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Dundee University Numerical Analysis Reports, 1984-

Last update: Nov 2016

Report Number: NA/61 (1982)
R Fletcher
Semi-definite matrix constraints in optimization
File: NA61.pdf
Report Number: NA/79 (1984)
M Al-Baali
On the Fletcher-Reeves method
File:
Report Number: NA/80 (1984)
A R Mitchell and V S Manoranjan
Numerical Studies of Bifurcation and Pulse Evolution in Mathematical Biology
File:
Report Number: NA/81 (1984)
R Fletcher
An $\ell_1$ Penalty Method for Nonlinear Constraints
File:
Report Number: NA/82 (1984)
R Fletcher
Cancellation Errors in Quasi-{N}ewton Methods
File:
Report Number: NA/83 (1984)
D F Griffiths and J M Sanz-Serna
On the Scope of the Method of Modified Equations
File:
Report Number: NA/84 (1984)
G A Watson
On a class of algorithms for total approximation
File:
Report Number: NA/85 (1985)
J D Lambert
On a stable sequence of steplengths for Euler's rule applied to stiff systems of differential equations
File:
Report Number: NA/86 (1985)
G A Watson
The solution of generalized least squares problems
File:
Report Number: NA/87 (1985)
D M Sloan and A R Mitchell
On nonlinear instabilities in leap-frog finite difference schemes
File:
Report Number: NA/88 (1985)
A R Mitchell and D F Griffiths
Beyond the linearised stability limit in nonlinear problems
File:
Report Number: NA/89 (1985)
R Fletcher
Degeneracy in the presence of round-off errors
File:
Report Number: NA/90 (1985)
G A Watson
Data fitting by positive sums of exponentials
File:
Report Number: NA/91 (1985)
I M Snyman
Variational methods and time dependent problems: an investigation of a linear case
File:
Report Number: NA/92 (1985)
R Fletcher and C Xu
Hybrid Methods for Nonlinear Least Squares
File:
Report Number: NA/93 (1986)
A R Mitchell,P John-Charles and B D Sleeman
Long Time Calculations and Non Linear Maps
File:
Report Number: NA/94 (1986)
R Fletcher
Recent Developments in Linear and Quadratic Programming
File:
Report Number: NA/95 (1986)
I B Stewart and K Unsworth
A Petrov-Galerkin Method for the Numerical Solution of the Bradshaw-Ferriss-Atwell Turbulence Model
File:
Report Number: NA/96 (1986)
G A Watson
Methods for Best Approximation and Regression Problems
File:
Report Number: NA/97 (1986)
J D Lambert
Developments in Stability Theory for Ordinary Differential Equations
File:
Report Number: NA/98 (1986)
Y Tourigny and J Ll Morris
An Investigation into the Effect of Product Approximation in the Numerical Solution of the Cubic Nonlinear Schrodinger Equation
File:
Report Number: NA/99 (1987)
Y Tourigny
Product Approximation for Two Nonlinear Klein-Gordon Equations
File:
Report Number: NA/100 (1987)
R Fletcher and E Sainz de la Maza
Nonlinear Programming and Nonsmooth Optimization by Successive Linear Programming
File:
Report Number: NA/101 (1987)
G A Watson
A method for the Chebyshev Solution of an overdetermined system of complex linear equations
File:
Report Number: NA/102 (1987)
E S Fraga and J Ll Morris
An adaptive Mesh Refinement Method for the Korteweg de Vries Equation
File:
Report Number: NA/103 (1987)
A R Mitchell and Lynn B Reid
A {G}alerkin Method with Quadrature for Non Linear Parabolic Equations in Population Genetics
File:
Report Number: NA/104 (1987)
