Erik W.
1 Griewank, Andreas
1 Guth, Philipp A.
1 Hartung, Tobias
1 Hegland, Markus
1 Heinrich, Stefan
1 Jansen, Karl
1 Jeltsch, Rolf
1 Kritzer, Peter
1 Kumar, Sunil
1 Langdon, Stephen
1 LeGia, T.
1 Li, Tatsien
1 Lin, Qun
1 Lubich, Christian
1 Mauersberger, D.
1 McKee, Bill
1 Mhaskar, Hrushikesh N.
1 Monegato, Giovanni
1 Nichols, James A.
1 Nobile, Fabio
1 Noussair, Ezzat S.
1 Opie, Alex H.
1 Osborn, Thomas Robert
1 Peters, Gareth William
1 Pillichshammer, Friedrich
1 Plaskota, Leszek
1 Qi, Liqun
1 Rabinowitz, Philip
1 Reznikov, A. B.
1 Rogers, Colin
1 Schatz, Alfred H.
...and 16 more Co-Authors
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Serials

33 Mathematics of Computation
28 Numerische Mathematik
25 SIAM Journal on Numerical Analysis
18 Journal of Complexity
12 IMA Journal of Numerical Analysis
12 Journal of Integral Equations and Applications
11 Journal of Computational and Applied Mathematics
9 Journal of Approximation Theory
6 Journal of Computational Physics
6 Advances in Computational Mathematics
5 Journal of Mathematical Analysis and Applications
5 The ANZIAM Journal
4 Journal of the Australian Mathematical Society, Series B
4 Journal of Integral Equations
3 Applied and Computational Harmonic Analysis
2 Bulletin of the Australian Mathematical Society
2 ACM Transactions on Mathematical Software
2 Applied Numerical Mathematics
2 SIAM Journal on Scientific Computing
2 The Journal of Fourier Analysis and Applications
2 Foundations of Computational Mathematics
2 Computational Methods in Applied Mathematics
2 SIAM/ASA Journal on Uncertainty Quantification
1 Journal of Mathematical Physics
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Applied Mathematics and Computation
1 The Australian Mathematical Society Gazette
1 International Journal for Numerical Methods in Engineering
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Numerical Functional Analysis and Optimization
1 Operations Research
1 Proceedings of the American Mathematical Society
1 Zeitschrift für Analysis und ihre Anwendungen
1 Constructive Approximation
1 Mathematical and Computer Modelling
1 Numerical Algorithms
1 Journal of Physics A: Mathematical and General
1 Notices of the American Mathematical Society
1 Experimental Mathematics
1 Vychislitel’nye Tekhnologii
1 Methodology and Computing in Applied Probability
1 Acta Numerica
1 Oberwolfach Reports
1 BIT. Nordisk Tidskrift for Informationsbehandling
1 Series in Contemporary Applied Mathematics CAM
1 GEM - International Journal on Geomathematics
1 Springer Proceedings in Mathematics & Statistics

Publications by Year

Citations contained in zbMATH Open

235 Publications have been cited 4,515 times in 2,215 Documents Cited by Year
Lattice methods for multiple integration. Zbl 0855.65013
Sloan, I. H.; Joe, S.
235
1994
When are quasi-Monte Carlo algorithms efficient for high dimensional integrals? Zbl 1032.65011
Sloan, Ian H.; Woźniakowski, Henryk
231
1998
High-dimensional integration: The quasi-Monte Carlo way. Zbl 1296.65004
Dick, Josef; Kuo, Frances Y.; Sloan, Ian H.
171
2013
Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term. Zbl 0852.65138
Lubich, Ch.; Sloan, I. H.; Thomée, V.
114
1996
On integral equations of the first kind with logarithmic kernels. Zbl 0682.45001
Yan, Y.; Sloan, I. H.
91
1988
Quasi-Monte Carlo finite element methods for a class of elliptic partial differential equations with random coefficients. Zbl 1271.65017
Kuo, Frances Y.; Schwab, Christoph; Sloan, Ian H.
85
2012
A new collocation-type method for Hammerstein integral equations. Zbl 0616.65142
Kumar, Sunil; Sloan, Ian H.
81
1987
Superconvergence in finite element methods and meshes that are locally symmetric with respect to a point. Zbl 0855.65115
Schatz, A. H.; Sloan, I. H.; Wahlbin, L. B.
71
1996
Tractability of multivariate integration for weighted Korobov classes. Zbl 0998.65004
Sloan, Ian H.; Woźniakowski, Henryk
67
2001
Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications. Zbl 1218.65009
Graham, I. G.; Kuo, F. Y.; Nuyens, D.; Scheichl, R.; Sloan, I. H.
67
2011
Time discretization of an integro-differential equation of parabolic type. Zbl 0608.65096
Sloan, I. H.; Thomée, V.
66
1986
Piecewise continuous collocation for integral equations. Zbl 0514.65094
Atkinson, K.; Graham, I.; Sloan, I.
63
1983
On decompositions of multivariate functions. Zbl 1196.41022
Kuo, F. Y.; Sloan, I. H.; Wasilkowski, G. W.; Wozniakowski, H.
63
2010
Extremal systems of points and numerical integration on the sphere. Zbl 1055.65038
Sloan, Ian H.; Womersley, Robert S.
62
2004
Constructing randomly shifted lattice rules in weighted Sobolev spaces. Zbl 1037.65005
Sloan, I. H.; Kuo, F. Y.; Joe, S.
61
2002
Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients. Zbl 1341.65003
Graham, I. G.; Kuo, F. Y.; Nichols, J. A.; Scheichl, R.; Schwab, Ch.; Sloan, I. H.
56
2015
A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature. Zbl 1022.65108
Sheen, Dongwoo; Sloan, Ian H.; Thomée, Vidar
56
2003
Polynomial interpolation and hyperinterpolation over general regions. Zbl 0839.41006
Sloan, Ian H.
