Centre for Mathematics and its Applications
Mathematics Research Reports 1993

A.K. Pani and Todd Peterson (CMA-MR1-93)

The effect of numerical quadrature on finite element methods for a parabolic integro-differential equation.

• Published: SIAM J. Numer. Anal. 33 (1996), no. 3, 1084-1105 as "Finite element methods with numerical quadrature for parabolic integrodifferential equations"
• MR 97g:65195

Richard P. Brent (CMA-MR2-93)

An asymptotic expansion inspired by Ramanujan.

• Published: Austral. Math. Soc. Gaz. 20 (1993), no. 5, 149-155
• MR 95b:33006

A.V. Isaev (CMA-MR3-93)

Behaviour of holomorphic sectional curvature of canonical Kahler-Einstein metric near strictly pseudoconvex boundary points of certain Reinhardt domains.

Charles J.K. Batty, Ola Bratteli, Palle E.T. Jorgensen and Derek W. Robinson (CMA-MR4-93)

Asymptotics of periodic subelliptic operators.

• Published: J. Geom. Anal. 5 (1995), no. 4, 427-443
• MR 97f:35028

C. Zoppou, Stephen Roberts (CMA-MR5-93)

Simulation techniques in water quality modelling.

Walter Simon (CMA-MR6-93)

A class of static perfect fluid solutions.

• Published: Gen. Relativity Gravitation 26 (1994), no. 1, 97-101
• MR 94m:83016

Geoff A. Latham, Robert S. Anderssen (CMA-MR7-93)

On the stabilisation inherent in the EMS algorithm.

• Published: Inverse Problems 10 (1994), no. 1, 161-183
• MR 95e:65041

Christopher T. Lenard (CMA-MR8-93)

Relating Newton's method to projection methods for eigenvalue problems.

• Published: Appl. Math. Lett. 6 (1993), no. 4, 3-4

Yi Fang (CMA-MR9-93)

On the Gauss map of complete minimal surfaces with finite total curvature.

• Download paper (31K gzipped DVI file)
• Published: Indiana Univ. Math. J. 42 (1993), no. 4, 1389-1411
• MR 95b:53009

Yi Fang (CMA-MR10-93)

On minimal annuli in a slab.

• Download paper (20K gzipped DVI file)
• Published: Comment. Math. Helv. 69 (1994), no. 3, 417-430
• MR 95f:53014

Neil Trudinger (CMA-MR11-93)

Isoperimetric inequalities for Quermassintegrals

• Published: Ann. Inst. H. Poincaré Anal. Non Linéaire 11 (1994), no. 4, 411-425
• MR 95k:52013

Geoff A. Latham (CMA-MR12-93)

Existence of EMS solutions and a priori estimates.

• Published: SIAM J. Matrix Anal. Appl. 16 (1995), no. 3, 943-953
• MR 96c:15035

David L. Harrar II (CMA-MR13-93)

Optimum generalized m-step SSORT preconditioning: numerically-based arguments

A.F.M. ter Elst, Derek W. Robinson (CMA-MR14-93)

Weighted strongly elliptic operators on Lie groups.

• Published: J. Funct. Anal. 125 (1994), no. 2, 548-603
• MR 96j:22014

Ben Andrews (CMA-MR15-93)

Contraction of convex hypersurfaces in Riemannian spaces.

• Published: J. Differential Geometry 39 (1994), 407-431
• MR 95b:53044

Ben Andrews (CMA-MR16-93)

Entropy estimates for evolving hypersurfaces.

• Published: Comm. Anal. Geom. 2 (1994), no. 1, 53-64
• MR 96e:58036

Ben Andrews (CMA-MR17-93)

Aleksandrov-Fenchel inequalities and curvature flows.

Tim Cranny (CMA-MR18-93)

Regularity of viscosity solutions of fully nonlinear degenerate elliptic equations.

Alexander Molev (CMA-MR19-93)

Gelfand-Tsetlin basis for representations of Yangians.

