Numerical Analysis Group Research Reports
The Numerical Analysis Group
has a technical report series with hundreds of titles going back to
1984. Most of these articles have been published, or are submitted for
publication, in journals or conference proceedings.
Numerical Analysis Group Research Reports are also printed as A5 booklets,
and copies can be obtained by contacting the
Numerical Analysis Group secretary.
The following Research Reports are currently available.
There is a separate list of Research Reports
printed before 1995.
2008
- NA-08/19
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Preconditioned GMRES for oscillatory integrals
S Olver
- NA-08/18
-
A second derivative SQP method: Theoretical issues
N I M Gould, D P Robinson
- NA-08/17
-
Local projection finite element stabilization for the generalized Stokes problem
K Nafa and A J Wathen
- NA-08/16
-
Conformal Maps to Multiply-Slit Domains and Applications
N Hale and T W Tee
- NA-08/15
-
Using global interpolation to evaluate the Biot-Savart integral for deformable elliptical Gaussian vortex elements
R B Platte, L F Rossi and T B Mitchell
- NA-08/14
-
Chebyshev semi-iteration in Preconditioning
A J Wathen and T Rees
- NA-08/13
-
Chebfun: A New Kind of Numerical Computing
R B Platte and L N Trefethen
- NA-08/12
-
Householder triangularization of a quasimatrix
L N Trefethen
- NA-08/11
-
The chebop system for automatic solution of differential equations
T Driscoll, F Bornemann and L N Trefethen
- NA-08/10
-
Optimal solvers for PDE-Constrained Optimization
T Rees, H S Dollar and A J Wathen
- NA-08/09
-
A second derivative SQP method with imposed descent
N I M Gould, D P Robinson
- NA-08/08
-
A Bramble-Pasciak-like method with applications in optimization
H S Dollar, N I M Gould, M Stoll, and A J Wathen
- NA-08/07
-
Piecewise smooth chebfuns
R Pachón, R Platte and L N Trefethen
- NA-08/06
-
GMRES for the differentiation operator
S Olver
- NA-08/05
-
A Primal-Dual Augmented Lagrangian
P E Gill, D P Robinson
- NA-08/04
-
A Sixth-Order Extension to the MATLAB Package bvp4c of J. Kierzenka and L. Shampine
N Hale, D R Moore
- NA-08/03
-
A Krylov-Schur approach to the truncated SVD
M Stoll
- NA-08/02
-
Trust-region and other regularisations of linear least-squares problems
C Cartis, N I M Gould and P L Toint
- NA-08/01
-
An extended collection of matrix derivative results for forward and reverse mode automatic differentiation
M Giles
2007
- NA-07/22
-
Approximation of the scattering amplitude
G H Golub, M Stoll and A Wathen
- NA-07/21
-
Linear instability of asymmetric Poiseuille flows
D Kachuma, I Sobey
- NA-07/20
-
Adaptive cubic overestimation methods for unconstrained optimization
C Cartis, N I M Gould and P L Toint
- NA-07/19
-
Numerical approximation of corotational dumbbell models for dilute polymers
J W Barrett, E Süli
- NA-07/18
-
Kalman Filtering with Equality and Inequality State Constraints
N Gupta, R Hauser
- NA-07/17
-
Computing Aα, log(A) and related matrix functions by contour integrals
N Hale, N J Higham, L N Trefethen
- NA-07/16
-
Spectral Galerkin approximation of Fokker-Planck equations with unbounded drift
D Knezevic, E Süli
- NA-07/15
-
New quadrature formulas from conformal maps
N Hale, L N Trefethen
- NA-07/14
-
Kalman filtering in the presence of State Space Equality Constraints
N Gupta
- NA-07/13
-
The Bramble-Pasciak preconditioner for saddle point problems
M Stoll, A Wathen
- NA-07/12
-
Monte Carlo evaluation of sensitivities in computational finance
M Giles
- NA-07/11
-
Combination preconditioning and self-adjointness in non-standard
inner products with application to saddle point problems
M Stoll, A Wathen
- NA-07/10
-
Variational Convergence of IP-DGFEM
A Buffa, C Ortner
- NA-07/09
-
Nonlinear programming without a penalty function or a filter
N I M Gould, Ph L Toint
- NA-07/08
- A Block-Lanczos Method for Computing the Leading
Singular Values and Vectors of a Large Column-Distributed Matrix
R Hauser, D Goodman
- NA-07/07
-
Preconditioning and convergence in the right norm
A Wathen
- NA-07/06
-
A New Approach to Yakubovich's s-Lemma
R Hauser
- NA-07/05
-
A new perspective on the complexity of interior point methods for linear programming
C Cartis, R Hauser
- NA-07/04
-
Sparse finite element approximation of high-dimensional transport-dominated diffusion problems
C Schwab, E Süli, RA Todor
- NA-07/03
-
Solving large-scale quadratic eigenvalue problems with Hamiltonian eigenstructure using a structure-preserving Krylov subspace method
P Benner, H Faßbender, M Stoll
- NA-07/02
-
How good are projection methods for convex feasibility problems?