55
1995
Improvement by iteration for compact operator equations. Zbl 0343.45010
Sloan, Ian H.
55
1976
Good lattice rules in weighted Korobov spaces with general weights. Zbl 1097.65004
Dick, Josef; Sloan, Ian H.; Wang, Xiaoqun; Woźniakowski, Henryk
54
2006
The Galerkin method for integral equations of the first kind with logarithmic kernel: Theory. Zbl 0636.65143
Sloan, I. H.; Spence, A.
53
1988
Component-by-component construction of good lattice rules. Zbl 0985.65018
Sloan, I. H.; Reztsov, A. V.
51
2002
A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature. Zbl 0936.65109
Sheen, Dongwoo; Sloan, Ian H.; Thomée, Vidar
47
2000
Properties of interpolatory product integration rules. Zbl 0491.41002
Sloan, Ian H.; Smith, William E.
46
1982
Lattice methods for multiple integration: theory, error analysis and examples. Zbl 0629.65020
Sloan, Ian H.; Kachoyan, Philip J.
41
1987
Multi-level quasi-Monte Carlo finite element methods for a class of elliptic PDEs with random coefficients. Zbl 1318.65006
Kuo, Frances Y.; Schwab, Christoph; Sloan, Ian H.
40
2015
On the step-by-step construction of quasi-Monte Carlo integration rules that achieve strong tractability error bounds in weighted Sobolev spaces. Zbl 1011.65001
Sloan, I. H.; Kuo, F. Y.; Joe, S.
39
2002
Liberating the dimension. Zbl 1203.65057
Kuo, Frances Y.; Sloan, Ian H.; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
39
2010
QMC designs: optimal order quasi Monte Carlo integration schemes on the sphere. Zbl 1315.65003
Brauchart, J. S.; Saff, E. B.; Sloan, I. H.; Womersley, R. S.
38
2014
Constructive polynomial approximation on the sphere. Zbl 0946.41007
Sloan, Ian H.; Womersley, Robert S.
35
2000
Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in \(\mathbb R^3\). Zbl 1018.65139
Graham, I. G.; Sloan, I. H.
35
2002
Construction algorithms for polynomial lattice rules for multivariate integration. Zbl 1079.65007
Dick, J.; Kuo, F. Y.; Pillichshammer, F.; Sloan, I. H.
35
2005
Quasi-Monte Carlo methods for high-dimensional integration: the standard (weighted Hilbert space) setting and beyond. Zbl 1248.65001
Kuo, F. Y.; Schwab, Ch.; Sloan, I. H.
34
2011
Liberating the weights. Zbl 1089.65005
Dick, Josef; Sloan, Ian H.; Wang, Xiaoqun; Woźniakowski, Henryk
33
2004
On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation. Zbl 0791.65089
Kress, Rainer; Sloan, Ian H.
33
1993
A quadrature-based approach to improving the collocation method. Zbl 0668.65111
Sloan, Ian H.
33
1988
Multiscale analysis in Sobolev spaces on the sphere. Zbl 1233.65011
Le Gia, Q. T.; Sloan, Ian H.; Wendland, Holger
33
2010
How good can polynomial interpolation on the sphere be? Zbl 0980.41003
Womersley, Robert S.; Sloan, Ian H.
32
2001
The numerical solution of first-kind logarithmic-kernel integral equations on smooth open arcs. Zbl 0713.65097
Atkinson, Kendall E.; Sloan, Ian H.
30
1991
Why are high-dimensional finance problems often of low effective dimension? Zbl 1149.65303
Wang, Xiaoqun; Sloan, Ian H.
30
2005
Lattice rules for multivariate approximation in the worst case setting. Zbl 1097.65133
Kuo, Frances Y.; Sloan, Ian H.; Woźniakowski, Henryk
30
2006
Error analysis of boundary integral methods. Zbl 0765.65109
Sloan, Ian H.
29
1992
Product-integration with the Clenshaw-Curtis and related points: Convergence properties. Zbl 0367.41015
Sloan, Ian H.; Smith, W. E.
29
1978
Finite-order weights imply tractability of multivariate integration. Zbl 1067.65006
Sloan, Ian H.; Wang, Xiaoqun; Woźniakowski, Henryk
29
2004
Extrapolation of the iterated-collocation method for integral equations of the second kind. Zbl 0724.65128
Lin, Q.; Sloan, I. H.; Xie, R.
29
1990
Cubature over the sphere \(S^{2}\) in Sobolev spaces of arbitrary order. Zbl 1102.41027
Hesse, Kerstin; Sloan, Ian H.
28
2006
Spline qualocation methods for boundary integral equations. Zbl 0694.65068
Chandler, G. A.; Sloan, I. H.
28
1990
Iterated Galerkin versus iterated collocation for integral equations of the second kind. Zbl 0586.65091
Graham, Ivan G.; Joe, Stephen; Sloan, Ian H.
28
1985
Integral equations on the half line. Zbl 0575.65137
Anselone, P. M.; Sloan, Ian H.
27
1985
Multilevel quasi-Monte Carlo methods for lognormal diffusion problems. Zbl 1368.65005
Kuo, Frances Y.; Scheichl, Robert; Schwab, Christoph; Sloan, Ian H.; Ullmann, Elisabeth
26
2017
Iterated Galerkin method for eigenvalue problems. Zbl 0359.65052
Sloan, Ian H.
26
1976
Tractability of approximation for weighted Korobov spaces on classical and quantum computers. Zbl 1072.81014
Novak, Erich; Sloan, Ian H.; Woźniakowski, Henryk
26
2004
Lifting the curse of dimensionality. Zbl 1080.65020
Kuo, Frances Y.; Sloan, Ian H.