• Published: Lett. Math. Phys. 30 (1994), no. 1, 53-60
• MR 94m:17018

Pascal Auscher, A.F.M. ter Elst, Derek W. Robinson (CMA-MR20-93)

On positive Rockland operators.

• Published: Colloq. Math. 67 (1994), no. 2, 197-216
• MR 96i:43008

Gaven J. Martin (CMA-MR21-93)

Triangle subgroups of Kleinian Groups.

• Published: Comment. Math. Helv. 71 (1996), no. 3, 339-361
• MR 97g:57016

Gaven J. Martin (CMA-MR22-93)

The persistence of angle.

• Published: New Zealand J. Math. 23 (1994), no. 1, 77-82
• MR 95g:30061

F.W. Gehring, Gaven J. Martin (CMA-MR23-93)

Chebyshev polynomials and discrete groups.

• Published: Proceedings of the Conference on Complex Analysis (Tianjin, 1992), 114-125, Conf. Proc. Lecture Notes Anal., I, Internat. Press, Cambridge, MA, 1994
• MR 96j:30061

A. Hinkkanen, Gaven J. Martin (CMA-MR24-93)

The dynamics of semigroups of rational functions I.

• Published: Proc. London Math. Soc. (3) 73 (1996), no. 2, 358-384
• MR 97e:58198

A. Hinkkanen, Gaven J. Martin (CMA-MR25-93)

Julia sets of rational semigroups.

• Published: Math. Z. 222 (1996), no. 2, 161-169
• MR 98d:30038

A. Hinkkanen, Gaven J. Martin (CMA-MR26-93)

On irrational rotations in convergence groups of the 2-sphere.

• Published: Indian J. Math. 36 (1994), no. 1, 37-47
• MR 96h:30026

A. Hinkkanen, Gaven J. Martin (CMA-MR27-93)

A functional equation arising in the theory of convergence groups.

• Published: New Zealand J. Math. 23 (1994), no. 2, 125-135
• MR 96d:39007

A. Hinkkanen, Gaven J. Martin (CMA-MR28-93)

Abelian nondiscrete convergence groups in the plane.

• Published: Ann. Acad. Sci. Fenn. Ser. A I Math. 19 (1994), no. 2, 205-246
• MR 95h:30021

F.W. Gehring, Gaven J. Martin (CMA-MR29-93)

Commutators, collars and the geometry of Moebius groups

• Published: J. Anal. Math. 63 (1994), 175-219
• MR 96c:30040

F.W. Gehring (CMA-MR30-93)

Discrete groups with real parameters.

M. Thamban Nair (CMA-MR31-93)

On spectral properties of perturbed operators.

• Published: Proc. Amer. Math. Soc. 123 (1995), no. 6, 1845-1850
• MR 95g:47022

Shihong Yu (CMA-MR32-93)

On the optimality of iterative maximum penalized likelihood algorithms for ridge regression.

• Published: Appl. Math. Lett. 7 (1994), no. 4, 35-39
• MR 96e:62121

Zbigniew Leyk (CMA-MR33-93)

Modified generalized conjugate residuals method for nonsymmetric systems of linear equations.

David L. Harrar II (CMA-MR34-93)

An efficient multistep SSOR preconditioned conjugate gradient method for the solution of red\black systems on vector and parallel supercomputers.

M.R. Osborne (CMA-MR35-93)

A modified barrier function method for linear programming.

• Published: Advances in optimization and approximation, 247-255, Nonconvex Optim. Appl., 1, Kluwer Acad. Publ., Dordrecht, 1994

A.J. Cleary and M.R. Osborne (CMA-MR36-93)

Eigenvalue solvers for large problems.

Chris Zoppou and Stephen Roberts (CMA-MR37-93)

Simulation techniques for the advection equation.

M.R. Osborne and Audrey M. Tan (CMA-MR38-93)

An inverse problem associated with sound channel propagation.

David E. Stewart (CMA-MR39-93)

Hierarchial methods for approximate inertial manifolds.

