By Emeritus Professor Ian Hugh Sloan

Journal articles

Sloan IH; Wendland WL, 1989, 'A quadrature based apporach to improving the collocation method for splines of even degree', Zeitschrift für Analysis und ihre Anwendungen, 8, pp. 361 - 376

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

Sloan IH, 1988, 'A quadrature-based approach to improving the collocation method', Numerische Mathematik, 54, pp. 41 - 56, http://dx.doi.org/10.1007/BF01403890

Anselone PM; Sloan IH, 1988, 'Numerical solutions of integral equations on the half line II. The Wiener-Hopf case', Journal of Integral Equations and Applications, 1, pp. 203 - 225, http://dx.doi.org/10.1216/JIE-1988-1-2-203

Yan Y; Sloan LH, 1988, 'On integral equations of the first kind with logarithmic kernels', Journal of Integral Equations and Applications, 1, pp. 549 - 579, http://dx.doi.org/10.1216/JIE-1988-1-4-549

Sloan IH; Spence A, 1988, 'The galerkin method for integral equations of the first kind with logarithmic kernel: Applications', IMA Journal of Numerical Analysis, 8, pp. 123 - 140, http://dx.doi.org/10.1093/imanum/8.1.123

Sloan IH; Spence A, 1988, 'The galerkin method for integral equations of the first kind with logarithmic kernel: Theory', IMA Journal of Numerical Analysis, 8, pp. 105 - 122, http://dx.doi.org/10.1093/imanum/8.1.105

Anselone PM; Sloan IH, 1987, 'Numerical solutions of integral equations on the half line - I. The compact case', Numerische Mathematik, 51, pp. 599 - 614, http://dx.doi.org/10.1007/BF01400172

DEHOOG F; SLOAN IH, 1987, 'THE FINITE-SECTION APPROXIMATION FOR INTEGRAL-EQUATIONS ON THE HALF-LINE', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 28, pp. 415 - 434, http://dx.doi.org/10.1017/S0334270000005506

Kumar S; Sloan IH, 1987, 'A new collocation type method for hammerstein integral equations', Mathematics of Computation, 48, pp. 585 - 593, http://dx.doi.org/10.1090/S0025-5718-1987-0878692-4

Sloan IH; Kachoyan PJ, 1987, 'LATTICE METHODS FOR MULTIPLE INTEGRATION: THEORY, ERROR ANALYSIS AND EXAMPLES.', SIAM Journal on Numerical Analysis, 24, pp. 116 - 128, http://dx.doi.org/10.1137/0724010

Sloan IH; Osborn TR, 1987, 'Multiple integration over bounded and unbounded regions', Journal of Computational and Applied Mathematics, 17, pp. 181 - 196, http://dx.doi.org/10.1016/0377-0427(87)90046-X

Kumar S; Sloan IH, 1987, 'A New Collocation-Type Method for Hammerstein Integral Equations', Mathematics of Computation, 48, pp. 585 - 585, http://dx.doi.org/10.1090/S0025-5718-1987-0878692-4

SLOAN IH; SPENCE A, 1986, 'INTEGRAL-EQUATIONS ON THE HALF-LINE - A MODIFIED FINITE-SECTION APPROXIMATION', MATHEMATICS OF COMPUTATION, 47, pp. 589 - 595, http://dx.doi.org/10.2307/2008174

Joe S; Sloan IH, 1986, 'On Bateman's method for second kind integral equations', Numerische Mathematik, 49, pp. 499 - 510, http://dx.doi.org/10.1007/BF01389702

Sloan IH; Spence A, 1986, 'Projection methods for integral equations on the half-line', IMA Journal of Numerical Analysis, 6, pp. 153 - 172, http://dx.doi.org/10.1093/imanum/6.2.153

Sloan IH; Spence A, 1986, 'Integral equations on the half-line: A modified finite-section approximation', Mathematics of Computation, 47, pp. 589 - 595, http://dx.doi.org/10.1090/S0025-5718-1986-0856704-0

