By Emeritus Professor Ian Hugh Sloan

Journal articles

Grigorieff RD; Sloan IH; Brandts JH, 2000, 'Superapproximation and commutator properties of discrete orthogonal projections for continuous splines', Journal of Approximation Theory, 107, pp. 244 - 267

Sheen D; Sloan IH; Thomee V, 1999, 'A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature', Mathematics of Computation, pp. 177 - 195

Sloan IH; Wendland W, 1999, 'Commutator properties for periodic splines', Journal of Approximation Theory, pp. 254 - 281

Cao HT; Kelly DW; Sloan IH, 1999, 'Local error bounds for post-processed finite element calculations', International Journal for Numerical Methods in Engineering, pp. 1085 - 1098

Ganesh M; Sloan IH, 1999, 'Optimal order spline methods for nonlinear differential and integro-differential equations', Applied Numerical Mathematics, pp. 445 - 478

Sloan IH; Wendland W, 1999, 'Spline qualocation methods for variable-coefficient elliptic equations on curves', American Journal of Science, pp. 497 - 533

Kress R; Sloan IH; Stenger F, 1998, 'A sinc quadrature method for the double-layer integral equation in planar domains with corners', Journal of Integral Equations and Applications, 10, pp. 291 - 317

Wang S; Sloan IH; Kelly DW, 1998, 'Computable error bounds for pointwise derivatives of a Neumann problem', IMA Journal of Numerical Analysis, 18, pp. 251 - 271

Sloan IH; Wendland W, 1998, 'Qualocation methods for elliptic boundary integral equations', American Journal of Science, pp. 451 - 483

Ainsworth M; Grigorieff RD; Sloan IH, 1998, 'Semi-discrete Galerkin approximation of the single layer equation by general splines', American Journal of Science, pp. 157 - 174

Grigorieff RD; Sloan IH, 1998, 'Stability of discrete orthogonal projections for continuous splines', Bulletin of the Australian Mathematical Society, pp. 307 - 332

Tran T; Sloan IH, 1998, 'Tolerant Qualocation A Qualocation Method for Boundary Integral Equations with Reduced Regularity Requirement', Journal of Integral Equations and Applications, 10, pp. 85 - 115

Sloan IH; Wozniakowski H, 1998, 'When are quasi-Monte Carlo algorithms efficient for high dimensional integrals?', Journal of Complexity, 14, pp. 1 - 33

Grigorieff RD; Sloan IH, 1997, 'Galerkin approximation with quadrature for the screen problem in R³', Journal of Integral Equations and Applications, 9, pp. 293 - 319, http://dx.doi.org/10.1216/jiea/1181076026

Sloan IH; Wozniakowski H, 1997, 'An intractability result for multiple integration', Mathematics of Computation, pp. 1119 - 1124

Lyness JN; Sloan IH, 1997, 'Cubature rules of prescribed merit', SIAM Journal on Numerical Analysis, pp. 586 - 602

Jeon YJ; Sloan IH; Stephan E; Elschner J, 1997, 'Discrete qualocation methods for logarithmic-kernel integral equations on a piecewise smooth boundary', Advances in Computational Mathematics, pp. 547 - 571

Monegato G; Sloan IH, 1997, 'Numerical solution of the generalized airfoil equation for an airfoil with a flap', SIAM Journal on Numerical Analysis, pp. 2288 - 2305

Reztsov AV; Sloan IH, 1997, 'On 2D packings of cubes in the torus', Proceedings of the American Mathematical Society, 125, pp. 17 - 26

Ainsworth M; Kelly DW; Sloan IH; Wang S, 1997, 'Post-processing with computable error bounds fro the finite element approximation of a nonlinear heat conduction problem', IMA Journal of Numerical Analysis, 17, pp. 547 - 561

Sloan IH, 1997, 'Review of `Integral Equations: Theory and Numerical Treatment` by Wolfgang Hackbusch', SIAM Review, pp. 333 - 374

Sloan IH; Atkinson K, 1997, 'Semi-discrete Galerkin methods for the single layer equation on Lipschitz curves', Journal of Integral Equations and Applications, pp. 279 - 292

Elschner J; Jeon YJ; Sloan IH; Stephan E, 1997, 'The collocation method for mixed boundary value problems on domains with curved polygonal boundaries', Numerische Mathematik, pp. 355 - 381

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

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