Suely Oliveira (CMA-MR40-93)

A parallel multilevel algorithm for anisotropic transport equations.

C.R. Dietrich, M.R. Osborne (CMA-MR41-93)

Efficient computation of the restricted maximum likelihood function and its gradient for variance estimation of a stationary gaussian random field sampled over a regular grid.

F.W. Gehring, G.J. Marten (CMA-MR42-93)

On the minimal volume hyperbolic 3-orbifold

• Published: Math. Res. Lett. 1 (1994), no. 1, 107-114
• MR 95b:30072

Santhosh George, M. Thamban Nair (CMA-MR43-93)

On a generalized Arcangeli's method for Tikhonov regularization with inexact data.

• Published: Numer. Funct. Anal. Optim. 19 (1998), no. 7-8, 773-787
• MR 99g:65071

S. Yu, G.A. Latham, and R.S. Anderssen (CMA-MR44-93)

Two-stage iteration for maximum penalized likelihood estimation.

Nicola Fusco, John Hutchinson (CMA-MR45-93)

A direct proof for lower semicontinuity of polyconvex functionals.

• Published: Manuscripta Math. 87 (1995), no. 1, 35-50
• MR 96f:49020

Gaven J. Martin (CMA-MR46-93)

Measurable conformal mappings in space.

• Published: Miniconference on Analysis and Applications (Brisbane, 1993), 145-165, Proc. Centre Math. Appl. Austral. Nat. Univ., 33, Austral. Nat. Univ., Canberra, 1994 as "Measurable conformal mappings in space (the regularity theory of quasiregular mappings)"
• MR 96i:30014

Ben Andrews (CMA-MR47-93)

Contraction of convex hypersurfaces by their affine normal.

• Published: J. Differential Geom. 43 (1996), no. 2, 207-230
• MR 97m:58045

A.V. Isaev (CMA-MR48-93)

The images of levi-nondegenerate manifolds under holomorphic mappings.

• Published: Complex Variables Theory Appl. 27 (1995), no. 3, 217-233
• MR 96b:32023

C.R. Dun, R.S. Anderssen (CMA-MR49-93)

Algebraic correction methods for inverse Sturm-Liouville problems.

• Download paper (40K gzipped PS file)

Markus Hegland, Mike Osborne (CMA-MR50-93)

Boundary equation methods for linear systems of equations.

• Download paper (18K gzipped DVI file)

Markus Hegland (CMA-MR51-93)

On some block algorithms for fast Fourier transforms.

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Huy-Qui Bui (CMA-MR52-93)

Weighted Young's inequality and convolution theorems on weighted Besov spaces.

• Published: Math. Nachr. 170 (1994), 25-37
• MR 95i:46038

Alexander Molev, Maxim Nazarov, Grigori Olshanskii (CMA-MR53-93)

Yangians and classical Lie algebras

• Published: Uspekhi Mat. Nauk 51 (1996), no. 2(308),27-104
• Translation: Russian Math. Surveys 51 (1996), no. 2, 205-282
• MR 97f:17019

C.R. Dun and R.S. Anderssen (CMA-MR54-93)

A modificiation of Paine's algebraic correction method for inverse Sturm-Liouville problems.

Brian Davies (CMA-MR55-93)

Infinite dimensional symmetry of corner transfer matrices.

• Published: Confronting the infinite (Adelaide, 1994), 175-192, World Sci. Publishing, River Edge, NJ, 1995
• MR 97j:82027

Mi Lin, Neil S. Trudinger (CMA-MR56-93)

On some inequalities for elementary symmetric functions.

• Published: Bull. Austral. Math. Soc. 50 (1994), no. 2, 317-326
• MR 95i:26036

John Urbas (CMA-MR57-93)

Nonlinear oblique boundary value problems for two-dimensional curvature equations.

• Published: Adv. Differential Equations 1 (1996), no. 3, 301-336
• MR 97e:35067

Zbigniew Leyk (CMA-MR58-93)

An implementation of the modified generalized conjugate gradient method.