Felix M Arscott
Some Analytical Techniques for the Computation of Recessive Solutions on Linear Differential Equations
File:
Report Number: NA/105 (1987)
E S Fraga and J Ll Morris
An adaptive Mesh Refinement method for the nonlinear Schrodinger equation
File:
Report Number: NA/106 (1987)
E S Fraga and J Ll Morris
A piecewise uniform adaptive grid method for nonlinear dispersive wave equations
File:
Report Number: NA/107 (1987)
A R Mitchell and S Herring
The Numerical Analysis of Non-linear Dispersive Waves
File:
Report Number: NA/108 (1987)
G A Watson
The Smallest perturbation of a submatrix which lowers the rank of a matrix
File:
Report Number: NA/109 (1987)
S W Schoombie
A discrete multiple scales analysis of a discrete version of the Korteweg de Vries equation
File:
Report Number: NA/110 (1987)
Y Tourigny and J LI Morris and J M Sanz-Serna
Finite-Element Solutions of a Radial Nonlinear Schrodinger Equation in Two Spatial Dimensions
File:
Report Number: NA/111 (1987)
D F Griffiths
The Dynamics of some Linear Multistep Methods with Step-Size Control
File:
Report Number: NA/112 (1987)
Y Tourigny and J M Sanz-Serna and J LI Morris
Convergence Estimates for the Finite-Element Approximation of Problems with Radial Symmetry
File:
Report Number: NA/113 (1988)
D F Griffiths and A R Mitchell
Stable Periodic Solutions of a Nonlinear Partial Difference Equation in Reaction Diffusion
File:
Report Number: NA/114 (1988)
R Fletcher
A First Derivative Method for Nonlinear Programming based on Successive $\ell_1$ LP
File:
Report Number: NA/115 (1988)
Y Tourigny and E S Fraga and J LI Morris and A R Mitchell
Self-focussing of Solitary Waves in a Three-dimensional Optical Medium
File:
Report Number: NA/116 (1988)
G A Watson
Numerical Methods for Chebyshev Approximation of Complex-Valued Functions
File:
Report Number: NA/117 (1988)
R Fletcher
Low Storage Methods for Unconstrained Optimization
File:
Report Number: NA/118 (1988)
P J Harley and J D Lambert
A Fourth-Order Runge-Kutta Algorithm Based on a New Error Estimate
File:
Report Number: NA/119 (1989)
R Fletcher
A new variational result for quasi-Newton formulae
File:
Report Number: NA/120 (1989)
R Fletcher
Towards reliable linear programming
File:
Report Number: NA/121 (1989)
G A Watson
On a general class of matrix nearness problems
File:
Report Number: NA/122 (1990)
A R Mitchell and B A Murray and B D Sleeman
Numerical solution of {H}amiltonian systems in reaction-diffusion by symplectic difference schemes
File:
Report Number: NA/123 (1990)
R Fletcher
Recent developments in methods for non linear programming
File:
Report Number: NA/124 (1990)
G A Watson
An algorithm for optimal $\ell_2$ scaling
File:
Report Number: NA/125 (1990)
D F Griffiths and J M Sanz-Serna
Semilocal results for the algebraic equations of implicit Runge-Kutta processes
File:
Report Number: NA/126 (1990)
G A Watson
Algorithms for minimum trace factor analysis
File:
Report Number: NA/127 (1990)
R Fletcher and J A J Hall and W R Johns
Flexible Retrofit Design of Multiproduct Batch Plants
File:
Report Number: NA/128 (1990)
D F Griffiths and A R Mitchell
Spurious Behaviour and Nonlinear Instability in Discretised Partial Differential Equations
File:
Report Number: NA/129 (1991)
D J Higham