25
2005
Product integration with the Clenshaw-Curtis points: Implementation and error estimates. Zbl 0416.65014
Sloan, Ian H.; Smith, William E.
25
1980
Time discretization via Laplace transformation of an integro-differential equation of parabolic type. Zbl 1097.65131
McLean, William; Sloan, Ian H.; Thomée, Vidar
25
2006
Lattice methods for multiple integration. Zbl 0597.65014
Sloan, Ian H.
24
1985
Product-integration rules based on the zeros of Jacobi polynomials. Zbl 0429.41023
Smith, William E.; Sloan, Ian H.
24
1980
Superconvergence. Zbl 0759.65091
Sloan, I. H.
23
1990
On tractability of weighted integration over bounded and unbounded regions in \(\mathbb{R}^s\). Zbl 1068.65005
Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W.
23
2004
The smoothing effect of the ANOVA decomposition. Zbl 1205.65017
Griebel, Michael; Kuo, Frances Y.; Sloan, Ian H.
23
2010
Numerical integration on the sphere. Zbl 1197.86018
Hesse, Kerstin; Sloan, Ian H.; Womersley, Robert S.
23
2010
Quadrature methods for logarithmic-kernel integral equations on closed curves. Zbl 0751.65069
Saranen, J.; Sloan, Ian H.
22
1992
The representation of lattice quadrature rules as multiple sums. Zbl 0659.65018
Sloan, Ian H.; Lyness, James N.
22
1989
Product integration in the presence of a singularity. Zbl 0547.65011
Rabinowitz, Philip; Sloan, Ian H.
21
1984
Multiscale RBF collocation for solving PDEs on spheres. Zbl 1246.65222
Le Gia, Q. T.; Sloan, Ian H.; Wendland, Holger
21
2012
Worst-case errors in a Sobolev space setting for cubature over the sphere \(S^2\). Zbl 1068.41049
Hesse, Kerstin; Sloan, Ian H.
21
2005
A quadrature-based approach to improving the collocation method for splines of even degree. Zbl 0698.65071
Sloan, Ian H.; Wendland, W. L.
21
1989
Optimal lower bounds for cubature error on the sphere \(S^2\). Zbl 1099.41023
Hesse, Kerstin; Sloan, Ian H.
21
2005
Lattice rule algorithms for multivariate approximation in the average case setting. Zbl 1141.65012
Kuo, Frances Y.; Sloan, Ian H.; Woźniakowski, Henryk
21
2008
Quasi-Monte Carlo methods in financial engineering: an equivalence principle and dimension reduction. Zbl 1217.91202
Wang, Xiaoqun; Sloan, Ian H.
21
2011
The smoothing effect of integration in \(\mathbb R^d\) and the ANOVA decomposition. Zbl 1264.41030
Griebel, Michael; Kuo, Frances Y.; Sloan, Ian H.
21
2013
Filtered hyperinterpolation: a constructive polynomial approximation on the sphere. Zbl 1259.65017
Sloan, Ian H.; Womersley, Robert S.
21
2012
Four variants of the Galerkin method for integral equations of the second kind. Zbl 0548.65093
Sloan, Ian H.
20
1984
Numerical solution of the generalized airfoil equation for an airfoil with a flap. Zbl 0901.76060
Monegato, G.; Sloan, I. H.
20
1997
Minimal cubature formulae of trigonometric degree. Zbl 0853.41015
Cools, Ronald; Sloan, Ian H.
18
1996
The search for good polynomial interpolation points on the sphere. Zbl 0952.65013
Sloan, I. H.; Womersley, R. S.
18
2000
Analysis of circulant embedding methods for sampling stationary random fields. Zbl 1434.60114
Graham, I. G.; Kuo, F. Y.; Nuyens, Dirk; Scheichl, R.; Sloan, I. H.
18
2018
The Galerkin method for integral equations of the first kind with logarithmic kernel: Applications. Zbl 0636.65144
Sloan, I. H.; Spence, A.
17
1988
Randomly shifted lattice rules with the optimal rate of convergence for unbounded integrands. Zbl 1208.65008
Kuo, Frances Y.; Sloan, Ian H.; Wasilkowski, Grzegorz W.; Waterhouse, Benjamin J.
17
2010
Hyperinterpolation on the sphere. Zbl 1194.41044
Hesse, Kerstin; Sloan, Ian H.
17
2007
An intractability result for multiple integration. Zbl 0871.41019
Sloan, I. H.; Woźniakowski, H.
17
1997
Tractability of integration in non-periodic and periodic weighted tensor product Hilbert spaces. Zbl 1011.65008
Sloan, Ian H.; Woźniakowski, Henryk
16
2002
Multiscale approximation for functions in arbitrary Sobolev spaces by scaled radial basis functions on the unit sphere. Zbl 1238.41020
Le Gia, Q. T.; Sloan, Ian H.; Wendland, Holger
15
2012
A variational characterisation of spherical designs. Zbl 1183.05015
Sloan, Ian H.; Womersley, Robert S.
15
2009
Analysis of general quadrature methods for integral equations of the second kind. Zbl 0456.45012
Sloan, Ian H.
15
1981
On the numerical evaluation of singular integrals. Zbl 0386.65002
Sloan, Ian H.
15
1978
Projection methods for integral equations on the half-line. Zbl 0593.65095
Sloan, I. H.; Spence, A.
14
1986
Quadrature in Besov spaces on the Euclidean sphere. Zbl 1134.41013
Hesse, K.; Mhaskar, H. N.; Sloan, I. H.
14
2007
Optimal order spline methods for nonlinear differential and integro-differential equations. Zbl 0930.65145
Ganesh, M.; Sloan, I. H.
14
1999
Error analysis for a class of degenerate kernel methods. Zbl 0304.65092
Sloan, Ian H.
