• AMR06/1
  RANDOMLY-SHIFTED LATTICE RULES FOR UNBOUNDED INTEGRANDS
  F.Y. Kuo, G.W. Wasilkowski and B.J. Waterhouse
  January 2006
  
  
• AMR06/2
  A COMPONENT-BY-COMPONENT APPROACH TO EFFICIENT NUMERICAL INTEGRATION OVER PRODUCTS OF SPHERES
  K. Hesse, F.Y. Kuo and I.H. Sloan
  January 2006
  
  
• AMR06/3
  APPROXIMATION ON THE SPHERE USING RADIAL BASIS FUNCTIONS PLUS POLYNOMIALS
  I.H. Sloan and A. Sommariva
  January 2006
  
• Revised version April 2007
  
  
• AMR06/4
  EXPLICIT CONSTRUCTIONS OF QUASI-MONTE CARLO RULES FOR THE NUMERICAL INTEGRATION OF HIGH DIMENSIONAL PERIODIC FUNCTIONS
  J. Dick
  February 2006
  
  
• AMR06/5
  WALSH SPACES CONTAINING SMOOTH FUNCTIONS AND QUASI-MONTE CARLO RULES OF ARBITRARY HIGH ORDER
  J. Dick
  February 2006
  
• Revised version November 2007
  
  
• AMR06/6
  PERIODIC FUNCTIONS WITH BOUNDED REMAINDER
  J. Dick and F. Pillichshammer
  March 2006
  
  
• AMR06/7
  CYCLIC DIGITAL NETS, HYPERPLANE NETS AND MULTIVARIATE INTEGRATION IN SOBOLEV SPACES
  G. Pirsic, J. Dick and F. Pillichshammer
  March 2006
  
  
• AMR06/8
  LOW DISCREPANCY SEQUENCES IN HIGH DIMENSIONS: HOW WELL ARE THEIR PROJECTIONS DISTRIBUTED?
  X. Wang and I.H. Sloan
  March 2006
  Revised version November, 2006
  
  
• AMR06/9
  BROWNIAN BRIDGE AND PRINCIPAL COMPONENT ANALYSIS: TOWARDS REMOVING THE CURSE OF DIMENSIONALITY
  X. Wang and I.H. Sloan
  March 2006
  Revised version October, 2006
  
  
• AMR06/10
  MESHLESS CUBATURE BY GREEN'S FORMULA
  A. Sommariva and M. Vianello
  March 2006
  
  
• AMR06/11
  ON THE MEAN SQUARE WEIGHTED L2 DISCREPANCY OF RANDOMIZED DIGITAL NETS IN PRIME BASE
  L.L. Cristea, J. Dick and F. Pillichshammer
  April 2006
  
  
• AMR06/12
  THE TENT TRANSFORMATION CAN IMPROVE THE CONVERGENCE RATE OF QUASI-MONTE CARLO ALGORITHMS USING DIGITAL NETS
  L.L. Cristea, J. Dick, G. Leobacher and F. Pillichhammer
  April 2006
  
  
• AMR06/13
  ON SYSTEMS OF BOUNDARY VALUE PROBLEMS FOR DIFFERENTIAL INCLUSIONS
  L. Erbe, C.C. Tisdell and P.J.Y. Wong
  April 2006
  
  
• AMR06/14
  MONOTONE SOLUTIONS OF DYNAMIC SYSTEMS ON TIME SCALES
  L. Erbe, A. Peterson and C.C. Tisdell
  April 2006
  
  
• AMR06/15
  EXISTENCE OF SOLUTIONS TO FIRST-ORDER PERIODIC BOUNDARY VALUE PROBLEMS
  C.C. Tisdell
  April 2006
  
  
• AMR06/16
  EXISTENCE OF NON-SPURIOUS SOLUTIONS TO DISCRETE BOUNDRY VALUE PROBLEMS
  I. Rachunkova and C.C. Tisdell
  April 2006
  
  
• AMR06/17
  EFFICIENT EVALUATION OF HIGHLY OSCILLATORY ACOUSTIC SCATTERING SURFACE INTEGRALS
  M. Ganesh, S. Langdon and I.H. Sloan
  April 2006
  
  
• AMR06/18
  SYSTEMS OF DIFFERENTIAL INCLUSIONS IN THE ABSENCE OF MAXIMUM PRINCIPLES AND GROWTH CONDITIONS
  C.C. Tisdell
  April 2006
  
  
• AMR06/19
  EXISTENCE OF SOLUTIONS TO FIRST-ORDER DYNAMIC BOUNDARY VALUE PROBLEMS
  Q. Dai and C.C. Tisdell
  April 2006
  
  
• AMR06/20
  EXISTENCE OF SOLUTIONS FOR MULTIPOINT BOUNDARY VALUE PROBLEMS FOR NTH ORDER DIFFERENTIAL EQUATIONS
  J.M. Davis, J. Henderson, B. Karna, Q. Sheng and C.C. Tisdell
  April 2006
  
