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Centre for Mathematics and Its Applications
Mathematics Research Reports, 1995


Ping Guan (MRR95-001)
On the convergence of Gummel mapping for steady state semiconductor equations

Ping Guan (MRR95-002)
Existence, Boundedness And Uniqueness Of Weak Solution For The Thermistor Problem With Mixed Boundary Conditions

Vittorio D. Almazar and John Cossey (MRR95-003)
Polycyclic Products Of Nilpotent Groups

Min-Chun Hong (MRR95-004)
On an open problem of Bethuel, Brezis and Hélein concerning the Ginzburg-Landau functional

V.V. Bazhanov, N.Yu. Reshetikhin (MRR95-005)
Remarks On The Quantum Dilogarithm

Shigeaki Koike (MRR95-006)
Some Remarks On The Bellman Equations With Varying Control

Yoshio Tsutsumi (MRR95-007)
Remark on uniqueness of energy solutions for the Maxwell Schrodinger equations in one space dimension

B.H. Neumann (MRR95-008)
Covering groups by subgroups
  • Published: Groups-Korea '94 (Pusan), 249-250, de Gruyter, Berlin, 1995

L.G. Kovács (MRR95-009)
Finite groups with trivial multiplicator and large deficiency
  • Published: Groups-Korea '94 (Pusan), 211-225, de Gruyter, Berlin, 1995
  • MR 99d:20043

E.A. O'Brien (MRR95-010)
Investigating quotients of finitely-presented groups

L.G. Kovács and Hyo-Seob Sim (MRR95-011)
Nilpotent metacyclic irreducible linear groups of odd order
  • Published: Arch. Math. (Basel) 65 (1995), no. 4, 281-288
  • MR 96g:20008

M.T. Batchelor, R.J. Baxter, M.J. O'Rourke and C.M. Yung (MRR95-012)
Exact Solution And Interfacial Tension Of The Six Vertex Model With Anti Periodic Boundary Conditions

Frank Celler, Charles R. Leedham-Green, Scott H. Murray, Alice C. Niemeyer and E.A. O'Brien (MRR95-013)
Generating random elements of a finite group
  • Published: Comm. Algebra 23 (1995), no. 13, 4931-4948
  • MR 96h:20115

C.M. Yung and M.T. Batchelor (MRR95-014)
Exact solution for the spin-s XXZ quantum chain with non diagonal twists

Yi Fang, Fusheng Wei (MRR95-015)
On Uniqueness Of Riemann's Examples

Joseph F. Grotowski, Jonathan Huntley and Jay Jorgenson (MRR95-016)
Small eigenvalues on degenerating hyperbolic Riemann surfaces

Xuan T. Dong and Derek W. Robinson (MRR95-017)
Semigroup Kernels, Gaussian Bounds And Hormander Functional Calculus

Xuan T. Dong and Derek W. Robinson (MRR95-018)
Semigroup Kernels, Poisson Bounds And Holomorphic Functional Calculus
  • Published: J. Funct. Anal., 142(1):89-128, 1996.

John Hutchinson (MRR95-019)
Deterministic And Random Fractals

Hideki Sawada (MRR95-020)
On quasi-linear modules

Gaven Martin (MRR95-021)
Extension of planar rational maps to mu rational maps in higher dimensions

Tadeusz Iwaniec and Gaven Martin (MRR95-022)
Riesz Transforms And Related Singular Integrals

Victor Bovdi, L.G. Kovács and S.K. Sehgal (MRR95-023)
Symmetric units in modular group algebras
  • Published: Comm. Algebra 24 (1996), no. 3, 803-808
  • MR 97a:16064

David L. Harrar II (MRR95-024)
Efficient SSOR-based polynomial preconditioning of the conjugate gradient method on vector and parallel computers

David L. Harrar II (MRR95-025)
On the acceleration of stencil operations in the data-parallel solution of PDEs

Inge Soderkvist (MRR95-026)
An Algorithm For Kalman Filtering And Smoothing With Diagonal Input Covariance Matrices

Linda Stals (MRR95-027)
Adaptive Multigrid In Parallel

Geoffrey B. Campbell (MRR95-028)
Further Dirichlet series analogues of q-series

Min-Chun Hong (MRR95-029)
Two Estimates Concerning Asymptotics Of The Minimizations Of A Ginzburg-Landau Functional

