\documentstyle[twocolumn]{article} \columnsep .5in \evensidemargin -.25in \oddsidemargin -.25in \textwidth 7in \textheight 9in \topmargin -.5in \pagestyle{empty} \title{ Current Institutional Reports \thanks{ Reports can be obtained by writing to the person or address given for the publishing institution. We recommend requesting reports by author, title, and number, since the information listed in this column has been transcribed at least once from the original sources. URLs included in the contact's address point to reports that are available online. SIGNUM Newsletter Institutional Reports columns and their BibTeX bibliographies are available online at {\it http://www.netlib.org/signum-reports/} } } \author{SIGNUM Newsletter Volume 33, Number 2} \date{April 1998} \begin{document} \maketitle \thispagestyle{empty} \renewcommand{\refname}{\samepage\flushleft Cambridge {\normalsize \begin{quote} Dept. of Applied Mathematics and \\ Theoretical Physics \\ University of Cambridge \\ Silver Street \\ Cambridge CB3 9EW \\ England \\ 0223 337900 \\ email: Karen@amtp.cam.ac.uk \\ URL: {\it http://www.damtp.cam.ac.uk/\hfil\break DAMTP/user/na/reports.html} \end{quote} } } \begin{thebibliography}{1} \bibitem{Liu:1998:PRM} Yunkang Liu. \newblock Projected {Runge}-{Kutta} methods for differential equations on matrix {Lie} groups. \newblock Technical Report NA1998/01, University of Cambridge, 1998. \bibitem{Iserles.Marthinsen.ea:1998:OTI} Arieh Iserles, Arne Marthinsen, and Syvert Norsett. \newblock On the implementation of the method of {Magnus} series for linear differential equations. \newblock Technical Report NA1998/02, University of Cambridge, 1998. \bibitem{Powell:1998:DSA} M.J.D. Powell. \newblock Direct search algorithms for optimization calculations. \newblock Technical Report NA1998/04, University of Cambridge, 1998. \end{thebibliography} \renewcommand{\refname}{\samepage\flushleft Center for Research on Parallel Computation (CRPC) {\normalsize \begin{quote} Theresa Chatman \\ Center for Research on Parallel Computation \\ Rice University \\ P.O. Box 1892 \\ Houston, Texas 77251-1892 \\ URL: {\it http://softlib.rice.edu/CRPC/softlib/\hfill\break TRs\_online.html} \end{quote} } } \begin{thebibliography}{10} \bibitem{Ulbrich.Ulbrich:1997:SCO} Michael Ulbrich and Stefan Ulbrich. \newblock Superlinear convergence of affine-scaling interior-point {Newton} methods for infinite-dimensional nonlinear problems with pointwise bounds. \newblock Technical Report CRPC-TR97697, Center for Research on Parallel Computation, September 1997. \bibitem{Keller:1997:NSO} H.~B. Keller. \newblock Numerical studies of the {Gauss} lattice problem. \newblock Technical Report CRPC-TR97699, Center for Research on Parallel Computation, January 1997. \bibitem{Giladi.Keller:1997:SDD} Eldar Giladi and Herbert~B. Keller. \newblock Space-time domain decomposition for parabolic problems. \newblock Technical Report CRPC-TR97701, Center for Research on Parallel Computation, March 1997. \bibitem{Gropp.More:1997:OEA} William Gropp and Jorge~J. More. \newblock Optimization environments and the {NEOS} server. \newblock Technical Report CRPC-TR97708, Center for Research on Parallel Computation, March 1997. \bibitem{Kloucek:1997:TRO} Petr Kloucek. \newblock The relaxation