@TechReport{ Liu:1998:PRM, author = "Yunkang Liu", title = "Projected {Runge}-{Kutta} methods for differential equations on matrix {Lie} groups", institution = "University of Cambridge", year = "1998", number = "NA1998/01" } @TechReport{ Iserles.Marthinsen.ea:1998:OTI, author = "Arieh Iserles and Arne Marthinsen and Syvert Norsett", title = "On the implementation of the method of {Magnus} series for linear differential equations", institution = "University of Cambridge", year = "1998", number = "NA1998/02" } @TechReport{ Powell:1998:DSA, author = "M.J.D. Powell", title = "Direct search algorithms for optimization calculations", institution = "University of Cambridge", year = "1998", number = "NA1998/04" } @TechReport{ Ulbrich.Ulbrich:1997:SCO, author = "Michael Ulbrich and Stefan Ulbrich", title = "Superlinear Convergence of Affine-Scaling Interior-Point {Newton} Methods for Infinite-Dimensional Nonlinear Problems with Pointwise Bounds", institution = "Center for Research on Parallel Computation", year = "1997", number = "CRPC-TR97697", month = "September" } @TechReport{ Keller:1997:NSO, author = "H. B. Keller", title = "Numerical Studies of the {Gauss} Lattice Problem", institution = "Center for Research on Parallel Computation", year = "1997", number = "CRPC-TR97699", month = "January" } @TechReport{ Giladi.Keller:1997:SDD, author = "Eldar Giladi and Herbert B. Keller", title = "Space-Time Domain Decomposition for Parabolic Problems", institution = "Center for Research on Parallel Computation", year = "1997", number = "CRPC-TR97701", month = "March" } @TechReport{ Gropp.More:1997:OEA, author = "William Gropp and Jorge J. More", title = "Optimization Environments and the {NEOS} Server", institution = "Center for Research on Parallel Computation", year = "1997", number = "CRPC-TR97708", month = "March" } @TechReport{ Kloucek:1997:TRO, author = "Petr Kloucek", title = "The Relaxation of Non-Quasiconvex Variational Integrals", institution = "Center for Research on Parallel Computation", year = "1997", number = "CRPC-TR97709", month = "September" } @TechReport{ Ahues.Tisseur:1997:AND, author = "Mario Ahues and Francoise Tisseur", title = "A New Deflation Criterion for the {QR} Algorithm", institution = "Center for Research on Parallel Computation", year = "1997", number = "CRPC-TR97713-S", month = "January" } @TechReport{ Desprez.Dongarra.ea:1997:SBA, author = "Frederic Desprez and Jack Dongarra and Antoine Petitet and Cyril Randriamaro and Yves Robert", title = "Scheduling Block-Cyclic Array Redistribution", institution = "Center for Research on Parallel Computation", year = "1997", number = "CRPC-TR97714-S", month = "February" } @TechReport{ Henry.Watkins.ea:1997:API, author = "Greg Henry and David Watkins and Jack Dongarra", title = "A Parallel Implementation of the Nonsymmetric {QR} Algorithm for Distributed Memory Architectures", institution = "Center for Research on Parallel Computation", year = "1997", number = "CRPC-TR97716", month = "March" } @TechReport{ Cleary.Dongarra:1997:IIS, author = "A. Cleary and J. Dongarra", title = "Implementation in {ScaLAPACK} of Divide-and-Conquer Algorithms for Banded and Tridiagonal Linear Systems", institution = "Center for Research on Parallel Computation", year = "1997", number = "CRPC-TR97717", month = "April" } @TechReport{ Ranka.Yau.ea:1997:HFF, author = "Sanjay Ranka and Hon W. Yau and Kenneth A. Hawick and Geoffrey C. Fox", title = "High-Performance {Fortran} for {SPMD} Programming: An Applications Overview", institution = "Center for Research on Parallel Computation", year = "1997", number = "CRPC-TR97722", month = "June" } @TechReport{ Hayder.Keyes.ea:1997:ACO, author = "M. Ehtesham Hayder and David E. Keyes and Piyush Mehrotra", title = "A Comparison of {PETSc} Library and {HPF} Implementations of an Archetypal {PDE} Computation", institution = "Center for Research on Parallel Computation", year = "1997", number = "CRPC-TR97728", month = "November" } @TechReport{ Gomes.Sorensen:1997:AAC, author = "Francisco M. Gomes and Danny C. Sorensen", title = "{{ARPACK}++}: A {C++} Implementation of {ARPACK} Eigenvalue Package (Draft Version)", institution = "Center for Research on Parallel Computation", year = "1997", number = "CRPC-TR97729", month = "August" } @TechReport{ Tapia:1997:OTF, author = "Richard A. Tapia", title = "On the Fundamental Role of Interior-Point Methodology in Constrained Optimization", institution = "Center for Research on Parallel Computation", year = "1997", number = "CRPC-TR97730", month = "April" } @TechReport{ Carle.Fagan:1997:FDV, author = "Alan Carle and Mike Fagan", title = "Finite Differences vs Automatic Differentiation for Restartable Iterative Procedures", institution = "Center for Research on Parallel Computation", year = "1997", number = "CRPC-TR97733", month = "December" } @TechReport{ Ramamoorthi.Rifkin.ea:1997:AGR, author = "Ravi Ramamoorthi and Adam Rifkin and Boris Dimitrov and K. Mani Chandy", title = "A General Resource Reservation Framework for Scientific Computing", institution = "Center for Research on Parallel Computation", year = "1997", number = "CRPC-TR97736-S", month = "December" } @TechReport{ Carle.Fagan:1998:CAE, author = "Alan Carle and Mike Fagan", title = "Construction and Evaluation of an Incremental Iterative Version of a Parallel Multigrid {CFD} Code via Automatic Differentiation for Shape Optimization", institution = "Center for Research on Parallel Computation", year = "1998", number = "CRPC-TR98738", month = "February" } @TechReport{ Booker.J-E-Dennis.ea:1998:ARF, author = "Andrew J. Booker and J. E. {Dennis, Jr.} and Paul D. Frank and David B. Serafini and Virginia Torczon and Michael W. Trosset", title = "A Rigorous Framework for Optimization of Expensive Functions by Surrogates", institution = "Center for Research on Parallel Computation", year = "1998", number = "CRPC-TR98739-S", month = "February" } @TechReport{ Duff.Koster:1997:TDA, author = "I. S. Duff and J. Koster", title = "The design and use of algorithms for permuting large entries to the diagonal of sparse matrices", institution = "CERFACS", year = "1997", number = "TR\_PA\_97\_45" } @TechReport{ Carvalho.Giraud:1997:BDP, author = "L. M. Carvalho and L. Giraud", title = "Block diagonal preconditioners for the {Schur} complement method", institution = "CERFACS", year = "1997", number = "TR\_PA\_97\_46" } @TechReport{ Fraysse.Giraud.ea:1997:ASO, author = "V. Fraysse and L. Giraud and S. Gratton", title = "A Set of {GMRES} Routines for Real and Complex Arithmetics", institution = "CERFACS", year = "1997", number = "TR\_PA\_97\_49" } @TechReport{ Braconnier.Fraysse.ea:1997:AUG, author = "Thierry Braconnier and Valerie Fraysse and Jean-Christophe Rioual", title = "{ARNCHEB} USERS' GUIDE: Solution of Large Non Symmetric or Non {Hermitian} Eigenvalue Problems by The {Arnoldi}-{Tchebycheff} Method", institution = "CERFACS", year = "1997", number = "TR\_PA\_97\_50" } @TechReport{ Amestoy.Duff.ea:1998:MMM, author = "P. R. Amestoy and I.S. Duff and J.-Y. L'Excellent", title = "{MUMPS} MUltifrontal Massively Parallel Solver {Version} 2.0", institution = "CERFACS", year = "1998", number = "TR\_PA\_98\_02" } @TechReport{ Bezerra.Tomei.ea:1998:MTA, author = "L. H. Bezerra and Carlos Tomei and R. Alan McCoy", title = "Mobius Transforms and Solvers for Large Sparse Generalized Nonsymmetric Eigenvalue Problems", institution = "CERFACS", year = "1998", number = "TR\_PA\_98\_03" } @TechReport{ Fraysse.Giraud.ea:1998:OTI, author = "V. Fraysse and L.Giraud and H. Kharraz-Aroussi", title = "On the influence of the orthogonalization scheme on the parallel performance of {GMRES}", institution = "CERFACS", year = "1998", number = "TR\_PA\_98\_07" } @TechReport{ Amodio.Mazzia:1998:ANA, author = "P. Amodio and F. Mazzia", title = "A new approach to the backward error analysis in the {LU} factorization algorithm", institution = "CERFACS", year = "1998", number = "TR\_PA\_98\_09" } @TechReport{ Mazzia:1998:LOB, author = "F. Mazzia", title = "Loss