14
1976
Regularized least squares approximations on the sphere using spherical designs. Zbl 1253.65035
An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S.
14
2012
Collocation with Chebyshev polynomials for Symm’s integral equation on an interval. Zbl 0760.65130
Sloan, I. H.; Stephan, E. P.
13
1992
Imbedded lattice rules for multidimensional integration. Zbl 0756.65027
Joe, Stephen; Sloan, Ian H.
13
1992
Qualocation methods for elliptic boundary integral equations. Zbl 0908.65104
Sloan, Ian H.; Wendland, Wolfgang L.
13
1998
Well conditioned spherical designs for integration and interpolation on the two-sphere. Zbl 1232.65043
An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S.
13
2010
Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients. Zbl 1417.65203
Graham, Ivan G.; Kuo, Frances Y.; Nuyens, Dirk; Scheichl, Rob; Sloan, Ian H.
13
2018
Fast random field generation with \(H\)-matrices. Zbl 1404.65033
Feischl, Michael; Kuo, Frances Y.; Sloan, Ian H.
13
2018
Nonpolynomial interpolation. Zbl 0519.41002
Sloan, Ian H.
12
1983
An unconventional quadrature method for logarithmic-kernel integral equations on closed curves. Zbl 0760.65131
Sloan, Ian H.; Burn, B. J.
12
1992
Properties of certain trigonometric series arising in numerical analysis. Zbl 0753.42008
Brown, Gavin; Chandler, G. A.; Sloan, Ian H.; Wilson, David C.
12
1991
A quasi-Monte Carlo method for optimal control under uncertainty. Zbl 1475.49004
Guth, Philipp A.; Kaarnioja, Vesa; Kuo, Frances Y.; Schillings, Claudia; Sloan, Ian H.
3
2021
Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights. Zbl 1456.65016
Cools, Ronald; Kuo, Frances Y.; Nuyens, Dirk; Sloan, Ian H.
2
2021
Quasi-Monte Carlo finite element analysis for wave propagation in heterogeneous random media. Zbl 1459.65010
Ganesh, M.; Kuo, Frances Y.; Sloan, Ian H.
2
2021
Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data. Zbl 07241391
Hesse, Kerstin; Sloan, Ian H.; Womersley, Robert S.
1
2021
Isotropic sparse regularization for spherical harmonic representations of random fields on the sphere. Zbl 1462.60064
Le Gia, Quoc Thong; Sloan, Ian H.; Womersley, Robert S.; Wang, Yu Guang
6
2020
Uncertainty quantification using periodic random variables. Zbl 07184150
Kaarnioja, V.; Kuo, F. Y.; Sloan, I. H.
4
2020
Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters. Zbl 1477.65051
Cools, Ronald; Kuo, Frances Y.; Nuyens, Dirk; Sloan, Ian H.
2
2020
Bounding the spectral gap for an elliptic eigenvalue problem with uniformly bounded stochastic coefficients. Zbl 1452.65315
Gilbert, Alexander D.; Graham, Ivan G.; Scheichl, Robert; Sloan, Ian H.
1
2020
Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients. Zbl 1416.65018
Gilbert, A. D.; Graham, I. G.; Kuo, F. Y.; Scheichl, R.; Sloan, I. H.
2
2019
Analysis of circulant embedding methods for sampling stationary random fields. Zbl 1434.60114
Graham, I. G.; Kuo, F. Y.; Nuyens, Dirk; Scheichl, R.; Sloan, I. H.
18
2018
Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients. Zbl 1417.65203
Graham, Ivan G.; Kuo, Frances Y.; Nuyens, Dirk; Scheichl, Rob; Sloan, Ian H.
13
2018
Fast random field generation with \(H\)-matrices. Zbl 1404.65033
Feischl, Michael; Kuo, Frances Y.; Sloan, Ian H.
13
2018
Multivariate approximation for analytic functions with Gaussian kernels. Zbl 1384.41026
Sloan, Ian H.; Woźniakowski, Henryk
9
2018
Random point sets on the sphere – hole radii, covering, and separation. Zbl 1386.52019
Brauchart, J. S.; Reznikov, A. B.; Saff, E. B.; Sloan, I. H.; Wang, Y. G.; Womersley, R. S.
8
2018
High dimensional integration of kinks and jumps – smoothing by preintegration. Zbl 1460.65023
Griewank, Andreas; Kuo, Frances Y.; Leövey, Hernan; Sloan, Ian H.
7
2018
Riemann localisation on the sphere. Zbl 1386.42027
Wang, Yu Guang; Sloan, Ian H.; Womersley, Robert S.
1
2018
Multilevel quasi-Monte Carlo methods for lognormal diffusion problems. Zbl 1368.65005
Kuo, Frances Y.; Scheichl, Robert; Schwab, Christoph; Sloan, Ian H.; Ullmann, Elisabeth
26
2017
Infinite-dimensional integration and the multivariate decomposition method. Zbl 1370.65013
Kuo, F. Y.; Nuyens, D.; Plaskota, L.; Sloan, I. H.; Wasilkowski, G. W.
9
2017
Fully discrete needlet approximation on the sphere. Zbl 1372.42040
Wang, Yu Guang; Gia, Quoc T. Le; Sloan, Ian H.; Womersley, Robert S.
9
2017
Radial basis function approximation of noisy scattered data on the sphere. Zbl 1380.41005
Hesse, Kerstin; Sloan, Ian H.; Womersley, Robert S.
6
2017
Note on “The smoothing effect of integration in \(\mathbb {R}^d\) and the ANOVA decomposition”. Zbl 1365.41020
Griebel, Michael; Kuo, Frances Y.; Sloan, Ian H.
5
2017
The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth. Zbl 1365.41021
Griebel, Michael; Kuo, Frances Y.; Sloan, Ian H.