of non-quasiconvex variational integrals. \newblock Technical Report CRPC-TR97709, Center for Research on Parallel Computation, September 1997. \bibitem{Ahues.Tisseur:1997:AND} Mario Ahues and Francoise Tisseur. \newblock A new deflation criterion for the {QR} algorithm. \newblock Technical Report CRPC-TR97713-S, Center for Research on Parallel Computation, January 1997. \bibitem{Desprez.Dongarra.ea:1997:SBA} Frederic Desprez, Jack Dongarra, Antoine Petitet, Cyril Randriamaro, and Yves Robert. \newblock Scheduling block-cyclic array redistribution. \newblock Technical Report CRPC-TR97714-S, Center for Research on Parallel Computation, February 1997. \bibitem{Henry.Watkins.ea:1997:API} Greg Henry, David Watkins, and Jack Dongarra. \newblock A parallel implementation of the nonsymmetric {QR} algorithm for distributed memory architectures. \newblock Technical Report CRPC-TR97716, Center for Research on Parallel Computation, March 1997. \bibitem{Cleary.Dongarra:1997:IIS} A.~Cleary and J.~Dongarra. \newblock Implementation in {ScaLAPACK} of divide-and-conquer algorithms for banded and tridiagonal linear systems. \newblock Technical Report CRPC-TR97717, Center for Research on Parallel Computation, April 1997. \bibitem{Ranka.Yau.ea:1997:HFF} Sanjay Ranka, Hon~W. Yau, Kenneth~A. Hawick, and Geoffrey~C. Fox. \newblock High-performance {Fortran} for {SPMD} programming: An applications overview. \newblock Technical Report CRPC-TR97722, Center for Research on Parallel Computation, June 1997. \bibitem{Hayder.Keyes.ea:1997:ACO} M.~Ehtesham Hayder, David~E. Keyes, and Piyush Mehrotra. \newblock A comparison of {PETSc} library and {HPF} implementations of an archetypal {PDE} computation. \newblock Technical Report CRPC-TR97728, Center for Research on Parallel Computation, November 1997. \bibitem{Gomes.Sorensen:1997:AAC} Francisco~M. Gomes and Danny~C. Sorensen. \newblock {{ARPACK}++}: A {C++} implementation of {ARPACK} eigenvalue package (draft version). \newblock Technical Report CRPC-TR97729, Center for Research on Parallel Computation, August 1997. \bibitem{Tapia:1997:OTF} Richard~A. Tapia. \newblock On the fundamental role of interior-point methodology in constrained optimization. \newblock Technical Report CRPC-TR97730, Center for Research on Parallel Computation, April 1997. \bibitem{Carle.Fagan:1997:FDV} Alan Carle and Mike Fagan. \newblock Finite differences vs automatic differentiation for restartable iterative procedures. \newblock Technical Report CRPC-TR97733, Center for Research on Parallel Computation, December 1997. \bibitem{Ramamoorthi.Rifkin.ea:1997:AGR} Ravi Ramamoorthi, Adam Rifkin, Boris Dimitrov, and K.~Mani Chandy. \newblock A general resource reservation framework for scientific computing. \newblock Technical Report CRPC-TR97736-S, Center for Research on Parallel Computation, December 1997. \bibitem{Carle.Fagan:1998:CAE} Alan Carle and Mike Fagan. \newblock Construction and evaluation of an incremental iterative version of a parallel multigrid {CFD} code via automatic differentiation for shape optimization. \newblock Technical Report CRPC-TR98738, Center for Research on Parallel Computation, February 1998. \bibitem{Booker.J-E-Dennis.ea:1998:ARF} Andrew~J. Booker, J.~E. {Dennis, Jr.