SLOAN IH; THOMEE V, 1986, 'TIME DISCRETIZATION OF AN INTEGRODIFFERENTIAL EQUATION OF PARABOLIC TYPE', SIAM JOURNAL ON NUMERICAL ANALYSIS, 23, pp. 1052 - 1061, http://dx.doi.org/10.1137/0723073

Anselone PM; Sloan IH, 1985, 'INTEGRAL EQUATIONS ON THE HALF LINE.', Journal of Integral Equations, 9, pp. 3 - 23

Graham IG; Joe S; Sloan LH, 1985, 'Iterated galerkin versus iterated collocation for integral equations of the second kind', IMA Journal of Numerical Analysis, 5, pp. 355 - 369, http://dx.doi.org/10.1093/imanum/5.3.355

SLOAN IH; THOMEE V, 1985, 'SUPERCONVERGENCE OF THE GALERKIN ITERATES FOR INTEGRAL-EQUATIONS OF THE 2ND KIND', JOURNAL OF INTEGRAL EQUATIONS, 9, pp. 1 - 23

Sloan IH, 1984, 'Four variants of the galerkin method for integral equations of the second kind', IMA Journal of Numerical Analysis, 4, pp. 9 - 17, http://dx.doi.org/10.1093/imanum/4.1.9

Rabinowitz P; Sloan IH, 1984, 'PRODUCT INTEGRATION IN THE PRESENCE OF A SINGULARITY.', SIAM Journal on Numerical Analysis, 21, pp. 149 - 166, http://dx.doi.org/10.1137/0721010

Sloan IH, 1983, 'Nonpolynomial interpolation', Journal of Approximation Theory, 39, pp. 97 - 117, http://dx.doi.org/10.1016/0021-9045(83)90085-0

Smith WE; Sloan IH; Opie AH, 1983, 'Product integration over infinite intervals i. rules based on the zeros of hermite polynomials', Mathematics of Computation, 40, pp. 519 - 535, http://dx.doi.org/10.1090/S0025-5718-1983-0689468-1

ATKINSON K; GRAHAM I; SLOAN I, 1983, 'PIECEWISE CONTINUOUS COLLOCATION FOR INTEGRAL-EQUATIONS', SIAM JOURNAL ON NUMERICAL ANALYSIS, 20, pp. 172 - 186, http://dx.doi.org/10.1137/0720012

Smith WE; Sloan IH; Opie AH, 1983, 'Product Integration Over Infinite Intervals I. Rules Based on the Zeros of Hermite Polynomials', Mathematics of Computation, 40, pp. 519 - 519, http://dx.doi.org/10.2307/2007528

SLOAN IH; SMITH WE, 1982, 'PROPERTIES OF INTERPOLATORY PRODUCT INTEGRATION RULES', SIAM JOURNAL ON NUMERICAL ANALYSIS, 19, pp. 427 - 442, http://dx.doi.org/10.1137/0719027

Sloan IH, 1981, 'Analysis of general quadrature methods for integral equations of the second kind', Numerische Mathematik, 38, pp. 263 - 278, http://dx.doi.org/10.1007/BF01397095

Chandler C; Sloan IH, 1981, 'Addendum: Spurious solutions to N-particle scattering equations', Nuclear Physics Section A, 361, pp. 521 - 522, http://dx.doi.org/10.1016/0375-9474(81)90650-3

Sloan IH, 1981, 'Mathematical and computational methods', Nuclear Physics Section A, 353, pp. 365 - 374, http://dx.doi.org/10.1016/0375-9474(81)90722-3

Sloan IH, 1981, 'Comment on "failure of the connected-kernel method"', Physical Review C, 23, pp. 1289 - 1292, http://dx.doi.org/10.1103/PhysRevC.23.1289

Sloan IH, 1981, 'Quadrature methods for integral equations of the second kind over infinite intervals', Mathematics of Computation, 36, pp. 511 - 523, http://dx.doi.org/10.1090/S0025-5718-1981-0606510-2