of biorthogonality and linear system solvers", institution = "CERFACS", year = "1998", number = "TR\_PA\_98\_10" } @TechReport{ Barrett.Blowey:1998:AIE, author = "J. W. Barrett and J. F. Blowey", title = "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", institution = "University of Durham", year = "1998", number = "NA-98/01" } @TechReport{ Demkowicz.Gerdes.ea:1997:HAG, author = "L. Demkowicz and K. Gerdes and C. Schwab and A. Bajer and T. Walsh", title = "{HP90}: A general \& flexible {Fortran} 90 $hp$-{FE} code", institution = "Eidgen{\"{o}}ssiche Technische Hochschule", year = "1997", number = "97-17" } @TechReport{ Gerdes.Schoetzau:1997:HFF, author = "K. Gerdes and D. Schoetzau", title = "$hp$ {FEM} for incompressible fluid flow - stable and stabilized", institution = "Eidgen{\"{o}}ssiche Technische Hochschule", year = "1997", number = "97-18" } @TechReport{ Schwab.Suri:1997:MHF, author = "C. Schwab and M. Suri", title = "Mixed $hp$ Finite Element Methods for Stokes and Non-{Newtonian} Flow", institution = "Eidgen{\"{o}}ssiche Technische Hochschule", year = "1997", number = "97-19" } @TechReport{ Actis.Szabo.ea:1997:HMF, author = "R.L. Actis and B.A. Szabo and C. Schwab", title = "Hierarchic Models for Laminated Plates and Shells", institution = "Eidgen{\"{o}}ssiche Technische Hochschule", year = "1997", number = "97-20" } @TechReport{ Feistauer.Schwab:1998:COA, author = "M. Feistauer and C. Schwab", title = "Coupling of an Interior {Navier}--{Stokes} Problem with an Exterior {Oseen} Problem", institution = "Eidgen{\"{o}}ssiche Technische Hochschule", year = "1998", number = "98-01" } @TechReport{ Melenk:1998:ONF, author = "J.M. Melenk", title = "On $n$-widths for Elliptic Problems", institution = "Eidgen{\"{o}}ssiche Technische Hochschule", year = "1998", number = "98-02" } @TechReport{ Stewart:1998:OTA, author = "G. W. Stewart", title = "On the Adjoint Matrix", institution = "Institute for Advanced Computer Studies (UMIACS)", year = "1998", number = "UMIACS-TR-98-02", month = "January" } @TechReport{ Stewart:1998:TAF, author = "G. W. Stewart", title = "Two Algorithms for the the Efficient Computation of Truncated Pivoted {QR} Approximations to a Sparse Matrix", institution = "Institute for Advanced Computer Studies (UMIACS)", year = "1998", number = "UMIACS-TR-98-12", month = "February" } @TechReport{ Elman.OLeary:1998:EOS, author = "Howard C. Elman and Dianne P. O'Leary", title = "Eigenanalysis of Some Preconditioned {Helmholtz} Problems", institution = "Institute for Advanced Computer Studies (UMIACS)", year = "1998", number = "UMIACS-TR-98-22", month = "March" } @TechReport{ Hayder.Keyes.ea:1997:ACO, author = "M. Ehtesham Hayder and David E. Keyes and Piyush Mehrotra", title = "A Comparison of {PETSC} Library and {HPF} Implementations of an Archetypal {PDE} Computation", institution = "Institute for Computer Applications in Science and Engineering", year = "1997", number = "NASA/CR-97-206278 ICASE Report No. 97-72", month = "December" } @TechReport{ Keyes.Kaushik.ea:1997:PFC, author = "David E. Keyes and Dinesh K. Kaushik and Barry F. Smith", title = "Prospects for {CFD} on Petaflops Systems", institution = "Institute for Computer Applications in Science and Engineering", year = "1997", number = "NASA/CR-97-206279 ICASE Report No. 97-73", month = "December" } @TechReport{ Hu.Shu:1998:ADG, author = "Changqing Hu and Chi-Wang Shu", title = "A Discontinuous {Galerkin} Finite Element Method for {Hamilton}-{Jacobi} Equations", institution = "Institute for Computer Applications in Science and Engineering", year = "1998", number = "NASA/CR-1998-206903 ICASE Report No. 98-2", month = "January" } @TechReport{ Lewis.Torczon:1998:PSM, author = "Robert Michael Lewis and Virginia Torczon", title = "Pattern Search Methods for Linearly Constrained Minimization", institution = "Institute for Computer Applications in Science and Engineering", year = "1998", number = "NASA/CR-1998-206904 ICASE Report No. 98-3", month = "January" } @TechReport{ Mavriplis:1998:MSF, author = "Dimitri J. Mavriplis", title = "Multigrid Strategies for Viscous Flow Solvers on Anisotropic Unstructured Meshes", institution = "Institute for Computer Applications in Science and Engineering", year = "1998", number = "NASA/CR-1998-206910 ICASE Report No. 98-6", month = "January" } @TechReport{ Mavriplis:1998:DAM, author = "Dimitri J. Mavriplis", title = "Directional Agglomeration Multigrid Techniques for High-{Reynolds} Number Viscous Flows", institution = "Institute for Computer Applications in Science and Engineering", year = "1998", number = "NASA/CR-1998-206911 ICASE Report No. 98-7", month = "January" } @TechReport{ Wilson.Demuren.ea:1998:HCS, author = "Robert V. Wilson and Ayodeji O. Demuren and Mark Carpenter", title = "Higher-Order Compact Schemes for Numerical Simulation of Incompressible Flows", institution = "Institute for Computer Applications in Science and Engineering", year = "1998", number = "NASA/CR-1998-206922 ICASE Report No. 98-13", month = "February" } @TechReport{ Arian.Vatsa:1998:APM, author = "Eyal Arian and Veer N. Vatsa", title = "A Preconditioning Method for Shape Optimization Governed by the {Euler} Equations", institution = "Institute for Computer Applications in Science and Engineering", year = "1998", number = "NASA/CR-1998-206926 ICASE Report No. 98-14", month = "February" } @TechReport{ Calvez.Saad:1998:MKA, author = "C. Le Calvez and Y. Saad", title = "Modified {Krylov} Acceleration for Parallel Environments", institution = "University of Minnesota Supercomputing Institute", year = "1998", number = "UMSI 98/6", month = "January", type = "Research Report" } @TechReport{ Saad.Zhang:1998:DTT, author = "Y. Saad and J. Zhang", title = "Diagonal Threshold Techniques in Robust Multi-Level {ILU} Preconditioners for General Sparse Linear Systems", institution = "University of Minnesota Supercomputing Institute", year = "1998", number = "UMSI 98/7", month = "January", type = "Research Report" } @TechReport{ Wu.Saad.ea:1998:INP, author = "K. Wu and Y. Saad and A. Stathopoulos", title = "Inexact {Newton} Preconditioning Techniques for Eigenvalue Problems", institution = "University of Minnesota Supercomputing Institute", year = "1998", number = "UMSI 98/10", month = "January", type = "Research Report" } @TechReport{ Gupta.Gustavson.ea:1998:DAI, author = "A. Gupta and F. Gustavson and M. Joshi and G. Karypis and V. Kumar", title = "Design and Implementation of a Scalable Parallel Direct Solver for Sparse Symmetric Positive Definite Systems: Preliminary Results", institution = "University of Minnesota Supercomputing Institute", year = "1998", number = "UMSI 98/16", month = "February", type = "Research Report" } @TechReport{ Stathopoulos.Saad:1998:RTF, author = "A. Stathopoulos and Y. Saad", title = "Restarting Techniques for Preconditioned Symmetric Eigenvalue Methods", institution = "University of Minnesota Supercomputing Institute", year = "1998", number = "UMSI 98/20", month = "February", type = "Research Report" } @TechReport{ Braconnier.Saad:1998:EBF, author = "T. Braconnier and Y. Saad", title = "Eigenvalue Bounds from the {Schur} Form", institution = "University of Minnesota Supercomputing Institute", year = "1998", number = "UMSI 98/21", month = "February", type = "Research Report" } @TechReport{ Suli:1997:APE, author = "E. Suli", title = "A posteriori error analysis and adaptivity for finite element approximations of hyperbolic problems", institution = "Oxford", year = "1997", number = "NA-97/21" } @TechReport{ Embree.Trefethen:1997:TRR, author = "Mark Embree and Lloyd N. Trefethen", title = "The Random Recurrence $x_{n+1} = x_{n} \pm bx_{n-1}$", institution = "Oxford", year = "1997", number = "NA-97/22" } @TechReport{ Jackson.Suli.ea:1998:COD, author = "Nicolas Jackson and Endre Suli and Sam Howison", title = "Computation of Deterministic Volatility Surfaces", institution = "Oxford", year = "1998", number = "NA-98/01" } @TechReport{ Gould.Nocedal:1997:TMA, author = "N. I. M. Gould