By Emeritus Professor Ian Hugh Sloan

Journal articles

Novak E; Sloan IH; Wozniakowski H, 1997, 'Tractability of tensor product linear operators', Journal of Complexity, 13, pp. 387 - 418

Grigorieff RD; Sloan IH, 1996, 'Spline Petrov-Galerkin methods with quadrature', Numerical Functional Analysis and Optimization, 17, pp. 755 - 784, http://dx.doi.org/10.1080/01630569608816723

Niederreiter H; Sloan IH, 1996, 'Variants of the Koksma-Hlawka inequality for vertex-modified quasi-Monte Carlo integration rules', Mathematical and Computer Modelling, 23, pp. 69 - 77, http://dx.doi.org/10.1016/0895-7177(96)00040-4

Cools R; Sloan IH, 1996, 'Minimal cubature formulae of trigonometric degree', Mathematics of Computation, pp. 1583 - 1600

Lubich CH; Sloan IH; Thomee V, 1996, 'Nonsmooth data error estimates for approximations of an evolution equation with a positive type memory term', Mathematics of Computation, pp. 1 - 17

Wang S; Sloan IH; Kelly DW, 1996, 'Pointwise a posteriori upper bounds for derivatives of a Newmann problem', Comp. Techniques and Applications, pp. 771 - 778

Schatz AH; Sloan IH; Wahlbin LB, 1996, 'Superconvergence in finite element methods and meshes that are locally symmetric with respect to a point', SIAM Journal on Numerical Analysis, pp. 505 - 521

Elschner J; Prossdorf S; Sloan IH, 1996, 'The qualocation method for Symm`s integral equation on a polygon', Mathematische Nachrichten, 177, pp. 81 - 108

Sloan IH, 1995, 'Polynomial interpolation and hyperinterpolation over general regions', Journal of Approximation Theory, pp. 238 - 254

SLOAN IH; ROZENSKY RH; KAPLAN L; SAUNDERS SM, 1994, 'A SHOOTING INCIDENT IN AN ELEMENTARY-SCHOOL - EFFECTS OF WORKER STRESS ON PUBLIC SAFETY, MENTAL-HEALTH, AND MEDICAL PERSONNEL', JOURNAL OF TRAUMATIC STRESS, 7, pp. 565 - 574, http://dx.doi.org/10.1002/jts.2490070405

Mclean W; Sloan IH, 1994, 'A fully discrete and symmetric boundary element method', IMA Journal of Numerical Analysis, 14, pp. 311 - 345, http://dx.doi.org/10.1093/imanum/14.3.311

JOE S; SLOAN IH, 1994, 'IMPLEMENTATION OF A LATTICE METHOD FOR NUMERICAL MULTIPLE INTEGRATION (VOL 19, PG 523, 1993)', ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 20, pp. 245 - 245, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1994PE56100005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Niederreiter H; Ian H. S, 1994, 'Integration of nonperiodic functions of two variables by Fibonacci lattice rules', Journal of Computational and Applied Mathematics, 51, pp. 57 - 70, http://dx.doi.org/10.1016/0377-0427(92)00004-S

Sloan IH; Joe S, 1994, 'Lattice Methods for Multiple Integration',

Kress R; Sloan IH, 1993, 'On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation', Numerische Mathematik, 66, pp. 199 - 214, http://dx.doi.org/10.1007/BF01385694

Sloan IH; Tran D; Fairweather G, 1993, 'A fourth-order cubic spline method for linear second-order two-point boundary-value problems', IMA Journal of Numerical Analysis, 13, pp. 591 - 607, http://dx.doi.org/10.1093/imanum/13.4.591

PROSSDORF S; SARANEN J; SLOAN IH, 1993, 'A DISCRETE METHOD FOR THE LOGARITHMIC-KERNEL INTEGRAL-EQUATION ON AN OPEN ARC', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 34, pp. 401 - 418, http://dx.doi.org/10.1017/S0334270000009000

Joe S; Sloan IH, 1993, 'Implementation of a Lattice Method for Numerical Multiple Integration', ACM Transactions on Mathematical Software (TOMS), 19, pp. 523 - 545, http://dx.doi.org/10.1145/168173.168425

