Dundee University Numerical Analysis Reports, 1984 Last update: Nov 2016
 Report Number: NA/61 (1982)
 R Fletcher
 Semidefinite matrix constraints in optimization
 File: NA61.pdf
 Report Number: NA/79 (1984)
 M AlBaali
 On the FletcherReeves method
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 Report Number: NA/80 (1984)
 A R Mitchell and V S Manoranjan
 Numerical Studies of Bifurcation and Pulse Evolution in Mathematical Biology
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 Report Number: NA/81 (1984)
 R Fletcher
 An $\ell_1$ Penalty Method for Nonlinear Constraints
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 Report Number: NA/82 (1984)
 R Fletcher
 Cancellation Errors in Quasi{N}ewton Methods
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 Report Number: NA/83 (1984)
 D F Griffiths and J M SanzSerna
 On the Scope of the Method of Modified Equations
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 Report Number: NA/84 (1984)
 G A Watson
 On a class of algorithms for total approximation
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 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
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 Report Number: NA/86 (1985)
 G A Watson
 The solution of generalized least squares problems
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 Report Number: NA/87 (1985)
 D M Sloan and A R Mitchell
 On nonlinear instabilities in leapfrog finite difference schemes
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 Report Number: NA/88 (1985)
 A R Mitchell and D F Griffiths
 Beyond the linearised stability limit in nonlinear problems
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 Report Number: NA/89 (1985)
 R Fletcher
 Degeneracy in the presence of roundoff errors
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 Report Number: NA/90 (1985)
 G A Watson
 Data fitting by positive sums of exponentials
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 Report Number: NA/91 (1985)
 I M Snyman
 Variational methods and time dependent problems: an investigation of a linear case
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 Report Number: NA/92 (1985)
 R Fletcher and C Xu
 Hybrid Methods for Nonlinear Least Squares
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 Report Number: NA/93 (1986)
 A R Mitchell,P JohnCharles and B D Sleeman
 Long Time Calculations and Non Linear Maps
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 Report Number: NA/94 (1986)
 R Fletcher
 Recent Developments in Linear and Quadratic Programming
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 Report Number: NA/95 (1986)
 I B Stewart and K Unsworth
 A PetrovGalerkin Method for the Numerical Solution of the BradshawFerrissAtwell Turbulence Model
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 Report Number: NA/96 (1986)
 G A Watson
 Methods for Best Approximation and Regression Problems
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 Report Number: NA/97 (1986)
 J D Lambert
 Developments in Stability Theory for Ordinary Differential Equations
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 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
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 Report Number: NA/99 (1987)
 Y Tourigny
 Product Approximation for Two Nonlinear KleinGordon Equations
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 Report Number: NA/100 (1987)
 R Fletcher and E Sainz de la Maza
 Nonlinear Programming and Nonsmooth Optimization by Successive Linear Programming
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 Report Number: NA/101 (1987)
 G A Watson
 A method for the Chebyshev Solution of an overdetermined system of complex linear equations
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 Report Number: NA/102 (1987)
 E S Fraga and J Ll Morris
 An adaptive Mesh Refinement Method for the Korteweg de Vries Equation
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 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
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 Report Number: NA/104 (1987)
 Felix M Arscott
 Some Analytical Techniques for the Computation of Recessive Solutions on Linear Differential Equations
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 Report Number: NA/105 (1987)
 E S Fraga and J Ll Morris
 An adaptive Mesh Refinement method for the nonlinear Schrodinger equation
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 Report Number: NA/106 (1987)
 E S Fraga and J Ll Morris
 A piecewise uniform adaptive grid method for nonlinear dispersive wave equations
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 Report Number: NA/107 (1987)
 A R Mitchell and S Herring
 The Numerical Analysis of Nonlinear Dispersive Waves
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 Report Number: NA/108 (1987)
 G A Watson
 The Smallest perturbation of a submatrix which lowers the rank of a matrix
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 Report Number: NA/109 (1987)
