Irish Mathematical Society

Cumann Matamaitice na hÉireann

BULLETIN Number 36 Easter 1996

ISSN 0791-5578

Contents

• IMS Officers and Local Represenattives ...... ii
• Notes on Applying for IMS Nenbership ...... iii
• Minutes of IMS meeting 21.12.95 ................. 1
• IMS September meeting 1995 ... Eugene Gath 5

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• Articles
• Space-filling curves and Related Functions..
  ....... Stephen Buckley ................ 9
• Bernstein's Polynomial Inequalities and Functional Analysis ..
  ............Lawrence Harris ........... 19
• Jonsson Groups, rings and Algebras ..
  .............Eoin Coleman .............. 34
• Integral Inequality estimates for PDEs in Unbounded domains ..
  .............J. N. Flavin ................. 46
• Some New results in Ricci Curvature ..
  ............ David Wraith .............. 54

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• Problems
• The 36th International Mathematical Olympiad ..
  ............. Fergus Gaines .............59

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• Research Announcements
• Five Announcements ... Martin Stynes et al.
  1. Optimal approximability of solutions of singularly perturbed differential equations ... R. Bruce Kellog and Martin Stynes ... 63
  2. Finite element methods for convection-diffusion problems using exponential splines on triangles .... Riccardo Sacco and Martin Stynes ... 64
  3. Necessary conditions for uniform convergence of finite difference schemes for convection-diffusion problems with exponential and parabolic layers ... Hans-Görg Roos and Martin Stynes ... 65
  4. Efficient generation of Shiskin meshes in solving convection-diffusion problems ... Neil Madden and Martin Stynes ... 66
  5. Analysis of a cell-vertex finite volume method for convection-diffusion problems ... K. W. Morton, Martin Stynes and Endre Süli ... 67

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• Book Review
• Mathematics - The Music of Reason by J. Dieudonné ... R. Harte .... 68

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• Solutions
• Solutions to the Problems of the 36th IMO ...... Fergus Gaines .......... 69