Last update: Wed May 7 14:21:06 BST 2008

**Report Number: NA/78**(1984)**M Al-Baali and R Fletcher**- An efficient line search for nonlinear least squares
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**Report Number: NA/79**(1984)**M Al-Baali**- On the Fletcher-Reeves 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 Sanz-Serna**- 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 leap-frog 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 round-off 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 John-Charles 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 Petrov-Galerkin Method for the Numerical Solution of the Bradshaw-Ferriss-Atwell 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 Klein-Gordon 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 Non-linear 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 Sanz-Serna**- Finite-Element 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 Step-Size Control
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**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
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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**- Self-focussing of Solitary Waves in a Three-dimensional Optical Medium
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**Report Number: NA/116**(1988)**G A Watson**- Numerical Methods for Chebyshev Approximation of Complex-Valued 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 Fourth-Order Runge-Kutta Algorithm Based on a New Error Estimate
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**Report Number: NA/119**(1989)**R Fletcher**- A new variational result for quasi-Newton 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 reaction-diffusion 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 Sanz-Serna**- Semilocal results for the algebraic equations of implicit Runge-Kutta 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**- Split-step 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 Vandermonde-like 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 Ginzburg-Landau equation
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**Report Number: NA/138**(1992)**D J Higham**- Runge-Kutta 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 Runge-Kutta 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 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
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**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
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**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