  
• AMR06/21
  THE CONSTRUCTION OF GOOD EXTENSIBLE RANK-1 LATTICES
  J. Dick, F. Pillichshammer and B.J. Waterhouse
  July 2006
  
  
• AMR06/22
  THE CONSTRUCTION OF GOOD EXTENSIBLE KOROBOV RULES
  J. Dick, F. Pillichshammer and B.J. Waterhouse
  July 2006
  
  
• AMR06/23
  QUADRATURE IN BESOV SPACES ON THE EUCLIDEAN SPHERE
  K. Hesse, H.N. Mhaskar and I.H. Sloan
  July 2006
  Revised version October, 2006
  
  
• AMR06/24
  ON THE SOLVABILITY OF NONLINEAR, FIRST-ORDER BOUNDARY VALUE PROBLEMS
  C.C. Tisdell
  July 2006
  
  
• AMR06/25
  ON THE SOLVABILITY OF TWO-POINT, SECOND-ORDER BOUNDARY VALUE PROBLEMS
  M. Rudd and C.C. Tisdell
  July 2006
  
  
• AMR06/26
  EXISTENCE OF NON-SPURIOUS SOLUTIONS TO DISCRETE DIRICHLET PROBLEMS WITH LOWER AND UPPER SOLUTIONS
  I. Rachunkova and C.C. Tisdell
  July 2006
  
  
• AMR06/27
  DYNAMIC BOUNDARY VALUE PROBLEMS OF THE SECOND-ORDER: BERNSTEIN-NAGUMO CONDITIONS AND SOLVABILITY
  J. Henderson and C.C. Tisdell
  July 2006
  
  
• AMR06/28
  ON FIRST-ORDER DISCRETE BOUNDARY VALUE PROBLEMS
  C.C. Tisdell
  August 2006
  
  
• AMR06/29
  SOLVABILITY OF DISCRETE NEUMANN BOUNDARY VALUE PROBLEMS
  D.R. Anderson, I. Rachunkova and C.C. Tisdell
  September 2006
  
  
• AMR06/30
  ON THE SOLVABILITY OF PERIODIC BOUNDARY VALUE PROBLEMS WITH IMPULSE
  J.C. Chen, C.C. Tisdell and R. Yuan
  September 2006
  
  
• AMR06/31
  THE s-ENERGY OF SPHERICAL DESIGNS ON S2
  K. Hesse
  September 2006
  
  
• AMR06/32
  MULTIVARIATE APPROXIMATION OF FUNCTIONS WITH BOUNDED FRACTIONAL DERIVATIVES
  J. Dick
  October 2006
  
  
• AMR06/33
  THE CONSTRUCTION OF EXTENSIBLE POLYNOMIAL LATTICE RULES WITH SMALL WEIGHTED STAR DISCREPANCY
  J. Dick
  October 2006
  
  
• AMR06/34
  CONSTANT-SIGN SOLUTIONS OF A SYSTEM OF VOLTERRA INTEGRAL EQUATIONS
  R.P. Agarwal, D. O'Regan, C.C. Tisdell and P.J.Y. Wong
  November 2006
  
  
• AMR06/35
  CONSTRUCTING EMBEDDED LATTICE RULES FOR MULTIVARIATE INTEGRATION
  R. Cools, F.Y. Kuo and D. Nuyens
  November 2006
  
  
• AMR06/36
  QUASI-MONTE CARLO FOR HIGHLY STRUCTURED GENERALISED RESPONSE MODELS
  F.Y. Kuo, W.T.M. Dunsmuir, I.H. Sloan, M.P. Wand and R.S. Womersley
  November 2006
  
• Revised version July 2007
  
  
• AMR06/37
  LATTICE RULE ALGORITHMS FOR MULTIVARIATE APPROXIMATION IN THE AVERAGE CASE SETTING
  F.Y. Kuo, I.H. Sloan and H. Wozniakowski
  November 2006
  
  
• AMR06/38
  LOCAL RADIAL BASIS FUNCTION APPROXIMATION ON THE SPHERE
  K. Hesse, Q.T. LeGia and I. Sloan
  November 2006
  
• Revised version May 2007
  K Hesse and Q.T. LeGia
  
  
• AMR06/39
  LATTICE-NYSTROM METHOD FOR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND
  J. Dick, P. Kritzer, F.Y. Kuo and I.H. Sloan
  November 2006
  
  
• OVERLAPPING ADDITIVE SCHWARZ PRECONDITIONERS FOR ELLIPTIC PDES ON THE UNIT SPHERE
  Q.T. Le Gia, I.H. Sloan and T. Tran
  December 2006
  
• Revised version December 2008
  
  
• AMR06/41
  POSITIVE WEIGHT QUADRATURE ON THE SPHERE AND MONOTONICITIES OF JACOBI POLYNOMIALS
  P.C. Leopardi
  December 2006
  
• Revised version February 2007