Error control for initial value problems with discontinuities and delays
File:
Report Number: NA/130 (1991)
D Pathria and J Ll Morris
Split-step Fourier methods for nonlinear Schrodinger equations
File:
Report Number: NA/131 (1991)
R Fletcher and J A J Hall
Ordering algorithms for irreducible sparse linear systems
File:
Report Number: NA/132 (1991)
G A Watson
Minimizing a smooth function plus the sum of the $k$ largest eigenvalues of a symmetric matrix
File:
Report Number: NA/133 (1991)
D J Higham
The tolerance proportionality of adaptive ODE solvers
File:
Report Number: NA/134 (1991)
S G Bartels and D J Higham
The structured sensitivity of Vandermonde-like systems
File:
Report Number: NA/135 (1991)
R Fletcher
Resolving degeneracy in quadratic programming
File:
Report Number: NA/136 (1992)
A R Gardiner and A R Mitchell
Bifurcation studies in long time solutions of discrete mode in reaction diffusion
File:
Report Number: NA/137 (1992)
A R Gardiner and A R Mitchell
Periodic bifurcations of an explicit discretisation of the Ginzburg-Landau equation
File:
Report Number: NA/138 (1992)
D J Higham
Runge-Kutta Stability on a Floquet Problem
File:
Report Number: NA/139 (1992)
A R Gardiner and A R Mitchell
Unstable attractors of a discretised inviscid Burgers equation
File:
Report Number: NA/140 (1992)
G A Watson
Linear best approximation using a class of polyhedral norms
File:
Report Number: NA/141 (1992)
R Fletcher and S Leyffer
Solving mixed integer nonlinear programs by outer approximation
File:
Report Number: NA/142 (1992)
A R Gardiner and A R Mitchell
The influence of dispersion on the inviscid Burgers equation
File:
Report Number: NA/143 (1992)
D J Higham
Condition numbers and their condition numbers
File:
Report Number: NA/144 (1992)
G. A. Watson
The solution of matrix approximation problems with Ky Fan $k$ norms
File:
Report Number: NA/145 (1992)
R. Fletcher
An optimal positive definite update for sparse Hessian Matrices
File:
Report Number: NA/146 (1992)
D.J. Higham and I. Th. Famelis
Stability of adaptive algorithms for delay differential equations
File:
Report Number: NA/147 (1993)
D.J. Higham
The dynamics of variable stepsize Runge-Kutta algorithms
File:
Report Number: NA/148 (1993)
D.J. Higham
The dynamics of a discretised nonlinear delay differential equation
File:
Report Number: NA/149 (1993)
R. Fletcher
An overview of unconstrained optimization
File: NA149_RF.pdf
Report Number: NA/150 (1994)
G.A. Watson
Estimating Hadamard operator norms,with application to triangular truncation
File: NA149_RF.pdf
Report Number: NA/151 (1994)
Roger Fletcher and Sven Leyffer
Computing lower bounds for MIQP branch-and-bound
File: NA149_RF.pdf
Report Number: NA/152 (1994)
M. Calvo and D.J. Higham and J.I. Montijano and L. Randez
Stepsize selection for tolerance proportionality in explicit Runge-Kutta codes
File: NA149_RF.pdf
Report Number: NA/153 (1994)
M. Calvo and D.J. Higham and J.I. Montijano and L. Randez
Global Error Estimation with Adaptive Explicit Runge-Kutta Methods
File: NA149_RF.pdf
Report Number: NA/154 (1994)
R. Fletcher
Steepest Edge,Degeneracy and Conditioning in LP
File: NA154_RF.pdf
Report Number: NA/155 (1994)
M. A. Aves and D. F. Griffiths and D. J. Higham
Does Error Control Suppress Spuriosity?