}, Paul~D. Frank, David~B. Serafini, Virginia Torczon, and Michael~W. Trosset. \newblock A rigorous framework for optimization of expensive functions by surrogates. \newblock Technical Report CRPC-TR98739-S, Center for Research on Parallel Computation, February 1998. \end{thebibliography} \renewcommand{\refname}{\samepage\flushleft CERFACS {\normalsize \begin{quote} Centre Eur\`ope en de Recherche et de Formation \\ Avancee en Calcul Scientifique \\ 42, Avenue Gustave-Coriolis \\ 31057 Toulouse Cedex, \\ France \\ Attn. Librarian: 010 33 61193131 \\ email: library@cerfacs.fr \\ URL: {\it http://www.cerfacs.fr/algor/\hfill\break algo\_reports.html} \end{quote} } } \begin{thebibliography}{1} \bibitem{Duff.Koster:1997:TDA} I.~S. Duff and J.~Koster. \newblock The design and use of algorithms for permuting large entries to the diagonal of sparse matrices. \newblock Technical Report TR\_PA\_97\_45, CERFACS, 1997. \bibitem{Carvalho.Giraud:1997:BDP} L.~M. Carvalho and L.~Giraud. \newblock Block diagonal preconditioners for the {Schur} complement method. \newblock Technical Report TR\_PA\_97\_46, CERFACS, 1997. \bibitem{Fraysse.Giraud.ea:1997:ASO} V.~Fraysse, L.~Giraud, and S.~Gratton. \newblock A set of {GMRES} routines for real and complex arithmetics. \newblock Technical Report TR\_PA\_97\_49, CERFACS, 1997. \bibitem{Braconnier.Fraysse.ea:1997:AUG} Thierry Braconnier, Valerie Fraysse, and Jean-Christophe Rioual. \newblock {ARNCHEB} users' guide: Solution of large non symmetric or non {Hermitian} eigenvalue problems by the {Arnoldi}-{Tchebycheff} method. \newblock Technical Report TR\_PA\_97\_50, CERFACS, 1997. \bibitem{Amestoy.Duff.ea:1998:MMM} P.~R. Amestoy, I.S. Duff, and J.-Y. L'Excellent. \newblock {MUMPS} multifrontal massively parallel solver {Version} 2.0. \newblock Technical Report TR\_PA\_98\_02, CERFACS, 1998. \bibitem{Bezerra.Tomei.ea:1998:MTA} L.~H. Bezerra, Carlos Tomei, and R.~Alan McCoy. \newblock Mobius transforms and solvers for large sparse generalized nonsymmetric eigenvalue problems. \newblock Technical Report TR\_PA\_98\_03, CERFACS, 1998. \bibitem{Fraysse.Giraud.ea:1998:OTI} V.~Fraysse, L.Giraud, and H.~Kharraz-Aroussi. \newblock On the influence of the orthogonalization scheme on the parallel performance of {GMRES}. \newblock Technical Report TR\_PA\_98\_07, CERFACS, 1998. \bibitem{Amodio.Mazzia:1998:ANA} P.~Amodio and F.~Mazzia. \newblock A new approach to the backward error analysis in the {LU} factorization algorithm. \newblock Technical Report TR\_PA\_98\_09, CERFACS, 1998. \bibitem{Mazzia:1998:LOB} F.~Mazzia. \newblock Loss of biorthogonality and linear system solvers. \newblock Technical Report TR\_PA\_98\_10, CERFACS, 1998. \end{thebibliography} \renewcommand{\refname}{\samepage\flushleft University of Durham {\normalsize \begin{quote} Department of Mathematical Sciences \\ University of Durham \\ South Road \\ Durham DH1 3LE: 091 374 2349 \\ URL: {\it http://fourier.dur.ac.uk:8000/num/\hfill\break publications.html} \end{quote} } } \begin{thebibliography}{1} \bibitem{Barrett.Blowey:1998:AIE} J.~W. Barrett and J.