and J. Nocedal", title = "The modified absolute-value factorization norm for trust-region minimization", institution = "Rutherford Appleton Laboratory", year = "1997", number = "RAL-TR-97-071" } @TechReport{ Gould.Lucidi.ea:1998:ALA, author = "N. I. M. Gould and S. Lucidi and M. Roma and Ph. L. Toint", title = "A linesearch algorithm with memory for unconstrained optimization", institution = "Rutherford Appleton Laboratory", year = "1998", number = "RAL-TR-98-003" } @TechReport{ Dayde.Decamps.ea:1998:SPF, author = "M. J. Dayde and J. Decamps and N. I. M. Gould", title = "Subspace-by-Subspace preconditioners for structured linear systems", institution = "Rutherford Appleton Laboratory", year = "1998", number = "RAL-TR-98-005" } @TechReport{ Reid.Scott:1998:OSS, author = "J. K. Reid and J. A. Scott", title = "Ordering symmetric sparse matrices for small profile and wavefront", institution = "Rutherford Appleton Laboratory", year = "1998", number = "RAL-TR-98-016" } @TechReport{ Reid:1998:ISO, author = "J. K. Reid", title = "Implicit scaling of linear least squares problems", institution = "Rutherford Appleton Laboratory", year = "1998", number = "RAL-TR-98-027" } @TechReport{ Knight.Grinfeld.ea:1997:NAF, author = "P. A. Knight and M. Grinfeld and H. Lamba", title = "Nonnormality and Finite Precision Arithmetic in Power Method Dynamics", institution = "Stanford University", year = "1997", number = "SCCM-97-14" } @TechReport{ Gene-H-Golub.Sarin:1997:APB, author = "Gene H. Golub, Ahmed Sameh and Vivek Sarin", title = "A Parallel Balanced Method for Sparse Linear Systems", institution = "Stanford University", year = "1997", number = "SCCM-97-15" } @TechReport{ Zhang.Golub.ea:1998:EPA, author = "T. Zhang and G. H. Golub and K. H. Law", title = "Eigenvalue Pertubation and Generalized {Krylov} Subspace Methods", institution = "Stanford University", year = "1998", number = "SCCM-98-01" } @TechReport{ Melman:1998:SFF, author = "A. Melman", title = "Spectral Functions for Real Symmetric Toeplitz Matrices", institution = "Stanford University", year = "1998", number = "SCCM-98-02" } @TechReport{ Bai.Fahey.ea:1998:CPE, author = "Z. Bai and M. Fahey and G. Golub and M. Menon and E. Richter", title = "Computing Partial Eigenvalue Sum in Electronic Structure Calculations", institution = "Stanford University", year = "1998", number = "SCCM-98-03" } @TechReport{ Benzi.Golub:1998:BFT, author = "M. Benzi and G. H. Golub", title = "Bounds for the Entries of Matrix Functions with Applications to Preconditioning", institution = "Stanford University", year = "1998", number = "SCCM-98-04" } @TechReport{ Lamba.Stuart:1998:CPF, author = "H. Lamba and A. M. Stuart", title = "Convergence Proofs for Numerical {IVP} Software", institution = "Stanford University", year = "1998", number = "SCCM-98-05" } @TechReport{ Drexler:1998:TAG, author = "M. Drexler", title = "Towards a Global Convergence Theory for {Newton's} Method", institution = "Stanford University", year = "1998", number = "SCCM-98-06" } @TechReport{ Qiu.Sloan:1997:OMS, author = "Y. Qiu and D. M. Sloan", title = "On Multiple Solutions of a Convection-diffusion Boundary Value Problem Produced by an Adaptive Mesh Method", institution = "University of Strathclyde", year = "1997", number = "1997/42" } @TechReport{ Higham:1998:TRA, author = "D. J. Higham", title = "Trust Region Algorithms and Timestep Selection", institution = "University of Strathclyde", year = "1998", number = "1998/3" } @TechReport{ Aves.Davies.ea:1998:TEO, author = "M. A. Aves and P. J. Davies and D. J. Higham", title = "The Effect of Quadrature on the Dynamics of a Discretised Nonlinear Integro-differential Equation", institution = "University of Strathclyde", year = "1998", number = "1998/5" } @TechReport{ M-A-Aves.Higham:1998:RSO, author = "M. A. Aves, D. F. Griffiths and D. J. Higham", title = "{Runge}-{Kutta} Solutions of a Hyperbolic Conservation Law with Source Term", institution = "University of Strathclyde", year = "1998", number = "1998/6" }