 S W Schoombie
 A discrete multiple scales analysis of a discrete version of the Korteweg de Vries equation
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 Report Number: NA/110 (1987)
 Y Tourigny and J LI Morris and J M SanzSerna
 FiniteElement Solutions of a Radial Nonlinear Schrodinger Equation in Two Spatial Dimensions
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 Report Number: NA/111 (1987)
 D F Griffiths
 The Dynamics of some Linear Multistep Methods with StepSize Control
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 Report Number: NA/112 (1987)
 Y Tourigny and J M SanzSerna and J LI Morris
 Convergence Estimates for the FiniteElement Approximation of Problems with Radial Symmetry
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 Report Number: NA/113 (1988)
 D F Griffiths and A R Mitchell
 Stable Periodic Solutions of a Nonlinear Partial Difference Equation in Reaction Diffusion
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 Report Number: NA/114 (1988)
 R Fletcher
 A First Derivative Method for Nonlinear Programming based on Successive $\ell_1$ LP
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 Report Number: NA/115 (1988)
 Y Tourigny and E S Fraga and J LI Morris and A R Mitchell
 Selffocussing of Solitary Waves in a Threedimensional Optical Medium
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 Report Number: NA/116 (1988)
 G A Watson
 Numerical Methods for Chebyshev Approximation of ComplexValued Functions
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 Report Number: NA/117 (1988)
 R Fletcher
 Low Storage Methods for Unconstrained Optimization
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 Report Number: NA/118 (1988)
 P J Harley and J D Lambert
 A FourthOrder RungeKutta Algorithm Based on a New Error Estimate
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 Report Number: NA/119 (1989)
 R Fletcher
 A new variational result for quasiNewton formulae
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 Report Number: NA/120 (1989)
 R Fletcher
 Towards reliable linear programming
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 Report Number: NA/121 (1989)
 G A Watson
 On a general class of matrix nearness problems
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 Report Number: NA/122 (1990)
 A R Mitchell and B A Murray and B D Sleeman
 Numerical solution of {H}amiltonian systems in reactiondiffusion by symplectic difference schemes
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 Report Number: NA/123 (1990)
 R Fletcher
 Recent developments in methods for non linear programming
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 Report Number: NA/124 (1990)
 G A Watson
 An algorithm for optimal $\ell_2$ scaling
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 Report Number: NA/125 (1990)
 D F Griffiths and J M SanzSerna
 Semilocal results for the algebraic equations of implicit RungeKutta processes
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 Report Number: NA/126 (1990)
 G A Watson
 Algorithms for minimum trace factor analysis
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 Report Number: NA/127 (1990)
 R Fletcher and J A J Hall and W R Johns
 Flexible Retrofit Design of Multiproduct Batch Plants
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 Report Number: NA/128 (1990)
 D F Griffiths and A R Mitchell
 Spurious Behaviour and Nonlinear Instability in Discretised Partial Differential Equations
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 Report Number: NA/129 (1991)
 D J Higham
 Error control for initial value problems with discontinuities and delays
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 Report Number: NA/130 (1991)
 D Pathria and J Ll Morris
 Splitstep Fourier methods for nonlinear Schrodinger equations
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 Report Number: NA/131 (1991)
 R Fletcher and J A J Hall
 Ordering algorithms for irreducible sparse linear systems
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 Report Number: NA/132 (1991)
 G A Watson
 Minimizing a smooth function plus the sum of the $k$ largest eigenvalues of a symmetric matrix
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 Report Number: NA/133 (1991)
 D J Higham
 The tolerance proportionality of adaptive ODE solvers
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 Report Number: NA/134 (1991)
 S G Bartels and D J Higham
 The structured sensitivity of Vandermondelike systems
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 Report Number: NA/135 (1991)
 R Fletcher
 Resolving degeneracy in quadratic programming
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 Report Number: NA/136 (1992)
 A R Gardiner and A R Mitchell
 Bifurcation studies in long time solutions of discrete mode in reaction diffusion
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 Report Number: NA/137 (1992)
 A R Gardiner and A R Mitchell
 Periodic bifurcations of an explicit discretisation of the GinzburgLandau equation