~F. Blowey. \newblock An improved error bound for a finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy. \newblock Technical Report NA-98/01, University of Durham, 1998. \end{thebibliography} \renewcommand{\refname}{\samepage\flushleft Eidgen\"{o}ssiche Technische Hochschule {\normalsize \begin{quote} Seminar f\"{u}r Angewandte Mathematik \\ ETH-Zentrum \\ CH-8092 Z\"urich \\ URL: {\it ftp://ftp.sam.math.ethz.ch/pub/\hfill\break sam-reports/} \end{quote} } } \begin{thebibliography}{1} \bibitem{Demkowicz.Gerdes.ea:1997:HAG} L.~Demkowicz, K.~Gerdes, C.~Schwab, A.~Bajer, and T.~Walsh. \newblock {HP90}: A general \& flexible {Fortran} 90 $hp$-{FE} code. \newblock Technical Report 97-17, Eidgen{\"{o}}ssiche Technische Hochschule, 1997. \bibitem{Gerdes.Schoetzau:1997:HFF} K.~Gerdes and D.~Schoetzau. \newblock $hp$ {FEM} for incompressible fluid flow - stable and stabilized. \newblock Technical Report 97-18, Eidgen{\"{o}}ssiche Technische Hochschule, 1997. \bibitem{Schwab.Suri:1997:MHF} C.~Schwab and M.~Suri. \newblock Mixed $hp$ finite element methods for stokes and non-{Newtonian} flow. \newblock Technical Report 97-19, Eidgen{\"{o}}ssiche Technische Hochschule, 1997. \bibitem{Actis.Szabo.ea:1997:HMF} R.L. Actis, B.A. Szabo, and C.~Schwab. \newblock Hierarchic models for laminated plates and shells. \newblock Technical Report 97-20, Eidgen{\"{o}}ssiche Technische Hochschule, 1997. \bibitem{Feistauer.Schwab:1998:COA} M.~Feistauer and C.~Schwab. \newblock Coupling of an interior {Navier}--{Stokes} problem with an exterior {Oseen} problem. \newblock Technical Report 98-01, Eidgen{\"{o}}ssiche Technische Hochschule, 1998. \bibitem{Melenk:1998:ONF} J.M. Melenk. \newblock On $n$-widths for elliptic problems. \newblock Technical Report 98-02, Eidgen{\"{o}}ssiche Technische Hochschule, 1998. \end{thebibliography} \renewcommand{\refname}{\samepage\flushleft Institute for Advanced Computer Studies (UMIACS) {\normalsize \begin{quote} Institute for Advanced Computer Studies (UMIACS) \\ University of Maryland \\ College Park, MD 20742 \\ email: tr@umiacs.umd.edu \\ URL: {\it http://www.cs.umd.edu/TRs/\hfill\break TRumiacs.html} \end{quote} } } \begin{thebibliography}{1} \bibitem{Stewart:1998:OTA} G.~W. Stewart. \newblock On the adjoint matrix. \newblock Technical Report UMIACS-TR-98-02, Institute for Advanced Computer Studies (UMIACS), January 1998. \bibitem{Stewart:1998:TAF} G.~W. Stewart. \newblock Two algorithms for the the efficient computation of truncated pivoted {QR} approximations to a sparse matrix. \newblock Technical Report UMIACS-TR-98-12, Institute for Advanced Computer Studies (UMIACS), February 1998. \bibitem{Elman.OLeary:1998:EOS} Howard~C. Elman and Dianne~P. O'Leary. \newblock Eigenanalysis of some preconditioned {Helmholtz} problems. \newblock Technical Report UMIACS-TR-98-22, Institute for Advanced Computer Studies (UMIACS), March 1998. \end{thebibliography} \renewcommand{\refname}{\samepage\flushleft Institute for Computer Applications in Science and Engineering (ICASE) {\normalsize \begin{quote} NASA Langley Research Center \\ Hampton, VA 23665 \\ Attn: Ms. Barbara Kraft \\ URL: {\it http://www.icase.edu/docs/library/\hfill\break reports/rdp/} \end{quote} } } \begin{thebibliography}{1} \bibitem{Hayder.Keyes.ea:1997:ACO} M.