File: NA155_MAA_DFG_DJH.pdf
Report Number: NA/156 (1994)
D.J. Higham and T. Sardar
Existence and Stability of Fixed Points for a Discretised Nonlinear Reaction-Diffusion Equation with Delay
File: NA156_DJH.pdf
Report Number: NA/157 (1995)
S. Al-Homidan and R. Fletcher
Hybrid methods for finding the nearest Euclidean distance matrix
File: NA156_DJH.pdf
Report Number: NA/158 (1995)
Huifu Xu
Approximate Newton methods for nonsmooth equations
File: NA156_DJH.pdf
Report Number: NA/159 (1995)
Huifu Xu
A new version of Newton's method for nonsmooth equations
File: NA156_DJH.pdf
Report Number: NA/160 (1995)
Huifu Xu
A point based set valued approximation and Newton type methods
File: NA156_DJH.pdf
Report Number: NA/161 (1995)
David F. Griffiths and Desmond J. Higham
Abstracts of 16th Dundee Biennial Numerical Analysis Conference,27 June--30 June
File: NA161_DFG_DJH.pdf
Report Number: NA/162 (1995)
Desmond J. Higham
Time-stepping and preserving orthonormality
File: NA161_DFG_DJH.pdf
Report Number: NA/163 (1995)
David F Griffiths
The ``No Boundary Condition'' Outflow Boundary Condition
File: NA163_DFG.pdf
Report Number: NA/164 (1995)
Roger Fletcher and Andreas Grothey and Sven Leyffer
Computing sparse Hessian and Jacobian approximations with optimal hereditary properties
File: NA164_RF_AG_SL.pdf
Report Number: NA/165 (1995)
David F Griffiths
Discretised Eigenvalue Problems,LBB Constants and Stabilization
File: NA165_DFG.pdf
Report Number: NA/166 (1995)
M. A. Aves and P. J. Davies and D. J. Higham
The effect of quadrature on the dynamics of a discretised nonlinear integro-differential equation
File: NA165_DFG.pdf
Report Number: NA/167 (1995)
Roger Fletcher and Tom Johnson
On the Stability of Null-Space Methods for KKT Systems
File: NA167_RF.pdf
Report Number: NA/168 (1996)
D.J. Higham
Runge-Kutta type methods for orthogonal integration
File: NA167_RF.pdf
Report Number: NA/169 (1996)
D.J. Higham
The reliability of standard local error control algorithms for initial value ordinary differential equations
File: NA167_RF.pdf
Report Number: NA/170 (1996)
Roger Fletcher and Tom Johnson
Dense Factors of Sparse Matrices
File: NA170_RF.pdf
Report Number: NA/171 (1996)
Roger Fletcher and Sven Leyffer
Nonlinear Programming without a Penalty Function
File: NA171_RF_SL.pdf
Report Number: NA/172 (1996)
G. A. Watson and Chunyang He
An algorithm for computing the numerical radius
File: NA172_GAW_CH.pdf
Report Number: NA/173 (1996)
G. A. Watson
Aspects of approximation with emphasis on the univariate case
File: NA173_GAW.pdf
Report Number: NA/174 (1997)
D. Hermey and G. A. Watson
Fitting data with errors in all variables using the Huber M-estimator
File: NA174_DH_GAW.pdf
Report Number: NA/175 (1997)
Richard J. Wain
Spurious Fixed Points of a Variable Step Size,Variable Order, Predictor Corrector Algorithm
File: NA175_RJW.pdf
Report Number: NA/176 (1997)
Penny J. Davies and David F. Griffiths and Desmond J. Higham
Abstracts of 17th Dundee Biennial Numerical Analysis Conference, 24 June--27 June
File: NA176_PJD_DFG_DJH.pdf
Report Number: NA/177 (1997)
Roger Fletcher
Block Triangular Orderings and Factors for Sparse Matrices
File: NA177_RF.pdf
Report Number: NA/178 (1997)
Sven Leyffer
Generalized Outer Approximation
File: NA178_SL.pdf
Report Number: NA/181 (1998)
Roger Fletcher and Sven Leyffer
User manual for {filterSQP
File: NA181_RF_SL.pdf