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 Report Number: NA/138 (1992)
 D J Higham
 RungeKutta Stability on a Floquet Problem
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 Report Number: NA/139 (1992)
 A R Gardiner and A R Mitchell
 Unstable attractors of a discretised inviscid Burgers equation
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 Report Number: NA/140 (1992)
 G A Watson
 Linear best approximation using a class of polyhedral norms
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 Report Number: NA/141 (1992)
 R Fletcher and S Leyffer
 Solving mixed integer nonlinear programs by outer approximation
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 Report Number: NA/142 (1992)
 A R Gardiner and A R Mitchell
 The influence of dispersion on the inviscid Burgers equation
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 Report Number: NA/143 (1992)
 D J Higham
 Condition numbers and their condition numbers
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 Report Number: NA/144 (1992)
 G. A. Watson
 The solution of matrix approximation problems with Ky Fan $k$ norms
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 Report Number: NA/145 (1992)
 R. Fletcher
 An optimal positive definite update for sparse Hessian Matrices
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 Report Number: NA/146 (1992)
 D.J. Higham and I. Th. Famelis
 Stability of adaptive algorithms for delay differential equations
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 Report Number: NA/147 (1993)
 D.J. Higham
 The dynamics of variable stepsize RungeKutta algorithms
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 Report Number: NA/148 (1993)
 D.J. Higham
 The dynamics of a discretised nonlinear delay differential equation
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 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 branchandbound
 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 RungeKutta 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 RungeKutta 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 ReactionDiffusion Equation with Delay
 File: NA156_DJH.pdf
 Report Number: NA/157 (1995)
 S. AlHomidan 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 June30 June
 File: NA161_DFG_DJH.pdf
 Report Number: NA/162 (1995)
 Desmond J. Higham
 Timestepping 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 integrodifferential equation
 File: NA165_DFG.pdf
 Report Number: NA/167 (1995)
 Roger Fletcher and Tom Johnson
 On the Stability of NullSpace Methods for KKT Systems
 File: NA167_RF.pdf
 Report Number: NA/168 (1996)
 D.J. Higham
 RungeKutta 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 Mestimator
 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 June27 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 branchandbound 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 HyperbolicParabolic 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}une2 {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 AdvectionReaction 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 FilterSQP 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 SLPFilter Algorithm that takes EQP steps
 File: NA199_EC_RF.pdf
 Report Number: NA/200 (2001)
 JeanPierre 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, 2629 {J}une, 2001
 File: NA201_DFG.pdf
 Report Number: NA/202 (2001)
 Choong Ming Chin and Roger Fletcher
 Numerical performance of an SLPfilter 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
 Filtertype 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 GaussNewton method for $l_1$ orthogonal distance regression
 File: NA206_GAW.pdf
 Report Number: NA/207 (2001)
 Roger Fletcher
 On the BarzilaiBorwein 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)
 YuHong 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, 2427 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)
 YuHong Dai and Roger Fletcher
 Projected BarzilaiBorwein Methods for LargeScale BoxConstrained Quadratic Programming
 File: NA215_RF.pdf
 Report Number: NA/216 (2003)
 YuHong 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, 2427 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)
 YuHong Dai
 Fast Algorithms for Projection on an Ellipsoid
 File: NA220_YHD.pdf
 Report Number: NA/221 (2005)
 I. AlSubaihi 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 June1 July, 2005
 File: NA222_DFG.pdf
 Report Number: NA/223 (2005)
 Roger Fletcher
 A New Low Rank QuasiNewton Update Scheme for Nonlinear Programming
 File: NA223_RF.pdf
 Report Number: NA/224 (2005)
 I. AlSubaihi and G. A. Watson
 Fitting parametric curves and surfaces by $l_\infty$ distance regression
 File: NA224.pdf
 Report Number: NA/225 (2005)
 I. AlSubaihi and G. A. Watson
 An algorithm for matching points sets using the $l_1$ norm
 File: NA225.pdf
 Report Number: NA/225 (2005)
 I. AlSubaihi 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 twophase flow computations
 File: NA228.pdf