~Ehtesham Hayder, David~E. Keyes, and Piyush Mehrotra. \newblock A comparison of {PETSC} library and {HPF} implementations of an archetypal {PDE} computation. \newblock Technical Report NASA/CR-97-206278 ICASE Report No. 97-72, Institute for Computer Applications in Science and Engineering, December 1997. \bibitem{Keyes.Kaushik.ea:1997:PFC} David~E. Keyes, Dinesh~K. Kaushik, and Barry~F. Smith. \newblock Prospects for {CFD} on petaflops systems. \newblock Technical Report NASA/CR-97-206279 ICASE Report No. 97-73, Institute for Computer Applications in Science and Engineering, December 1997. \bibitem{Hu.Shu:1998:ADG} Changqing Hu and Chi-Wang Shu. \newblock A discontinuous {Galerkin} finite element method for {Hamilton}-{Jacobi} equations. \newblock Technical Report NASA/CR-1998-206903 ICASE Report No. 98-2, Institute for Computer Applications in Science and Engineering, January 1998. \bibitem{Lewis.Torczon:1998:PSM} Robert~Michael Lewis and Virginia Torczon. \newblock Pattern search methods for linearly constrained minimization. \newblock Technical Report NASA/CR-1998-206904 ICASE Report No. 98-3, Institute for Computer Applications in Science and Engineering, January 1998. \bibitem{Mavriplis:1998:MSF} Dimitri~J. Mavriplis. \newblock Multigrid strategies for viscous flow solvers on anisotropic unstructured meshes. \newblock Technical Report NASA/CR-1998-206910 ICASE Report No. 98-6, Institute for Computer Applications in Science and Engineering, January 1998. \bibitem{Mavriplis:1998:DAM} Dimitri~J. Mavriplis. \newblock Directional agglomeration multigrid techniques for high-{Reynolds} number viscous flows. \newblock Technical Report NASA/CR-1998-206911 ICASE Report No. 98-7, Institute for Computer Applications in Science and Engineering, January 1998. \bibitem{Wilson.Demuren.ea:1998:HCS} Robert~V. Wilson, Ayodeji~O. Demuren, and Mark Carpenter. \newblock Higher-order compact schemes for numerical simulation of incompressible flows. \newblock Technical Report NASA/CR-1998-206922 ICASE Report No. 98-13, Institute for Computer Applications in Science and Engineering, February 1998. \bibitem{Arian.Vatsa:1998:APM} Eyal Arian and Veer~N. Vatsa. \newblock A preconditioning method for shape optimization governed by the {Euler} equations. \newblock Technical Report NASA/CR-1998-206926 ICASE Report No. 98-14, Institute for Computer Applications in Science and Engineering, February 1998. \end{thebibliography} \renewcommand{\refname}{\samepage\flushleft Minnesota Supercomputer Institute {\normalsize \begin{quote} University of Minnesota \\ 1200 Washington Avenue South \\ Minneapolis, MN 55415 \\ or fax (612)624-8861 \\ URL: {\it http://www.msi.umn.edu/Reports/\hfill\break reporthead.html} \end{quote} } } \begin{thebibliography}{1} \bibitem{Calvez.Saad:1998:MKA} C.~Le Calvez and Y.~Saad. \newblock Modified {Krylov} acceleration for parallel environments. \newblock Research Report UMSI 98/6, University of Minnesota Supercomputing Institute, January 1998. \bibitem{Saad.Zhang:1998:DTT} Y.~Saad and J.~Zhang. \newblock Diagonal threshold techniques in robust multi-level {ILU} preconditioners for general sparse linear systems. \newblock Research Report UMSI 98/7, University of Minnesota Supercomputing Institute, January 1998. \bibitem{Wu.Saad.ea:1998:INP} K.~Wu, Y.~Saad, and A.~Stathopoulos. \newblock Inexact {Newton} preconditioning techniques for eigenvalue problems. \newblock Research Report UMSI 98/10, University of Minnesota Supercomputing Institute, January 1998. \bibitem{Gupta.Gustavson.ea:1998:DAI} A.