N I M Gould
- NA-07/01
-
Finding a point in the relative interior of a polyhedron
C Cartis, N I M Gould
2006
- NA-06/22
-
Improved multilevel Monte Carlo convergence using the Milstein scheme
M B Giles
- NA-06/21
-
Valuation of Asian and American options
N Jeannequin, N Aleksandrov, R Hauser
- NA-06/20
-
Evaluating matrix functions for exponential integrators via
Carathéodory-Fejér approximation and contour integrals
T Schmelzer, L N Trefethen
- NA-06/19
-
Finite element methods for deterministic simulation of polymeric fluids
D Knezevic
- NA-06/18
-
A Gagliardo-Nirenberg inequality, with application to duality-based
a posteriori error estimation in the L1 norm
E Süli
- NA-06/17
-
Summing curious, slowly convergent, harmonic subseries
T Schmelzer, R Baillie
- NA-06/16
-
The Kink Phenomenon in Fejér and Clenshaw-Curtis Quadrature
J A C Weideman, L N Trefethen
- NA-06/15
-
A-posteriori error analysis of hp-version discontinuous Galerkin
finite element methods for second-order quasilinear elliptic problems
P Houston, E Süli, T P Wihler
- NA-06/14
-
Existence of global weak solutions to kinetic models for dilute polymers
J W Barrett, E Süli
- NA-06/13
- A-posteriori analysis and adaptive algorithms for the
quasicontinuum method in one dimension
C Ortner, E Süli
- NA-06/12
- A-priori analysis of the quasicontinuum method in one dimension
C Ortner, E Süli
- NA-06/11
- A-posteriori existence in adaptive computations
C Ortner
- NA-06/10
- Two-sided a posteriori error bounds for incompressible
quasi-Newtonian flows
S Berrone, E Süli
- NA-06/09
- Deducing the multi-trader population driving a financial market
N Gupta, R Hauser, N F Johnson
- NA-06/08
- A DC-programming algorithm for kernel selection
A Argyriou, R Hauser, C A Micchelli, M Pontil
- NA-06/07
- Is Gauss quadrature better than Clenshaw-Curtis?
L N Trefethen
- NA-06/06
- Numerical Analysis
L N Trefethen
- NA-06/05
- Discontinuous Galerkin finite element approximation of
nonlinear second-order elliptic and hyperbolic systems
C Ortner, E Süli
- NA-06/04
- On pseudospectra and power growth
T Ransford
- NA-06/03
- Multi-level Monte Carlo path simulation
M B Giles
- NA-06/02
- Some preconditioning techniques for saddle point problems
M Benzi, A J Wathen
- NA-06/01
- Algebraic tail decay of condition numbers for random conic
systems under a general family of input distributions
R Hauser, T Müller
2005
- NA-05/30
- Approximation to the mean curve in the LCS problem
C Durringer, R Hauser, H Matzinger
- NA-05/29
- Parabolic and hyperbolic contours for computing the Bromwich integral
J A C Weideman, L N Trefethen
- NA-05/28
- Taming a Hydra of Singularities
F Bornemann, T Schmelzer
- NA-05/27
- Computing the Gamma function using contour
integrals and rational approximations
T Schmelzer, L N Trefethen
- NA-05/26
- Updating the QR decomposition of block tridiagonal and block
Hessenberg matrices generated by block Krylov space methods
M H Gutknecht, T Schmelzer
- NA-05/25
- Using automatic differentiation for adjoint CFD code development
M B Giles, D Ghate, M C Duta
- NA-05/24
- Efficient agent-based models for non-genomic evolution
N Gupta, A Agogino, K Turner
- NA-05/23
- Using contstraint preconditioners with regularized saddle-point problems
H S Dollar, N I M Gould, W H A Schilders, A J Wathen
- NA-05/22
- A rational spectral collocation method with adaptively transformed Chebyshev grid points
T W Tee, L N Trefethen
- NA-05/21
- MMPDE vs SGWMFE Experiments in one dimension
A Wacher
- NA-05/20
- Talbot quadratures and rational approximations
L N Trefethen, J A C Weideman, T Schmelzer
- NA-05/19
- Finite element approximation of high-dimensional transport-dominated
diffusion problems
E Süli
- NA-05/18
- On iterative methods and implicit-factorization preconditioners for regularized saddle-point systems