5
2017
Multivariate integration for analytic functions with Gaussian kernels. Zbl 1356.41016
Kuo, Frances Y.; Sloan, Ian H.; Woźniakowski, Henryk
5
2017
On filtered polynomial approximation on the sphere. Zbl 1456.41006
Wang, Heping; Sloan, Ian H.
5
2017
Needlet approximation for isotropic random fields on the sphere. Zbl 1362.60049
Le Gia, Quoc T.; Sloan, Ian H.; Wang, Yu Guang; Womersley, Robert S.
4
2017
Zooming from global to local: a multiscale RBF approach. Zbl 1369.41002
Le Gia, Q. T.; Sloan, I. H.; Wendland, Holger
3
2017
Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions. Zbl 1410.86007
Cao, Hui; Pereverzyev, Sergei V.; Sloan, Ian H.; Tkachenko, Pavlo
3
2016
Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients. Zbl 1341.65003
Graham, I. G.; Kuo, F. Y.; Nichols, J. A.; Scheichl, R.; Schwab, Ch.; Sloan, I. H.
56
2015
Multi-level quasi-Monte Carlo finite element methods for a class of elliptic PDEs with random coefficients. Zbl 1318.65006
Kuo, Frances Y.; Schwab, Christoph; Sloan, Ian H.
40
2015
Covering of spheres by spherical caps and worst-case error for equal weight cubature in Sobolev spaces. Zbl 1325.65037
Brauchart, J. S.; Dick, J.; Saff, E. B.; Sloan, I. H.; Wang, Y. G.; Womersley, R. S.
8
2015
Parameter choice strategies for least-squares approximation of noisy smooth functions on the sphere. Zbl 1314.65040
Pereverzyev, S. V.; Sloan, I. H.; Tkachenko, P.
6
2015
QMC designs: optimal order quasi Monte Carlo integration schemes on the sphere. Zbl 1315.65003
Brauchart, J. S.; Saff, E. B.; Sloan, I. H.; Womersley, R. S.
38
2014
Wendland functions with increasing smoothness converge to a Gaussian. Zbl 1298.41002
Chernih, A.; Sloan, I. H.; Womersley, R. S.
9
2014
Corrigendum: “Regularized least squares approximations on the sphere using spherical designs”. Zbl 1304.65114
An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S.
1
2014
High-dimensional integration: The quasi-Monte Carlo way. Zbl 1296.65004
Dick, Josef; Kuo, Frances Y.; Sloan, Ian H.
171
2013
The smoothing effect of integration in \(\mathbb R^d\) and the ANOVA decomposition. Zbl 1264.41030
Griebel, Michael; Kuo, Frances Y.; Sloan, Ian H.
21
2013
On the choice of weights in a function space for quasi-Monte Carlo methods for a class of generalised response models in statistics. Zbl 1302.65021
Sinescu, Vasile; Kuo, Frances Y.; Sloan, Ian H.
4
2013
Correction to “Quasi-Monte Carlo methods for high-dimensional integration: the standard (weighted Hilbert space) setting and beyond”. Zbl 1311.65004
Kuo, F. Y.; Schwab, Ch.; Sloan, I. H.
1
2013
Monte Carlo and quasi-Monte Carlo methods 2012. Proceedings of the 10th international conference on ‘Monte Carlo and quasi-Monte Carlo methods in scientific computing’, Sydney, Australia, February 13–17, 2012. Zbl 1282.65007
1
2013
Quasi-Monte Carlo finite element methods for a class of elliptic partial differential equations with random coefficients. Zbl 1271.65017
Kuo, Frances Y.; Schwab, Christoph; Sloan, Ian H.
85
2012
Multiscale RBF collocation for solving PDEs on spheres. Zbl 1246.65222
Le Gia, Q. T.; Sloan, Ian H.; Wendland, Holger
21
2012
Filtered hyperinterpolation: a constructive polynomial approximation on the sphere. Zbl 1259.65017
Sloan, Ian H.; Womersley, Robert S.
21
2012
Multiscale approximation for functions in arbitrary Sobolev spaces by scaled radial basis functions on the unit sphere. Zbl 1238.41020
Le Gia, Q. T.; Sloan, Ian H.; Wendland, Holger
15
2012
Regularized least squares approximations on the sphere using spherical designs. Zbl 1253.65035
An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S.
14
2012
Correction to “Quasi-Monte Carlo methods for high-dimensional integration: the standard (weighted Hilbert space) setting and beyond”. Zbl 1260.65001
Kuo, F. Y.; Schwab, Ch.; Sloan, I. H.
1
2012
Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications. Zbl 1218.65009
Graham, I. G.; Kuo, F. Y.; Nuyens, D.; Scheichl, R.; Sloan, I. H.
67
2011
Quasi-Monte Carlo methods for high-dimensional integration: the standard (weighted Hilbert space) setting and beyond. Zbl 1248.65001
Kuo, F. Y.; Schwab, Ch.; Sloan, I. H.
34
2011
Quasi-Monte Carlo methods in financial engineering: an equivalence principle and dimension reduction. Zbl 1217.91202
Wang, Xiaoqun; Sloan, Ian H.
21
2011
Polynomial approximation on spheres – generalizing de la Vallée-Poussin. Zbl 1284.42078
Sloan, Ian H.
10
2011
A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres. Zbl 1387.65109
Ganesh, M.; Le Gia, Q. T.; Sloan, I. H.
5
2011
Stability and preconditioning for a hybrid approximation on the sphere. Zbl 1223.65022
Le Gia, Q. T.; Sloan, I. H.; Wathen, Andrew J.
4
2011
On decompositions of multivariate functions. Zbl 1196.41022
Kuo, F. Y.; Sloan, I. H.; Wasilkowski, G. W.; Wozniakowski, H.