~Gupta, F.~Gustavson, M.~Joshi, G.~Karypis, and V.~Kumar. \newblock Design and implementation of a scalable parallel direct solver for sparse symmetric positive definite systems: Preliminary results. \newblock Research Report UMSI 98/16, University of Minnesota Supercomputing Institute, February 1998. \bibitem{Stathopoulos.Saad:1998:RTF} A.~Stathopoulos and Y.~Saad. \newblock Restarting techniques for preconditioned symmetric eigenvalue methods. \newblock Research Report UMSI 98/20, University of Minnesota Supercomputing Institute, February 1998. \bibitem{Braconnier.Saad:1998:EBF} T.~Braconnier and Y.~Saad. \newblock Eigenvalue bounds from the {Schur} form. \newblock Research Report UMSI 98/21, University of Minnesota Supercomputing Institute, February 1998. \end{thebibliography} \renewcommand{\refname}{\samepage\flushleft Oxford {\normalsize \begin{quote} Numerical Analysis Group \\ Oxford University Computing Laboratory \\ Wolfson Building \\ Parks Road \\ Oxford OX1 3QD, England \\ 0865 273885 \\ email: Bette.Byrne@comlab.ox.ac.uk \\ URL: {\it http://www.comlab.ox.ac.uk/oucl/\hfill\break publications/natr.html} \end{quote} } } \begin{thebibliography}{1} \bibitem{Suli:1997:APE} E.~Suli. \newblock A posteriori error analysis and adaptivity for finite element approximations of hyperbolic problems. \newblock Technical Report NA-97/21, Oxford, 1997. \bibitem{Embree.Trefethen:1997:TRR} Mark Embree and Lloyd~N. Trefethen. \newblock The random recurrence $x_{n+1} = x_{n} \pm bx_{n-1}$. \newblock Technical Report NA-97/22, Oxford, 1997. \bibitem{Jackson.Suli.ea:1998:COD} Nicolas Jackson, Endre Suli, and Sam Howison. \newblock Computation of deterministic volatility surfaces. \newblock Technical Report NA-98/01, Oxford, 1998. \end{thebibliography} \renewcommand{\refname}{\samepage\flushleft Rutherford Appleton Laboratory {\normalsize \begin{quote} Atlas Centre \\ Attn. L. Miles \\ Rutherford Appleton Laboratory \\ Didcot \\ Oxon OX11 0QX \\ England: 0235 445790 \\ URL: {\it http://www.rl.ac.uk/departments/ccd/\hfill\break numerical/reports/reports.html} \end{quote} } } \begin{thebibliography}{1} \bibitem{Gould.Nocedal:1997:TMA} N.~I.~M. Gould and J.~Nocedal. \newblock The modified absolute-value factorization norm for trust-region minimization. \newblock Technical Report RAL-TR-97-071, Rutherford Appleton Laboratory, 1997. \bibitem{Gould.Lucidi.ea:1998:ALA} N.~I.~M. Gould, S.~Lucidi, M.~Roma, and Ph.~L. Toint. \newblock A linesearch algorithm with memory for unconstrained optimization. \newblock Technical Report RAL-TR-98-003, Rutherford Appleton Laboratory, 1998. \bibitem{Dayde.Decamps.ea:1998:SPF} M.~J. Dayde, J.~Decamps, and N.~I.~M. Gould. \newblock Subspace-by-subspace preconditioners for structured linear systems. \newblock Technical Report RAL-TR-98-005, Rutherford Appleton Laboratory, 1998. \bibitem{Reid.Scott:1998:OSS} J.~K. Reid and J.~A. Scott. \newblock Ordering symmetric sparse matrices for small profile and wavefront. \newblock Technical Report RAL-TR-98-016, Rutherford Appleton Laboratory, 1998. \bibitem{Reid:1998:ISO} J.