R.J. Baxter (MRR95-030)
The Superintegrable Chiral Potts Model On Lattices Of Small Width

Hung-Ju Kuo and Neil S. Trudinger (MRR95-031)
Positive Difference Operators On General Meshes

Hung-Ju Kuo and Neil S. Trudinger (MRR95-032)
Maximum Principles For Difference Operators

Inge Soderkvist (MRR95-033)
On Derivation Of Fixed Interval Smoothing Formulas

Timothy R. Cranny (MRR95-034)
On The Existence Of Lipschitz Barriers For Quasilinear Elliptic Equations

Michael R. Osborne (MRR95-035)
Scoring With Constraints

C.M. Yung and M.T. Batchelor (MRR95-036)
O(n) Model On The Honeycombe Lattice Via Reflection Matrices Surface Critical Behaviour

Zbigniew Leyk (MRR95-037)
A C0-Collocation-Like Method For Elliptic Equations On Rectangular Regions

Inge Soderkvist (MRR95-038)
On Filter Algorithms For Computing Least Squares Splines

S.P. Glasby and L.G. Kovács (MRR95-039)
Irredicible modules and normal subgroups of prime index
  • Published: Comm. Algebra 24 (1996), no. 4, 1529-1546
  • MR 97a:20012

O. Bratteli and P.E.T. Jorgensen (MRR95-040)
Endomorphisms Of B(H) II: Finitely Correlated States On On

H.G. Dales and R.J. Loy (MRR95-041)
Uniqueness Of The Norm Topology For Banach Algebras With Finite Dimensional Radical

Alexander I. Molev (MRR95-042)
Laplace Operators For The Lie Algebra Of Skew Symmetric Matrices

M.T. Batchelor and C.M. Yung (MRR95-043)
Surface Critical Behaviour Of The Honeycomb O(n) Loop Model With Mixed Ordinary And Special Boundary Conditions

Olivier Goubet (MRR95-044)
Wavelets And Approximation Of Attractors For Dissipative Evolution Equations

Gerhard Landl and Robert S. Anderssen (MRR95-045)
On the Utility of Non-Negative Differentially Constrained Entropy-like Regularizors

Gaven Martin and Lesley Ward (MRR95-046)
On The Conical Limit Set Of A Complex Hyperbolic Group

John Cossey (MRR95-047)
Automorphisms Fixing Every Subnormal Subgroup Of A Finite Group

A.F.M. ter Elst and Derek W. Robinson (MRR95-048)
Elliptic Operators On Lie Groups

A. V. Isaev and S. G. Krantz (MRR95-049)
On The Type Of A Boundary Orbit Accumulation Point For A Reinhardt Domain C

Timothy R. Cranny (MRR95-050)
On The Behavior Of The Sup And Inf Convolutions Of A Function Near The Boundary

A.F.M. ter Elst and Derek W. Robinson (MRR95-051)
Weighted Subcoercive Operators On Lie Groups

Walter Simon (MRR95-052)
Nuts Have No Hair

Neil S. Trudinger (MRR95-053)
Isoperimetric Inequalities And Nonlinear Elliptic Equations

Min-Chun Hong (MRR95-054)
Some New Examples For Nonuniqueness Of The Evolution Problem Of Harmonic Maps

Geoffrey B. Campbell (MRR95-055)
A Closer Look At Some New Identities

Linzhang Lu and C.E.M. Pearce (MRR95-056)
A Simple Proof And Exploiting Of The Square Root Method To Solve Algebraic Riccati Equations

Linzhang Lu and M.R. Osborne (MRR95-057)
A Generalized Square Root Iteration To Solve The Generalized Algebraic Riccati Equations

M.R. Osborne and G.A. Watson (MRR95-058)
Aspects Of M Estimation And l1 Fitting Problems

Linzhang Lu and W. Sun (MRR95-059)
The Minimal Eigenvalues Of A Class Of Block Tridiagonal Matrices

K.D. Edoh, R.D. Russell and W. Sun (MRR95-060)
Orthogonal Collocation For Hyperbolic PDEs And Computation Of Invariant Tori

