• AMR03/1
  SOLUTION STABILITY, REGULARITY AND IMPLICIT FUNCTIONS FOR NONSMOOTH CONTINUOUS SYSTEMS
  V. Jeyakumar and N.D. Yen
  January 2003
  
  
• AMR03/2
  RANDOM WALKS ON LATTICE TUBES
  B.I. Henry and M.T. Batchelor
  February 2003
  
  
• AMR03/3
  EFFICIENT WEIGHTED LATTICE RULES WITH APPLICATIONS TO FINANCE
  X. Wang and I.H. Sloan
  February 2003
  Updated May 2005
  
  
• AMR03/4
  LIBERATING THE WEIGHTS
  J. Dick, I.H. Sloan, X. Wang and H. Wozniakowski
  February 2003
  
  
• AMR03/5
  A CRANK-NICOLSON AND ADI GALERKIN METHOD WITH QUADRATURE FOR HYPERBOLIC PROBLEMS
  M. Ganesh and K. Mustapha
  February 2003
  
  
• AMR03/6
  FULLY DISCRETE SPECTRAL METHODS FOR BOUNDARY INTEGRAL EQUATIONS ON SLENDER SPHEROIDS
  M. Ganesh
  February 2003
  
  
• AMR03/7
  TIME DISCRETIZATION OF AN EVOLUTION EQUATION VIA LAPLACE TRANSFORMS
  W. McLean and V. Thomee
  March 2003
  
  
• AMR03/8
  ON TRACTABILITY OF WEIGHTED INTEGRATION FOR CERTAIN BANACH SPACES OF FUNCTIONS
  F.J. Hickernell, I.H. Sloan and G.W. Wasilkowski
  March 2003
  
  
• AMR03/9
  ON STRONG TRACTABILITY OF WEIGHTED MULTIVARIATE INTEGRATION
  F.J. Hickernell, I.H. Sloan and G.W. Wasilkowski
  March 2003
  
  
• AMR03/10
  INTEGRABLE MAPPINGS OF THE PLANE PRESERVING BIQUADRATIC INVARIANT CURVES III
  A. Iatrou and J.A.G. Roberts
  March 2003
  
  
• AMR03/11
  WHEN DOES MONTE CARLO DEPEND POLYNOMIALLY ON THE NUMBER OF VARIABLES?
  I.H. Sloan and H. Wozniakowski
  March 2003
  
  
• AMR03/12
  TRACTABILITY OF APPROXIMATION FOR WEIGHTED KOROBOV SPACES ON CLASSICAL AND QUANTUM COMPUTERS
  E. Novak, I.H. Sloan and H. Wozniakowski
  March 2003/revised in May
  
  
• AMR03/13
  A HIGH-ORDER ALGORITHM FOR OBSTACLE SCATTERING IN THREE DIMENSIONS
  M. Ganesh and I.G. Graham
  April 2003
  
  
• AMR03/14
  SEQUENTIAL LAGRANGIAN DUALITY FOR ABSTRACT CONVEX PROGRAMS WITHOUT REGULARITY CONDITION
  N. Dinh, V. Jeyakumar and G.M. Lee
  April 2003
  
  
• AMR03/15
  REDUCING THE CONSTRUCTION COST OF THE COMPONENT-BY-COMPONENT CONSTRUCTION OF GOOD LATTICE RULES
  J. Dick and F.Y. Kuo
  April 2003
  
  
• AMR03/16
  CONSTRUCTING GOOD LATTICE RULES
  J. Dick and F.Y. Kuo
  April 2003
  
  
• AMR03/17
  ON KOROBOV LATTICE RULES IN WEIGHTED KOROBOV SPACES
  X. Wang, I.H. Sloan and J. Dick
  April 2003
  
  
• AMR03/18
  QUASI-MONTE CARLO METHODS CAN BE EFFICIENT FOR INTEGRATION OVER PRODUCTS OF SPHERES
  F.Y. Kuo and I.H. Sloan
  June 2003
  
  
• AMR03/19
  WORST-CASE ERRORS IN A SOBOLEV SPACE SETTING FOR CUBATURE OVER THE SPHERE S^2
  K. Hesse and I.H. Sloan
  June 2003
  Updated September 2004
  