63
2010
Liberating the dimension. Zbl 1203.65057
Kuo, Frances Y.; Sloan, Ian H.; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
39
2010
Multiscale analysis in Sobolev spaces on the sphere. Zbl 1233.65011
Le Gia, Q. T.; Sloan, Ian H.; Wendland, Holger
33
2010
The smoothing effect of the ANOVA decomposition. Zbl 1205.65017
Griebel, Michael; Kuo, Frances Y.; Sloan, Ian H.
23
2010
Numerical integration on the sphere. Zbl 1197.86018
Hesse, Kerstin; Sloan, Ian H.; Womersley, Robert S.
23
2010
Randomly shifted lattice rules with the optimal rate of convergence for unbounded integrands. Zbl 1208.65008
Kuo, Frances Y.; Sloan, Ian H.; Wasilkowski, Grzegorz W.; Waterhouse, Benjamin J.
17
2010
Well conditioned spherical designs for integration and interpolation on the two-sphere. Zbl 1232.65043
An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S.
13
2010
Preconditioners for pseudodifferential equations on the sphere with radial basis functions. Zbl 1189.65286
Tran, T.; Le Gia, Q. T.; Sloan, I. H.; Stephan, E. P.
7
2010
A variational characterisation of spherical designs. Zbl 1183.05015
Sloan, Ian H.; Womersley, Robert S.
15
2009
Boundary integral equations on the sphere with radial basis functions: Error analysis. Zbl 1176.65147
Tran, T.; Le Gia, Q. T.; Sloan, I. H.; Stephan, E. P.
10
2009
Essays on the complexity of continuous problems. Festschrift for Henryk Woźniakowski. Papers presented on June 6, 2008, Jena, Germany. Zbl 1165.68018
Novak, Erich; Sloan, Ian H.; Traub, Joseph F.; Woźniakowski, Henryk
7
2009
Overlapping additive Schwarz preconditioners for elliptic PDEs on the unit sphere. Zbl 1198.65241
Le Gia, Q. T.; Sloan, I. H.; Tran, T.
6
2009
How high is high-dimensional? Zbl 1201.68056
Sloan, Ian H.
2
2009
Inf-sup condition for spherical polynomials and radial basis functions on spheres. Zbl 1198.65036
Sloan, Ian H.; Wendland, Holger
2
2009
Lattice rule algorithms for multivariate approximation in the average case setting. Zbl 1141.65012
Kuo, Frances Y.; Sloan, Ian H.; Woźniakowski, Henryk
21
2008
Approximation on the sphere using radial basis functions plus polynomials. Zbl 1148.41020
Sloan, Ian H.; Sommariva, Alvise
11
2008
Low discrepancy sequences in high dimensions: how well are their projections distributed? Zbl 1144.65003
Wang, Xiaoqun; Sloan, Ian H.
10
2008
Quasi-Monte Carlo for highly structured generalised response models. Zbl 1234.62110
Kuo, F. Y.; Dunsmuir, W. T. M.; Sloan, I. H.; Wand, M. P.; Womersley, R. S.
9
2008
Quasi-Monte Carlo for finance applications. Zbl 1360.91150
Giles, Mike B.; Kuo, Frances Y.; Sloan, Ian H.; Waterhouse, Benjamin J.
7
2008
Hyperinterpolation on the sphere. Zbl 1194.41044
Hesse, Kerstin; Sloan, Ian H.
17
2007
Quadrature in Besov spaces on the Euclidean sphere. Zbl 1134.41013
Hesse, K.; Mhaskar, H. N.; Sloan, I. H.
14
2007
Lattice-Nyström method for Fredholm integral equations of the second kind with convolution type kernels. Zbl 1131.65108
Dick, Josef; Kritzer, Peter; Kuo, Frances Y.; Sloan, Ian H.
9
2007
Efficient evaluation of highly oscillatory acoustic scattering surface integrals. Zbl 1122.65025
Ganesh, M.; Langdon, S.; Sloan, I. H.
9
2007
Periodization strategy may fail in high dimensions. Zbl 1140.65011
Kuo, Frances Y.; Sloan, Ian H.; Woźniakowski, Henryk
5
2007
Brownian bridge and principal component analysis: Towards removing the curse of dimensionality. Zbl 1130.65007
Wang, Xiaoqun; Sloan, Ian H.
5
2007
Finite-order integration weights can be dangerous. Zbl 1138.65026
Sloan, I. H.
3
2007
A component-by-component approach to efficient numerical integration over products of spheres. Zbl 1344.65007
Hesse, Kerstin; Kuo, Frances Y.; Sloan, Ian H.
3
2007
Good lattice rules in weighted Korobov spaces with general weights. Zbl 1097.65004
Dick, Josef; Sloan, Ian H.; Wang, Xiaoqun; Woźniakowski, Henryk
54
2006
Lattice rules for multivariate approximation in the worst case setting. Zbl 1097.65133
Kuo, Frances Y.; Sloan, Ian H.; Woźniakowski, Henryk
30
2006
Cubature over the sphere \(S^{2}\) in Sobolev spaces of arbitrary order. Zbl 1102.41027
Hesse, Kerstin; Sloan, Ian H.
28
2006
Time discretization via Laplace transformation of an integro-differential equation of parabolic type. Zbl 1097.65131
McLean, William; Sloan, Ian H.; Thomée, Vidar
25
2006
Efficient weighted lattice rules with applications to finance. Zbl 1136.65305
Wang, Xiaoqun; Sloan, Ian H.
9
2006
Randomly shifted lattice rules on the unit cube for unbounded integrands in high dimensions. Zbl 1094.65006
Waterhouse, Ben J.; Kuo, Frances Y.; Sloan, Ian H.
5
2006
Construction algorithms for polynomial lattice rules for multivariate integration. Zbl 1079.65007
Dick, J.; Kuo, F. Y.; Pillichshammer, F.; Sloan, I. H.