~K. Reid. \newblock Implicit scaling of linear least squares problems. \newblock Technical Report RAL-TR-98-027, Rutherford Appleton Laboratory, 1998. \end{thebibliography} \renewcommand{\refname}{\samepage\flushleft Stanford University {\normalsize \begin{quote} SCCM Program, MC 9025 \\ Stanford University \\ Gates Building 2B \\ Stanford, CA 94305-9025, USA \\ Phone: (415) 723-3125 \\ Fax: (415) 723-2411 \\ e-mail: info@sccm.stanford.edu \\ URL: {\it http://www-sccm.stanford.edu/\hfill\break tech\_reports.html} \end{quote} } } \begin{thebibliography}{1} \bibitem{Knight.Grinfeld.ea:1997:NAF} P.~A. Knight, M.~Grinfeld, and H.~Lamba. \newblock Nonnormality and finite precision arithmetic in power method dynamics. \newblock Technical Report SCCM-97-14, Stanford University, 1997. \bibitem{Gene-H-Golub.Sarin:1997:APB} Ahmed~Sameh Gene H.~Golub and Vivek Sarin. \newblock A parallel balanced method for sparse linear systems. \newblock Technical Report SCCM-97-15, Stanford University, 1997. \bibitem{Zhang.Golub.ea:1998:EPA} T.~Zhang, G.~H. Golub, and K.~H. Law. \newblock Eigenvalue pertubation and generalized {Krylov} subspace methods. \newblock Technical Report SCCM-98-01, Stanford University, 1998. \bibitem{Melman:1998:SFF} A.~Melman. \newblock Spectral functions for real symmetric toeplitz matrices. \newblock Technical Report SCCM-98-02, Stanford University, 1998. \bibitem{Bai.Fahey.ea:1998:CPE} Z.~Bai, M.~Fahey, G.~Golub, M.~Menon, and E.~Richter. \newblock Computing partial eigenvalue sum in electronic structure calculations. \newblock Technical Report SCCM-98-03, Stanford University, 1998. \bibitem{Benzi.Golub:1998:BFT} M.~Benzi and G.~H. Golub. \newblock Bounds for the entries of matrix functions with applications to preconditioning. \newblock Technical Report SCCM-98-04, Stanford University, 1998. \bibitem{Lamba.Stuart:1998:CPF} H.~Lamba and A.~M. Stuart. \newblock Convergence proofs for numerical {IVP} software. \newblock Technical Report SCCM-98-05, Stanford University, 1998. \bibitem{Drexler:1998:TAG} M.~Drexler. \newblock Towards a global convergence theory for {Newton's} method. \newblock Technical Report SCCM-98-06, Stanford University, 1998. \end{thebibliography} \renewcommand{\refname}{\samepage\flushleft University of Strathclyde {\normalsize \begin{quote} Department of Mathematics \\ Livingstone Tower \\ 26 Richmond Street \\ Glasgow G1 1XH: 041 552 4400 \\ URL: {\it http://www.maths.strath.ac.uk/reports/} \end{quote} } } \begin{thebibliography}{1} \bibitem{Qiu.Sloan:1997:OMS} Y.~Qiu and D.~M. Sloan. \newblock On multiple solutions of a convection-diffusion boundary value problem produced by an adaptive mesh method. \newblock Technical Report 1997/42, University of Strathclyde, 1997. \bibitem{Higham:1998:TRA} D.~J. Higham. \newblock Trust region algorithms and timestep selection. \newblock Technical Report 1998/3, University of Strathclyde, 1998. \bibitem{Aves.Davies.ea:1998:TEO} M.~A. Aves, P.~J. Davies, and D.~J. Higham. \newblock The effect of quadrature on the dynamics of a discretised nonlinear integro-differential equation. \newblock Technical Report 1998/5, University of Strathclyde, 1998. \bibitem{M-A-Aves.Higham:1998:RSO} D.~F.~Griffiths M.~A.~Aves and D.~J. Higham. \newblock {Runge}-{Kutta} solutions of a hyperbolic conservation law with source term. \newblock Technical Report 1998/6, University of Strathclyde, 1998. \end{thebibliography} \end{document} .