  
• AMR03/20
  WHY ARE HIGH-DIMENSIONAL FINANCE PROBLEMS OFTEN OF LOW EFFECTIVE DIMENSION?
  X. Wang and I.H. Sloan
  June 2003
  Updated April, 2005
  
  
• AMR03/21
  ON THE CONVERGENCE RATE OF THE COMPONENT-BY-COMPONENT CONSTRUCTION OF GOOD LATTICE RULES
  J. Dick
  July 2003
  
  
• AMR03/22
  MAXIMUM-NORM ESTIMATES FOR FINITE-ELEMENT METHODS FOR A STRONGLY DAMPED WAVE EQUATION
  V. Thomee and L.B. Wahlbin
  July 2003
  
  
• AMR03/23
  A FULLY DISCRETE ADI METHOD FOR A CLASS OF HYPERBOLIC PROBLEMS IN THREE DIMENSIONS
  M. Ganesh and K. Mustapha
  July 2003
  
  
• AMR03/24
  GOOD LATTICE RULES IN WEIGHTED KOROBOV SPACES WITH GENERAL WEIGHTS
  J. Dick, I.H. Sloan, X. Wang and H. Wozniakowski
  August 2003
  Updated April 2005
  
  
• AMR03/25
  A HYBRID CONSTRUCTION METHOD FOR GOOD LATTICE RULES IN WEIGHTED KOROBOV SPACES
  J. Dick and X. Wang
  August 2003
  
  
• AMR03/26
  THE PROPAGATION OF WATER WAVES ACROSS A SHEARING CURRENT
  W.D. McKee
  September 2003
  
  
• AMR03/27
  ADDITIVE SCHWARZ PRECONDITIONER FOR THE h-p VERSION BOUNDARY ELEMENT APPROXIMATION TO THE HYPERSINGULAR OPERATOR IN THREE DIMENSIONS
  T. Tran
  October 2003
  Updated March 2005
  
  
• AMR03/28
  A CRANK-NICOLSON PETROV-GALERKIN METHOD WITH QUADRATURE FOR QUASI-LINEAR PARABOLIC PROBLEMS
  B. Bialecki, M. Ganesh and K. Mustapha
  October 2003
  
  
• AMR03/29
  MULTIVARIATE INTEGRATION IN WEIGHTED HILBERT SPACES BASED ON WALSH FUNCTIONS AND WEIGHTED SOBOLEV SPACES
  J. Dick and F. Pillichshammer
  October 2003
  Amended January 2004
  
  
• AMR03/30
  ON THE MEAN SQUARE WEIGHTED L2 DISCREPANCY OF RANDOMIZED DIGITAL (t,m,s)-NETS OVER Z2
  J. Dick and F. Pillichshammer
  November 2003
  
  
• AMR03/31
  HIGH-ORDER NUMERICAL INTEGRATION ON THE SPHERE AND EXTREMAL POINT SYSTEMS
  K. Hesse and I.H. Sloan
  November 2003/Updated September 2004
  
  
• AMR03/32
  ON THE EXISTENCE OF SOLUTIONS TO BOUNDARY VALUE PROBLEMS ON TIME SCALES
  (to appear in Discrete Contin. Dyn. Syst.)
  C.C. Tisdell and H.B. Thompson
  November 2003
  
  
• AMR03/33
  UNIQUENESS IMPLIES EXISTENCE FOR THREE-POINT BOUNDARY VALUE PROBLEMS FOR SECOND ORDER DYNAMIC EQUATIONS
  (to appear in Appl. Math. Lett.)
  J. Henderson, C.C. Tisdell and W.K.C. Yin
  November 2003
  
  
• AMR03/34
  TOPOLOGICAL TRANSVERSALITY AND BOUNDARY VALUE PROBLEMS ON TIME SCALES
  (to appear in J. Math. Anal. Appl.)
  J. Henderson and C.C. Tisdell
  November 2003
  
  
• AMR03/35
  ON TWO-POINT BOUNDARY VALUE PROBLEMS IN MULTI-ION ELECTRODIFFUSION
  (to appear in J. Math. Anal. Appl.)
  P. Amster, M.C. Mariani, C. Rogers and C.C. Tisdell
  November 2003