Geoff A. Latham and S. Yu (MRR95-061)
N Stage Splitting For Maximum Penalized Likelihood Estimation

Yu-kui Zhou (MRR95-062)
Further Solutions Of Critical ABF RSOS Models

Yu-kui Zhou (MRR95-063)
Fusion Hierarchy And Finite Size Corrections Of Uq[sl(2)]-Invariant Vertex Models With Open Boundaries

Yu-kui Zhou, Paul A. Pearce and Uwe Grimm (MRR95-064)
Fusion Of Dilute AL Lattice Models

Yu-kui Zhou (MRR95-065)
Row transfer matrix functional relations for Baxter's eight-vertex and six-vertex models with open boundaries via more general reflection matrices

Teresa Leyk and Stephen G. Roberts (MRR95-066)
Numerical Solving Of A Free Boundary Phase Field Model Using Krylov Subspace Method

Teresa Leyk and David Stewart (MRR95-067)
Solving Linear And Weakly Nonlinear Parabolic Differential Equations By Krylov Approximation Method

D. E. Stewart and T. S. Leyk (MRR95-068)
Error Estimates For Krylov Subspace Approximations Of Matrix Exponentials

M. T. Batchelor and Y. K. Zhou (MRR95-069)
Surface Critical Phenomena And Scaling In The Eight Vertex Model

Yu-Kui Zhou and M. T. Batchelor (MRR95-070)
Surface Critical Phenomena In Interaction-Round-A-Face Models

Maciej Kocan, Pierpaolo Soravia and Andrzej Swiech (MRR95-071)
On Differential Games For Infinite Dimensional Systems With Nonlinear Unbounded Operators

Maciej Kocan and Pierpaolo Soravia (MRR95-072)
A viscosity approach to infnite-dimensional Hamilton-Jacobi equations arising in optimal control with state constraints

Yu-Kui Zhou and Murray T. Batchelor (MRR95-073)
Exact Solution And Surface Critical Behaviour Of Open Cyclic SOS Lattice Models

S.U. Park (MRR95-074)
Equivalence Of q Bosons Using The Exponential Phase Operator

Frank Duzaar (MRR95-075)
Hypersurfaces With Constant Mean Curvature And Prescribed Area

Michael R. Osborne (MRR95-076)
On Simplicial Methods For Minimizing Piecewise Linear Functions

Jon F. Carlson and Wayne W. Wheeler (MRR95-077)
Homomorphisms In Higher Complexity Quotient Categories

Wayne W. Wheeler (MRR95-078)
Generic Module Theory

Yu-Kui Zhou (MRR95-079)
Fusion Hierarchies with Open Boundaries and Exactly Solvable Models

Alexander Molev (MRR95-080)
Factorial Supersymmetric Functions

Robert S. Anderssen, Ivan G. Gotz and Karl-Heinz Hoffmann (MRR95-081)
The Global Behaviour Of Elasto Plastic Materials With Hysteresis Type State Equations

R.A. Bryce, V. Fedri and L. Serena (MRR95-082)
Covering Groups With Subgroups

Geoffrey B. Campbell (MRR95-083)
Partial Euler Product Dirichlet Series Analogues Of q Series

Geoffrey B. Campbell (MRR95-084)
Further Cases Of Dirichlet Series Analogues Of q Series

M. Hegland and R.S. Anderssen (MRR95-085)
A Mollification Framework For Improperly Posed Problems

W. Sun (MRR95-086)
Fast Algorithms For High Order Spline Collocation Systems

Nina M. Ivochkina, Mi Lin and Neil S. Trudinger (MRR95-087)
The Dirichlet Problem For The Prescribed Curvature Quotient Equations With General Boundary Values

Maciej Kocan and Xu-Jia Wang (MRR95-088)
On The Generalized Stepanov Theorem

M. T. Batchelor, V. Fridkin and Y.-K. Zhou (MRR95-089)
An Ising Model In A Magnetic Field With A Boundary

M. T. Batchelor and B. I. Henry (MRR95-090)
Pattern formation in an etched radial Hele Shaw cell

M. T. Batchelor (MRR95-091)
Reflection Equations And Surface Critical Phenomena

Hideki Sawada (MRR95-092)
A Length Function Of A Finite Coxeter System On Magma
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