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Centre for Mathematics and Its Applications
Mathematics Research Reports 1999


Yoshihiro Tonegawa (MRR99-001)
Some remarks on the level set flow by anisotropic curvature

Denis A. Labutin (MRR99-002)
Isolated Singularities of Solutions of Fully Nonlinear Elliptic Equations

R.M. Bryant, L.G. Kovács and Ralph Stöhr (MRR99-003)
Free Lie algebras as modules for symmetric groups

K.W. Gruenberg and L.G. Kovács (MRR99-004)
Proficient presentations and direct products of finite groups

Nick Dungey, A.F.M. ter Elst and Derek W. Robinson (MRR99-005)
Asymptotics of sums of subcoercive operators

Geoffrey B. Campbell (MRR99-006)
A New Class of Identities akin to q-Series in Several Variables

Andrew Hassell and Steve Zelditch (MRR99-007)
Determinants of Laplacians in exterior domains

John E. Hutchinson and Yoshihiro Tonegawa (MRR99-008)
Convergence of phase interfaces in the Van der Waals-Cahn-Hilliard theory

Min-Chun Hong (MRR99-009)
Heat flow for the Yang-Mills-Higgs field and the Hermitian-Yang-Mills-Higgs metric

John E. Hutchinson and Ludger Rüschendorf (MRR99-010)
Selfsimilar fractals and selfsimilar random fractals

R.J. Loy, C.J. Read, V. Runde and G.A. Willis (MRR99-011)
Amenable and weakly amenable Banach algebras with compact multiplication

Denis A. Labutin (MRR99-012)
Pluripolarity of Sets with Small Hausdorff Measure

H.E. Boos and V.V. Mangazeev (MRR99-013)
Bethe ansatz for the three-layer Zamolodchikov model

Owen Jones (MRR99-014)
Multivariate Böttcher equation for polynomials with non-negative coefficients

H. F. Petersons and S.-A. Gustafson (MRR99-015)
An Estimation of the Variation in the Depth of the Sharp Rise in Conductivity Beneath Europe

A.F.M. ter Elst, Derek W. Robinson and Adam Sikora (MRR99-016)
On second-order periodic elliptic operators in divergence form

Nick Dungey (MRR99-017)
Sharp constants in higher-order heat kernel bounds

B.H. Neumann (MRR99-019)
Some semigroup laws in groups

Neil S. Trudinger, Xu-Jia Wang (MRR99-020)
The Bernstein problem for affine maximal hypersurfaces

Thanh Tran, Ernst P. Stephan (MRR99-021)
Two-Level Additive Schwarz Preconditioners for the h-p Version

M.F. Newman, Csaba Schneider, Aner Shalev (MRR99-022)
The entropy of graded algebras

Ben Andrews (MRR99-023)
Volume-preserving anisotropic mean curvature flow

Thanh Tran (MRR99-024)
Remark on a Quadrature Formula for a Hypersingular Integral

A. Caranti, M.F. Newman (MRR99-025)
Graded Lie Algebras of Maximal Class. II

Alexander V. Isaev, Steven G. Krantz (MRR99-026)
On the Automorphism Groups of Hyperbolic Manifolds

Amnon Neeman (MRR99-027)
An improvement on a theorem of Ben Martin

R. A. Bryce, V. Fedri and L. Serena (MRR99-028)
Subgroup coverings of some linear groups

Brian Davies, Amnon Neeman (MRR99-029)
Algebraic geometry of the three-state chiral Potts model

Martin Ehlers, Lutz Grosz (MRR99-030)
On the Numerical Simulation of Steel Hardening

Lutz Grosz (MRR99-031)
How to Vectorize the Algebraic Multi-level Iteration

D.L.Harrar II and M.R.Osborne (MRR99-032)
Computational Techniques for Differential Equation Eigenvalue Problems on Vector Processors

David L. Harrar II (MRR99-033)
A Shift-Invert Block Arnoldi Method with Deflation and Adaptive Parameter Selection

M. Avitabile, G. Jurman (MRR99-034)
Diamonds in thin Lie algebras

Denis A. Labutin (MRR99-035)
Removable Singularities for Fully Nonlinear Elliptic Equations

J. Daniel Christensen, Bernhard Keller, Amnon Neeman (MRR99-036)
Failure of Brown representability derived categories

Adam Sikora, James Wright (MRR99-037)
Imaginary powers of Laplace operators

M.R.Osborne (MRR99-038)
On the inversion of sound channel data

Y.L. Xin (MRR99-039)
A rigidity theorem for a space-like graph of higher codimension

Yi Fang, Jenn-Fang Hwang (MRR99-040)
Minimal Surfaces Bounded by Parallel Lines

Amnon Neeman (MRR99-041)
Automorphisms of the Yang-Baxter equations, for the chiral Potts model

A.F.M. ter Elst and Derek W. Robinson (MRR99-042)
On anomalous asymptotics of heat kernels

Denis A. Labutin (MRR99-043)
Potential Estimates for a Class of Fully Nonlinear Elliptic Equations

G.A. Watson (MRR99-044)
Least squares fitting of parametric surfaces to measured data

John Urbas (MRR99-045)
The Second Boundary Value Problem for a Class of Hessian equations

John Urbas (MRR99-046)
An interior second derivative bound for solutions of Hessian equations

David L. Harrar II (MRR99-047)
On the Davidson and Jacobi-Davidson Methods for Large-Scale Eigenvalue Problems

Lutz Grosz (MRR99-048)
Preconditioning by Incomplete Block Elimination
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