H Sue Dollar, Nicholas I M Gould, Wil H A Schilders, Andrew J Wathen
- NA-05/17
- Sharp error estimates for discretisations of the 1D convection/diffusion equation with Dirac initial data
R Carter, M B Giles
- NA-05/16
- Convergence analysis of Crank-Nicolson and Rannacher time-marching
M B Giles, R Carter
- NA-05/15
- Smoking adjoints: fast evaluation of Greeks in Monte Carlo calculations
M B Giles, P Glasserman
- NA-05/14
- Computed eigenmodes of planar regions
L N Trefethen and T Betcke
- NA-05/13
- Ten Digit Algorithms
L N Trefethen
- NA-05/12
- A note on the design hp-version interior penalty
discontinuous Galerkin finite element methods
for degenerate problems
E H Georgoulis, A Lasis
- NA-05/11
- Continuum limits of a one-dimensional atomistic energy based on local minimization
C Ortner
- NA-05/10
- Two variational techniques for the approximation of curves of maximal slope
C Ortner
- NA-05/09
- Forecasting financial time series using artificial market models
N Gupta, R Hauser, N F Johnson
- NA-05/08
- Local uniqueness of alignments with a fixed proportion of gaps
R Hauser, H Matzinger
- NA-05/07
- On the discontinuous Galerkin method for Friedrichs
systems in graph spaces
M Jensen
- NA-05/06
- Some new results concerning the primal-dual path-following interior point
algorithm for linear programming
C Cartis
- NA-05/05
- Optimizing Talbot's contours for the inversion of the Laplace transform.
J A C Weideman
- NA-05/04
- On the convergence of a primal-dual second-order corrector interior
point algorithm for linear programming
C Cartis
- NA-05/03
- A randomized algorithm for the MaxFS problem
E Amaldi, P Belotti, R Hauser
- NA-05/02
- Extending constraint preconditioners for saddle point problems
H S Dollar
- NA-05/01
- Preconditioning harmonic unsteady potential flow calculations
A L Laird, M B Giles
2004
- NA-04/29
- Some equivalent characterisations of the polynomial
numerical hull of degree k
J Burke, A Greenbaum
- NA-04/28
- On implicit-factorisation constraint preconditioners
H S Dollar, N I M Gould, A J Wathen
- NA-04/27
- Some disadvantages of a Mehrotra-type promal-dual corrector
interior point algorithm for linear programming
C Cartis
- NA-04/26
- $\Gamma$-Limits of Galerkin Discretisations with Quadrature
C Ortner
- NA-04/25
- One-parameter discontinuous Galerkin finite element discretisation
of quasilinear parabolic problems
A Lasis, E Süli
- NA-04/24
- Stabilization mechanisms in discontinuous Galerkin finite element methods
F Brezzi, B Cockburn, D Marini, E Süli
- NA-04/23
- A-posteriori error estimators and RFB
A Cangiani, E Süli
- NA-04/22
- Existence of global weak solutions for some polymeric
flow models
J W Barrett, Ch Schwab, E Süli
- NA-04/21
- Finite element solution of a membrane covered
electrode problem
K Harriman, D Gavaghan, E Süli
- NA-04/20
- Application of hpDGFEM to mechanisms at
channel microband electrodes
K Harriman, D Gavaghan, E Süli
- NA-04/19
- Approximation of linear functionals using an
hp-adaptive discontinuous Galerkin finite element
method
K Harriman, D Gavaghan, E Süli
- NA-04/18
- The importance of adjoint consistency in the
approximation of linear functionals using the
discontinuous Galerkin finite element method
K Harriman, D Gavaghan, E Süli
- NA-04/17
- Sharp error estimates for a discretisation of the
1D convection/diffusion equation with Dirac initial data
M B Giles
- NA-04/16
- Computed tomography from X-rays: old 2-D results,
new 3-D problems
K Miller
- NA-04/15
- Computations of eigenvalue avoidance in planar domains
T Betcke, L N Trefethen
- NA-04/14
- Discontinuous Galerkin finite element approximation of quasilinear elliptic
boundary value problems I: The scalar case
P Houston, J A Robson, E Süli
- NA-04/13
- A posteriori error analysis of mixed finite element approximations to
quasi-Newtonian incompressible flows
J W Barrett, J A Robson, E Süli