Prössdorf S; Sloan IH, 1992, 'Quadrature method for singular integral equations on closed curves', Numerische Mathematik, 61, pp. 543 - 559, http://dx.doi.org/10.1007/BF01385525

Chandler GA; Sloan IH, 1992, 'Spline qualocation methods for boundary integral equations', Numerische Mathematik, 62, pp. 295, http://dx.doi.org/10.1007/BF01396230

SLOAN IH; STEPHAN EP, 1992, 'COLLOCATION WITH CHEBYSHEV POLYNOMIALS FOR SYMM INTEGRAL-EQUATION ON AN INTERVAL', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 34, pp. 199 - 211, http://dx.doi.org/10.1017/S0334270000008729

JOE S; SLOAN IH, 1992, 'ON COMPUTING THE LATTICE RULE CRITERION-R', MATHEMATICS OF COMPUTATION, 59, pp. 557 - 568, http://dx.doi.org/10.2307/2153074

Price JF; Sloan IH, 1992, 'Pointwise convergence of multiple Fourier series: Sufficient conditions and an application to numerical integration', Journal of Mathematical Analysis and Applications, 169, pp. 140 - 156, http://dx.doi.org/10.1016/0022-247X(92)90108-P

Saranen J; Sloan IH, 1992, 'Quadrature methods for logarithmic-kernel integral equations on closed curves', IMA Journal of Numerical Analysis, 12, pp. 167 - 187, http://dx.doi.org/10.1093/imanum/12.2.167

Sloan IH; Burn BJ, 1992, 'An unconventional quadrature method for logarithmic-kernel integral equations on closed curves', Journal of Integral Equations and Applications, 4, pp. 117 - 151, http://dx.doi.org/10.1216/jiea/1181075670

Sloan IH, 1992, 'Error analysis of boundary integral methods', Acta Numerica, 1, pp. 287 - 339, http://dx.doi.org/10.1017/S0962492900002294

Joe S; Sloan IH, 1992, 'Imbedded lattice rules for multidimensional integration', SIAM Journal on Numerical Analysis, 29, pp. 1119 - 1135, http://dx.doi.org/10.1137/0729068

Disney S; Sloan IH, 1992, 'Lattice integration rules of maximal rank formed by copying rank 1 rules', SIAM Journal on Numerical Analysis, 29, pp. 566 - 577, http://dx.doi.org/10.1137/0729036

Joe S; Sloan IH, 1992, 'On computing the lattice rule criterion R', Mathematics of Computation, 59, pp. 557 - 568, http://dx.doi.org/10.1090/S0025-5718-1992-1134733-2

Anselone PM; Sloan IH, 1992, 'Spectral approximations for wiener-hopf operators II', Journal of Integral Equations and Applications, 4, pp. 465 - 489, http://dx.doi.org/10.1216/jiea/1181075710

Sloan IH, 1991, 'Error bounds for the method of good lattice points', Mathematics of Computation, 56, pp. 257 - 266, http://dx.doi.org/10.1090/S0025-5718-1991-1052090-6

Brown G; Chandler GA; Sloan IH; Wilson DC, 1991, 'Properties of certain trigonometric series arising in numerical analysis', Journal of Mathematical Analysis and Applications, 162, pp. 371 - 380, http://dx.doi.org/10.1016/0022-247X(91)90155-S

Atkinson KE; Sloan IH, 1991, 'The numerical solution of first-kind logarithmic-kernel integral equations on smooth open arcs', Mathematics of Computation, 56, pp. 119 - 139, http://dx.doi.org/10.1090/S0025-5718-1991-1052084-0

ATKINSON KE; SLOAN IH, 1991, 'THE NUMERICAL-SOLUTION OF 1ST-KIND LOGARITHMIC-KERNEL INTEGRAL-EQUATIONS ON SMOOTH OPEN ARCS', MATHEMATICS OF COMPUTATION, 56, pp. 119 - 139, http://dx.doi.org/10.2307/2008533