SLOAN IH, 1981, 'QUADRATURE METHODS FOR INTEGRAL-EQUATIONS OF THE 2ND KIND OVER INFINITE INTERVALS', MATHEMATICS OF COMPUTATION, 36, pp. 511 - 523, http://dx.doi.org/10.2307/2007656

Sloan IH; Smith WE, 1980, 'Product integration with the Clenshaw-Curtis points: Implementation and error estimates', Numerische Mathematik, 34, pp. 387 - 401, http://dx.doi.org/10.1007/BF01403676

SMITH WE; SLOAN IH, 1980, 'PRODUCT-INTEGRATION RULES BASED ON THE ZEROS OF JACOBI-POLYNOMIALS', SIAM JOURNAL ON NUMERICAL ANALYSIS, 17, pp. 1 - 13, http://dx.doi.org/10.1137/0717001

Sloan IH, 1980, 'The numerical solution of Fredholm equations of the second kind by polynomial interpolation', Journal of Integral Equations, 2, pp. 265 - 279

Sloan IH, 1979, 'On choosing the points in product integration', Journal of Mathematical Physics, 21, pp. 1032 - 1039, http://dx.doi.org/10.1063/1.524552

Graham IG; Sloan IH, 1979, 'On the compactness of certain integral operators', Journal of Mathematical Analysis and Applications, 68, pp. 580 - 594, http://dx.doi.org/10.1016/0022-247X(79)90138-0

Sloan IH; Noussair E; Burn BJ, 1979, 'Projection methods for equations of the second kind', Journal of Mathematical Analysis and Applications, 69, pp. 84 - 103, http://dx.doi.org/10.1016/0022-247X(79)90179-3

Sloan IH; Burn BJ, 1979, 'Collocation wth polynomials for integral equations of the second kind', Journal of Integral Equations, 1, pp. 77 - 94

Sloan IH, 1978, 'Comment on 'The collocation variational method for solving Fredholm integral equations...'', Journal of Physics A Mathematical and General, 11, pp. 1195 - 1197, http://dx.doi.org/10.1088/0305-4470/11/6/020

Sloan IH; Smith WE, 1978, 'Product-integration with the Clenshaw-Curtis and related points - Convergence properties', Numerische Mathematik, 30, pp. 415 - 428, http://dx.doi.org/10.1007/BF01398509

Sloan IH, 1978, 'On the numerical evaluation of singular integrals', BIT, 18, pp. 91 - 102, http://dx.doi.org/10.1007/BF01947747

Sloan IH, 1976, 'Improvement by iteration for compact operator equations', Mathematics of Computation, 30, pp. 758 - 764, http://dx.doi.org/10.1090/S0025-5718-1976-0474802-4

Sloan IH, 1976, 'ITERATED GALERKIN METHOD FOR EIGENVALUE PROBLEMS.', SIAM Journal on Numerical Analysis, 13, pp. 753 - 760, http://dx.doi.org/10.1137/0713061

Sloan IH, 1976, 'Convergence of degenerate-kernel methods', The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 19, pp. 422 - 431, http://dx.doi.org/10.1017/s0334270000001296

SLOAN IH, 1976, 'IMPROVEMENT BY ITERATION FOR COMPACT OPERATOR EQUATIONS', MATHEMATICS OF COMPUTATION, 30, pp. 758 - 764, http://dx.doi.org/10.2307/2005396

Adhikari SK; Sloan IH, 1975, 'Separable expansion of the t-matrix in the 3S1-3D1 channel', Nuclear Physics Section A, 251, pp. 297 - 304, http://dx.doi.org/10.1016/0375-9474(75)90072-X

Sloan IH, 1975, 'Error analysis for a class of degenerate-kernel methods', Numerische Mathematik, 25, pp. 231 - 238, http://dx.doi.org/10.1007/BF01399412

Back to profile page