- NA-04/12
- Time and space adaptivity for the second-order wave equation
C Bernardi, E Süli
- NA-04/11
- Eigenmode analysis for turbomachinery applications
P Moinier, M B Giles
- NA-04/10
- On the relationship between convergence rates of discrete
and continuous dynamical systems
R Hauser, J Nedic
- NA-04/09
- Spectral method for unsteady incompressible Navier-Stokes equations
in gauge formulation
T W Tee, I J Sobey
- NA-04/08
- Preconditioning and fast solvers for incompressible flow
A J Wathen
- NA-04/07
- Wave packet pseudomodes of variable coefficient differential operators
L N Trefethen
- NA-04/06
- A solenoidal finite element approach for prediction
of radar cross-sections
A N F Mack
- NA-04/05
- hp-version interior penalty DGFEMs for the biharmonic
equation
I Mozolevski, E Süli
- NA-04/04
- A moving grid finite element method for the simulation of
pattern generation by Turing models on growing domains
A Madzvamuse, P K Maini, A J Wathen
- NA-04/03
- A hydro-elastic model of hydrocephalus
A Smillie, I Sobey and Z Molnar
- NA-04/02
- Discontinuous Galerkin methods for first-order hyperbolic problems
F Brezzi, L D Marini, E Süli
- NA-04/01
- Incomplete factorization constraint preconditioners for saddle-point matrices
H S Dollar, A J Wathen
2003
- NA-03/18
- Boundedness theorems for the relaxation method
E Amaldi, R Hauser
- NA-03/17
- Enhanced RFB method
A Cangiani, E Süli
- NA-03/16
- Solving reaction-diffusion equations 10 times faster
A-K Kassam
- NA-03/15
- String gradient weighted moving finite elements for systems of partial
differential equations
A Wacher, I Sobey, K Miller
- NA-03/14
- Fourth-order time stepping for stiff PDEs
A-K Kassam, L N Trefethen
- NA-03/13
- Large deviation based upper bounds for the LCS-problem
R Hauser, S Martinez, H Matzinger
- NA-03/12
- Reviving the method of particular solutions
T Betcke, L N Trefethen
- NA-03/11
- hp-Version discontinuous Galerkin finite element methods for semilinear
parabolic problems
A Lasis, E Süli
- NA-03/10
- Poincaré-type inequalities for broken Sobolev spaces
A Lasis, E Süli
- NA-03/09
- Sparse approximate inverses and target matrices
R M Holland, A J Wathen, G J Shaw
- NA-03/08
- On tail decay and moment estimates of a condition number for random linear conic systems
D Cheung, F Cucker, R Hauser
- NA-03/06
- Optimal error estimates for the hp-version interior penalty discontinuous
Galerkin finite element method
E H Georgoulis and E Süli
- NA-03/05
- The continuous Newton-Raphson method can look ahead
R Hauser, J Nedic
- NA-03/04
- Block smoothed aggregation AMG preconditioning for oil reservoir simulation systems
A T Papadopoulos, H Tchelepi
- NA-03/03
- An extension of MATLAB to continuous functions and operators
Z Battles, L N Trefethen
- NA-03/02
- Pigmentation Pattern Formation in Butterflies - Experiments and Models -
F H Nijhout, P K Maini, A Madzvamuse, A J Wathen, T Sekimura
- NA-03/01
- The Nesterov-Todd direction and its relation to
weighted analytic centers (Final Revised Edition)
R Hauser
2002
- NA-02/22
- Wave packet pseudomodes of twisted Toeplitz matrices
L N Trefethen, S J Chapman
- NA-02/21
- hp-Version discontinuous Galerkin methods with interior
penalty for partial differential equations with nonnegative characteristic
form
K Harriman, P Houston, B Senior, E Süli
- NA-02/20
- A moving grid finite element method applied to a model biological
pattern generator
A Madzvamuse, A J Wathen, P K Maini
- NA-02/19
- The moving grid finite element method applied to biological problems
A Madzvamuse, R D K Thomas, T Sekimura, A J Wathen, P K Maini
- NA-02/18
- Pigmentation pattern formation in the butterfly wing of
Papilio dardanus
T Sekimura, A Madzvamuse, A J Wathen, P K Maini
- NA-02/17
- Implications of domain growth in morphogenesis
P K Maini, E J Crampin, A Madzvamuse, A J Wathen, R D K Thomas