Report Number: NA/182 (1998)
Sven Leyffer
Integrating {SQP} and branch-and-bound for Mixed Integer Nonlinear Programming
File: NA182_SL.pdf
Report Number: NA/183 (1998)
Roger Fletcher and Sven Leyffer and Phillipe L. Toint
On the global convergence of an {SLP}-filter algorithm
File: NA183_RF_SL_PT.pdf
Report Number: NA/184 (1998)
G. A. Watson
Least squares fitting of circles and ellipses to measured data
File: NA184_GAW.pdf
Report Number: NA/185 (1998)
G. A. Watson
Algorithms for Computing the Distance to Instability
File: NA185_GAW.pdf
Report Number: NA/186 (1998)
A. Gerisch and D. F. Griffiths and R. Weiner and M. A. J. Chaplain
Splitting Methods for Mixed Hyperbolic-Parabolic Systems
File: NA186_AGetal.pdf
Report Number: NA/187 (1999)
Roger Fletcher
Stable Reduced Hessian Updates for Indefinite Quadratic Programming
File: NA187_RF.pdf
Report Number: NA/188 (1999)
A. Grothey and S. Leyffer and K.I.M. McKinnon
A note on feasibility in Benders Decomposition
File: NA188_AG_SL_KM.pdf
Report Number: NA/189 (1999)
G. J. Barclay and D. F. Griffiths and D. J. Higham
Theta Method Dynamics
File: NA189_GJB_DFG_DJH.pdf
Report Number: NA/190 (1999)
David F. Griffiths
Abstracts of 18th {D}undee {B}iennial {N}umerical {A}nalysis {C}onference, 29 {J}une--2 {J}uly
File: NA190_DFG.pdf
Report Number: NA/191 (1999)
Roger Fletcher and W. Morton
Initializing Distillation Column Models
File: NA191_RF.pdf
Report Number: NA/192 (1999)
D. F. Griffiths and D. J. Higham
MacCormack's Method for Advection-Reaction Equations
File: NA192_DFG_DJH.pdf
Report Number: NA/193 (1999)
G. A. Watson
Solving data fitting problems in $l_p$ norms with bounded uncertainties in the data
File: NA193_GAW.pdf
Report Number: NA/194, Rev (2000)
G. A. Watson
Least squares fitting of parametric surfaces to measured data
File: NA194_GAW.pdf
Report Number: NA/195 (2000)
Roger Fletcher and Sven Leyffer
A bundle filter method for nonsmooth nonlinear optimization
File: NA195_RF_SL.pdf
Report Number: NA/196 (2000)
G. A. Watson
Approximation in normed linear spaces: a history of numerical methods
File: NA196_GAW.pdf
Report Number: NA/197 (2000)
Roger Fletcher and Sven Leyffer and Philippe L. Toint
On the Global Convergence of a Filter-SQP Algorithm
File: NA197.pdf
Report Number: NA/198 (2001)
D. F. Griffiths and D. J. Higham and A. B. Ross
Equidistributing Grids
File: NA198_DFG_DJH.pdf
Report Number: NA/199 (2001)
C.M. Chin and R. Fletcher
On the Global Convergence of an SLP-Filter Algorithm that takes EQP steps
File: NA199_EC_RF.pdf
Report Number: NA/200 (2001)
Jean-Pierre Goux and Sven Leyffer
Solving large MINLPs on computational grids
File: NA200_JPG_SL.pdf
Report Number: NA/201 (2001)
David F. Griffiths and G. Alistair Watson
Abstracts of 19th Dundee Biennial Numerical Analysis Conference, 26-29 {J}une, 2001
File: NA201_DFG.pdf
Report Number: NA/202 (2001)
Choong Ming Chin and Roger Fletcher
Numerical performance of an SLP-filter algorithm that takes EQP steps
File: NA202_CMC_RF.pdf
Report Number: NA/203 (2001)
Choong Ming Chin
Numerical results of SLPSQP, filterSQP and LANCELOT on selected CUTE test problems
File: NA203_CMC.pdf
Report Number: NA/204 (2001)
Roger Fletcher and Sven Leyffer
Filter-type Algorithms for Solving Systems of Algebraic Equations and Inequalities
File: NA204_RF_SL.pdf
Report Number: NA/205 (2001)
G. A. Watson
Robust solutions to linear approximation problems under ellipsoidal uncertainty