35
2005
Why are high-dimensional finance problems often of low effective dimension? Zbl 1149.65303
Wang, Xiaoqun; Sloan, Ian H.
30
2005
Lifting the curse of dimensionality. Zbl 1080.65020
Kuo, Frances Y.; Sloan, Ian H.
25
2005
Worst-case errors in a Sobolev space setting for cubature over the sphere \(S^2\). Zbl 1068.41049
Hesse, Kerstin; Sloan, Ian H.
21
2005
Optimal lower bounds for cubature error on the sphere \(S^2\). Zbl 1099.41023
Hesse, Kerstin; Sloan, Ian H.
21
2005
Quasi-Monte Carlo methods can be efficient for integration over products of spheres. Zbl 1079.65008
Kuo, Frances Y.; Sloan, Ian H.
11
2005
A piecewise constant algorithm for weighted \(L_{1}\) approximation over bounded or unbounded regions in \(\mathbb R^s\). Zbl 1103.65018
Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W.
6
2005
Discrete orthogonal projections on multiple knot periodic splines. Zbl 1083.41006
Grigorieff, R. D.; Sloan, I. H.
3
2005
Optimal order integration on the sphere. Zbl 1097.65044
Hesse, Kerstin; Sloan, Ian H.
1
2005
Extremal systems of points and numerical integration on the sphere. Zbl 1055.65038
Sloan, Ian H.; Womersley, Robert S.
62
2004
Liberating the weights. Zbl 1089.65005
Dick, Josef; Sloan, Ian H.; Wang, Xiaoqun; Woźniakowski, Henryk
33
2004
Finite-order weights imply tractability of multivariate integration. Zbl 1067.65006
Sloan, Ian H.; Wang, Xiaoqun; Woźniakowski, Henryk
29
2004
Tractability of approximation for weighted Korobov spaces on classical and quantum computers. Zbl 1072.81014
Novak, Erich; Sloan, Ian H.; Woźniakowski, Henryk
26
2004
On tractability of weighted integration over bounded and unbounded regions in \(\mathbb{R}^s\). Zbl 1068.65005
Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W.
23
2004
On tractability of weighted integration for certain Banach spaces of functions. Zbl 1041.65006
Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W.
11
2004
On strong tractability of weighted multivariate integration. Zbl 1071.41027
Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W.
9
2004
...and 135 more Documents
all top 5

Cited by 2,177 Authors