Disney S; Sloan IH, 1991, 'Error Bounds for the Method of Good Lattice Points', Mathematics of Computation, 56, pp. 257 - 257, http://dx.doi.org/10.2307/2008540

LIN Q; SLOAN IH; XIE R, 1990, 'EXTRAPOLATION OF THE ITERATD-COLLOCATION METHOD FOR INTEGRAL-EQUATIONS OF THE 2ND KIND', SIAM JOURNAL ON NUMERICAL ANALYSIS, 27, pp. 1535 - 1541, http://dx.doi.org/10.1137/0727090

Chandler GA; Sloan IH, 1990, 'Spline qualocation methods for boundary integral equations', Numerische Mathematik, 58, pp. 537 - 567, http://dx.doi.org/10.1007/BF01385639

SLOAN IH; LYNESS JN, 1990, 'LATTICE RULES - PROJECTION REGULARITY AND UNIQUE REPRESENTATIONS', MATHEMATICS OF COMPUTATION, 54, pp. 649 - 660, http://dx.doi.org/10.2307/2008504

Sloan IH; Walsh L, 1990, 'A computer search of rank-2 lattice rules for multidimensional quadrature', Mathematics of Computation, 54, pp. 281 - 302, http://dx.doi.org/10.1090/S0025-5718-1990-1001485-4

SLOAN IH; WALSH L, 1990, 'A COMPUTER-SEARCH OF RANK-2 LATTICE RULES FOR MULTIDIMENSIONAL QUADRATURE', MATHEMATICS OF COMPUTATION, 54, pp. 281 - 302, http://dx.doi.org/10.2307/2008695

NIEDERREITER H; SLOAN IH, 1990, 'LATTICE RULES FOR MULTIPLE INTEGRATION AND DISCREPANCY', MATHEMATICS OF COMPUTATION, 54, pp. 303 - 312, http://dx.doi.org/10.2307/2008696

Niederreiter H; Sloan IH, 1990, 'Lattice rules for multiple integration and discrepancy', Mathematics of Computation, 54, pp. 303 - 312, http://dx.doi.org/10.1090/S0025-5718-1990-0995212-4

Sloan IH; Lyness JN, 1990, 'Lattice rules: Projection regularity and unique representations', Mathematics of Computation, 54, pp. 649 - 660, http://dx.doi.org/10.1090/S0025-5718-1990-1011443-1

Anselone PM; Sloan IH, 1990, 'Spectral approximations for Wiener-Hopf operators', Journal of Integral Equations and Applications, 2, pp. 237 - 261, http://dx.doi.org/10.1216/JIE-1990-2-2-237

LYNESS JN; SLOAN IH, 1989, 'SOME PROPERTIES OF RANK-2 LATTICE RULES', MATHEMATICS OF COMPUTATION, 53, pp. 627 - 637, http://dx.doi.org/10.2307/2008725

YAN Y; SLOAN IH, 1989, 'MESH GRADING FOR INTEGRAL-EQUATIONS OF THE 1ST KIND WITH LOGARITHMIC KERNEL', SIAM JOURNAL ON NUMERICAL ANALYSIS, 26, pp. 574 - 587, http://dx.doi.org/10.1137/0726034

Amini S; Sloan IH, 1989, 'Collocation methods for second kind integral equations with non-compact operators', Journal of Integral Equations and Applications, 2, pp. 1 - 30, http://dx.doi.org/10.1216/JIE-1989-2-1-1

Lyness JN; Sloan IH, 1989, 'Some properties of rank-2 lattice rules', Mathematics of Computation, 53, pp. 627 - 637, http://dx.doi.org/10.1090/S0025-5718-1989-0982369-6

Sloan IH; Lyness JN, 1989, 'The representation of lattice quadrature rules as multiple sums', Mathematics of Computation, 52, pp. 81 - 94, http://dx.doi.org/10.1090/S0025-5718-1989-0947468-3

SLOAN IH; LYNESS JN, 1989, 'THE REPRESENTATION OF LATTICE QUADRATURE-RULES AS MULTIPLE SUMS', MATHEMATICS OF COMPUTATION, 52, pp. 81 - 94, http://dx.doi.org/10.2307/2008654

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