File: NA205_GAW.pdf
Report Number: NA/206 (2001)
G. A. Watson
On the Gauss-Newton method for $l_1$ orthogonal distance regression
File: NA206_GAW.pdf
Report Number: NA/207 (2001)
Roger Fletcher
On the Barzilai-Borwein method
File: NA207_RF.pdf
Report Number: NA/208 (2002)
Sven Leyffer
The Penalty Interior Point Method fails to converge for Mathematical Programs with Equilibrium Constraints
File:
Report Number: NA/209 (2002)
Roger Fletcher and Sven Leyffer and Danny Ralph and Stefan Scholtes
Local convergence of SQP methods for Mathematical Programs with Equilibrium Constraints
File: NA209_RF.pdf
Report Number: NA/210 (2002)
Roger Fletcher and Sven Leyffer
Numerical experience with solving MPECs as NLPs
File: NA210_RF.pdf
Report Number: NA/211 (2002)
N.T. Trendafilov and G.A. Watson
The $l_1$ oblique Procrustes problem
File:
Report Number: NA/212 (2003)
Yu-Hong Dai and Roger Fletcher
On the asymptotic behaviour of some new gradient methods
File: NA212_RF.pdf
Report Number: NA/213 (2003)
David F. Griffiths and G. Alistair Watson
Abstracts of 20th Dundee Biennial Numerical Analysis Conference, 24-27 June, 2003
File: NA212_RF.pdf
Report Number: NA/214 (2002)
G.A. Watson
Robust solutions to a general class of approximation problems
File: NA214_GAW.pdf
Report Number: NA/215 (2003)
Yu-Hong Dai and Roger Fletcher
Projected Barzilai-Borwein Methods for Large-Scale Box-Constrained Quadratic Programming
File: NA215_RF.pdf
Report Number: NA/216 (2003)
Yu-Hong Dai and Roger Fletcher
New Algorithms for Singly Linearly Constrained Quadratic Programs Subject to Lower and Upper Bounds
File: NA216_RF.pdf
Report Number: NA/217 (2003)
David F. Griffiths and G. Alistair Watson
Proceedings of the 20th Dundee Biennial Numerical Analysis Conference, 24-27 June, 2003
File: NA217_DFG.pdf
Report Number: NA/218 (2003)
A. Atieg and G A Watson
Fitting Circular Arcs by Orthogonal Distance Regression
File: NA218.pdf
Report Number: NA/219 (2003)
A. Atieg and G A Watson
Incomplete Orthogonal Distance Regression
File: NA219.pdf
Report Number: NA/220 (2004)
Yu-Hong Dai
Fast Algorithms for Projection on an Ellipsoid
File: NA220_YHD.pdf
Report Number: NA/221 (2005)
I. Al-Subaihi and G A Watson
The use of the $l_1$ and $l_\infty$ norms in fitting parametric curves and surfaces to data
File: NA221.pdf
Report Number: NA/222 (2005)
David F. Griffiths and G. Alistair Watson
Abstracts of the 21st Dundee Biennial Numerical Analysis Conference, 28 June-1 July, 2005
File: NA222_DFG.pdf
Report Number: NA/223 (2005)
Roger Fletcher
A New Low Rank Quasi-Newton Update Scheme for Nonlinear Programming
File: NA223_RF.pdf
Report Number: NA/224 (2005)
I. Al-Subaihi and G. A. Watson
Fitting parametric curves and surfaces by $l_\infty$ distance regression
File: NA224.pdf
Report Number: NA/225 (2005)
I. Al-Subaihi and G. A. Watson
An algorithm for matching points sets using the $l_1$ norm
File: NA225.pdf
Report Number: NA/225 (2005)
I. Al-Subaihi and G. A. Watson
An algorithm for matching points sets using the $l_1$ norm
File: NA225.pdf
Report Number: NA/227 (2008)
G. A. Watson
The history and development of numerical analysis in Scotlandd}: a personal perspective
File: NA227.pdf
Report Number: NA/228 (2008)
Ping Lin
Energy law preserving $C^0$ finite element schemes for a couple of phase field models in two-phase flow computations
File: NA228.pdf