117 Sloan, Ian Hugh
59 Dick, Josef
59 Pillichshammer, Friedrich
54 Kuo, Frances Y.
51 Woźniakowski, Henryk
42 Wasilkowski, Grzegorz W.
38 Kritzer, Peter
38 Xu, Da
33 Nelakanti, Gnaneshwar
31 Nuyens, Dirk
29 Schwab, Christoph
27 Hickernell, Fred J.
23 Le Gia, Quoc Thong
22 Ganesh, Mahadevan
21 Womersley, Robert S.
20 Gnewuch, Michael
20 Wang, Xiaoqun
18 Huang, Jin
18 Sayas, Francisco-Javier
18 Scheichl, Robert
17 Xu, Yuesheng
16 Goda, Takashi
16 Kulkarni, Rekha P.
16 Long, Guangqing
16 Nobile, Fabio
15 Brauchart, Johann S.
15 Cools, Ronald
15 Graham, Ivan G.
15 Potts, Daniel
14 Hinrichs, Aicke
14 Joe, Stephen
14 Owen, Art B.
14 Sbibih, Driss
14 Zhang, Zhimin
13 Allouch, Chafik
13 Chandler-Wilde, Simon N.
13 Hesse, Kerstin
13 Maleknejad, Khosrow
12 Chapko, Roman
12 Domínguez, Víctor
12 He, Wenming
12 Kämmerer, Lutz
12 Kress, Rainer
12 Leobacher, Gunther
12 Lyness, James N.
12 Novak, Erich
12 Saff, Edward Barry
12 Stephan, Ernst Peter
12 Wang, Heping
12 Zhou, Zhi
11 Chen, Jeng-Tzong
11 Griebel, Michael
11 McLean, William
11 Tahrichi, Mohamed
10 Mandal, Moumita
10 Niederreiter, Harald
10 Saranen, Jukka
10 Yan, Yubin
10 Zhu, Qiding
9 Chen, Xiaojun
9 Chen, Zhongying
9 Dehghan Takht Fooladi, Mehdi
9 Herrmann, Lukas
9 Leovey, Hernan
9 Monegato, Giovanni
9 Rabinowitz, Philip
9 Ritter, Klaus
9 Sørevik, Tor
9 Tempone, Raúl F.
9 Volkmer, Toni
9 Wang, Yuguang
9 Wendland, Holger
9 Yoshiki, Takehito
8 Cai, Haotao
8 Cao, Feilong
8 Deng, Weihua
8 Golberg, Michael A.
8 Grigorieff, Rolf Dieter
8 Harbrecht, Helmut
8 Jin, Bangti
8 L’Ecuyer, Pierre
8 Li, Hu
8 Liu, Jinghong
8 Qiu, Wenlin
8 Suzuki, Kosuke
8 Thomée, Vidar
7 Atkinson, Kendall Eugene
7 Brunner, Hermann
7 González-Vera, Pablo
7 Gräf, Manuel
7 Hawkins, Stuart Collin
7 He, Zhijian
7 Johansson, B. Tomas
7 Kaneko, Hideaki
7 Karaa, Samir
7 Larsson, Stig
7 Mastroianni, Giuseppe
7 Mhaskar, Hrushikesh N.
7 Nie, Daxin
7 Pani, Amiya Kumar
...and 2,077 more Authors
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Cited in 295 Serials

177 Journal of Computational and Applied Mathematics
165 Journal of Complexity
133 Mathematics of Computation
103 Numerische Mathematik
93 Journal of Integral Equations and Applications
75 Applied Mathematics and Computation
69 Applied Numerical Mathematics
61 Journal of Computational Physics
49 Journal of Scientific Computing
48 Computers & Mathematics with Applications
45 Advances in Computational Mathematics
44 SIAM Journal on Numerical Analysis
44 Numerical Algorithms
40 Journal of Approximation Theory
36 Computer Methods in Applied Mechanics and Engineering
36 SIAM Journal on Scientific Computing
32 International Journal of Computer Mathematics
30 BIT
27 SIAM/ASA Journal on Uncertainty Quantification
26 Engineering Analysis with Boundary Elements
22 Journal of Mathematical Analysis and Applications
21 Constructive Approximation
20 Numerical Methods for Partial Differential Equations
18 Computing
18 Numerical Functional Analysis and Optimization
17 Mathematics and Computers in Simulation
17 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 Foundations of Computational Mathematics
12 Applicable Analysis
12 Mathematical Methods in the Applied Sciences
12 Applied and Computational Harmonic Analysis
11 International Journal for Numerical Methods in Engineering
11 Computational and Applied Mathematics
10 Bulletin of the Australian Mathematical Society
10 Calcolo
10 Monte Carlo Methods and Applications
10 The ANZIAM Journal
9 Mathematical Programming. Series A. Series B
9 Mathematical Problems in Engineering
8 Applied Mathematics Letters
8 Mathematical and Computer Modelling
8 The Journal of Fourier Analysis and Applications
8 Multiscale Modeling & Simulation
8 Electronic Journal of Statistics
8 GEM - International Journal on Geomathematics
8 Statistics and Computing
7 Journal of Applied Mathematics and Computing
6 Journal of Mathematical Physics
6 Integral Equations and Operator Theory
6 Journal of Optimization Theory and Applications
6 Proceedings of the American Mathematical Society
6 Acta Mathematicae Applicatae Sinica. English Series
6 Quantitative Finance
6 International Journal of Numerical Analysis and Modeling
6 Stochastic and Partial Differential Equations. Analysis and Computations
5 Computer Physics Communications
5 The Annals of Statistics
5 Acta Applicandae Mathematicae
5 Statistical Science
5 Computational Mechanics
5 Applications of Mathematics
5 Linear Algebra and its Applications
5 SIAM Review
5 Finite Fields and their Applications
5 Journal of Inverse and Ill-Posed Problems
5 Computational Geosciences
5 Advances in Difference Equations
5 Inverse Problems in Science and Engineering
5 Advances in Applied Mathematics and Mechanics
4 Inverse Problems
4 Ukrainian Mathematical Journal
4 Monatshefte für Mathematik
4 Applied Mathematics and Mechanics. (English Edition)
4 Science in China. Series A
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Applied Mathematical Modelling
4 European Journal of Operational Research
4 Journal of Statistical Computation and Simulation
4 SIAM Journal on Optimization
4 Journal of Mathematical Sciences (New York)
4 Abstract and Applied Analysis
4 Fractional Calculus & Applied Analysis
4 Computational Methods in Applied Mathematics
4 SIAM Journal on Imaging Sciences
4 Science China. Mathematics
4 S\(\vec{\text{e}}\)MA Journal
3 Journal of Engineering Mathematics
3 Physica A
3 Functiones et Approximatio. Commentarii Mathematici
3 Mathematische Nachrichten
3 Transactions of the American Mathematical Society
3 Zeitschrift für Analysis und ihre Anwendungen
3 Statistics & Probability Letters
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Japan Journal of Industrial and Applied Mathematics
3 Computational Statistics and Data Analysis
3 The Journal of Analysis
3 Mathematical Methods of Statistics
3 ETNA. Electronic Transactions on Numerical Analysis
3 Journal of Mathematical Chemistry
...and 195 more Serials
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Cited in 55 Fields

1,819 Numerical analysis (65-XX)
491 Partial differential equations (35-XX)
490 Integral equations (45-XX)
424 Approximations and expansions (41-XX)
161 Probability theory and stochastic processes (60-XX)
130 Number theory (11-XX)
122 Fluid mechanics (76-XX)
121 Statistics (62-XX)
89 Harmonic analysis on Euclidean spaces (42-XX)
86 Operator theory (47-XX)
74 Functional analysis (46-XX)
70 Mechanics of deformable solids (74-XX)
66 Computer science (68-XX)
57 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
56 Operations research, mathematical programming (90-XX)
53 Special functions (33-XX)
51 Real functions (26-XX)
44 Ordinary differential equations (34-XX)
44 Optics, electromagnetic theory (78-XX)
38 Calculus of variations and optimal control; optimization (49-XX)
32 Potential theory (31-XX)
29 Integral transforms, operational calculus (44-XX)
26 Functions of a complex variable (30-XX)
25 Biology and other natural sciences (92-XX)
23 Geophysics (86-XX)
20 Global analysis, analysis on manifolds (58-XX)
20 Statistical mechanics, structure of matter (82-XX)
18 Information and communication theory, circuits (94-XX)
14 Quantum theory (81-XX)
14 Systems theory; control (93-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
12 Combinatorics (05-XX)
12 Measure and integration (28-XX)
12 Convex and discrete geometry (52-XX)
10 Classical thermodynamics, heat transfer (80-XX)
8 Difference and functional equations (39-XX)
5 Abstract harmonic analysis (43-XX)
5 Differential geometry (53-XX)
4 History and biography (01-XX)
3 Sequences, series, summability (40-XX)
3 Astronomy and astrophysics (85-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 General topology (54-XX)
2 Manifolds and cell complexes (57-XX)
2 Mechanics of particles and systems (70-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Commutative algebra (13-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Geometry (51-XX)
1 Relativity and gravitational theory (83-XX)

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