- NA-02/16
- Barycentric Lagrange Interpolation
J-P Berrut and L N Trefethen
- NA-02/15
- Limited memory solution of complementarity problems arising in video games
M C Ferris and A J Wathen
- NA-02/14
- A multipole method for Schwarz-Christoffel mapping of polygons with thousands of sides
L Banjai and L N Trefethen
- NA-02/13
- Analysis of preconditioners for saddle-point problems
D Loghin and A J Wathen
- NA-02/12
- Preconditioned iterative solution of the 2D Helmholtz equation
A L Laird and M B Giles
- NA-02/11
- Mathematical programs with equilibrium constraints: automatic reformulation
and solution via constrained optimization
M C Ferris, S P Dirkse and A Meeraus
- NA-02/10
- Discrete adjoint approximations with shocks
M B Giles
- NA-02/09
- Linearized pipe flow to Reynolds number 107
Á Meseguer and L N Trefethen
- NA-02/08
- A predictive model for color pattern formation in the butterfly wing
of Papilio dardanus
A Madzvamuse, P K Maini, A J Wathen, T Sekimura
- NA-02/07
- Incomplete orthogonal factorization methods using Givens Rotations II:
implementation and results
A T Papadopoulos, I S Duff, A J Wathen
- NA-02/06
- Neuro-dynamic programming for radiation treatment planning
M C Ferris, M M Voelker
- NA-02/05
- Density and trace for graph spaces of first-order linear operators
M Jensen
- NA-02/04
- A preconditioner for the 3D Oseen equations
A Wathen, D Loghin, D Kay, H Elman, D Silvester
- NA-02/03
- A new perspective on the stability of unsteady stream-function voriticity calculations
E Sousa, I J Sobey
- NA-02/02
- Sobolev regularity estimation for hp-adaptive finite element methods
P Houston, B Senior, E Süli
- NA-02/01
- Adaptive finite element approximation of hyperbolic problems
P Houston, E Süli
2001
- NA-01/23
- Numerical solution of the omitted area problem of
univalent function theory
L Banjai, L N Trefethen
- NA-01/22
- The Tortoise and the Hare restart GMRES
M Embree
- NA-01/21
- Convergence of restarted Krylov subspaces to invariant subspaces
C Beattie, M Embree, J Rossi
- NA-01/20
- Schur complement preconditioning for elliptic systems
of partial differential equations
D Loghin, A J Wathen
- NA-01/19
- A spectral Petrov-Galerkin formulation for pipe flow II:
Nonlinear transitional stages
Á Meseguer and L N Trefethen
- NA-01/18
- Adjoint error correction for integral outputs
M B Giles, N A Pierce
- NA-01/17
- A numerical approach to the study of spatial pattern
formation in the ligaments of arcoid bivalves
A Madzvamuse, R D K Thomas, P K Maini, A J Wathen
- NA-01/16
- The spectral of large Toeplitz band matrices with
a randomly perturbed entry
A Böttcher, M Embree, V I Sokolov
- NA-01/15
- Algorithm developments for discrete adjoint methods
M B Giles, M C Duta, J-D Müller, N A Pierce
- NA-01/14
- Analysis of adjoint error correction for superconvergent
functional estimates
M B Giles, N A Pierce
- NA-01/13
- Eigenvalues and pseudospectra of rectangular matrices
T G Wright, L N Trefethen
- NA-01/12
- Nonnormal energy transient growth in the Taylor-Couette problem
Á Meseguer
- NA-01/11
- A family of finite difference schemes for the convection-diffusion equation
in two dimensions
E Sousa, I J Sobey
- NA-01/10
- Analysis of preconditioned Picard iterations for the Navier-Stokes
equations
D Loghin
- NA-01/09
- hp-DGFEM on shape-irregular meshes; reaction-diffusion problems
E H Georgoulis, E Süli
- NA-01/08
- On large Toeplitz matrices with an uncertain block
A Böttcher, M Embree, V I Sokolov
- NA-01/07
- hp-Discontinuous Galerkin finite element methods for problems: error analysis
and adaptivity
P Houston, E Süli, B Senior
- NA-01/06
- Adaptive discontinuous Galerkin finite element methods for nonlinear hyperbolic problems
R Hartmann, P Houston, E Süli
- NA-01/05
- hp-Adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems
P Houston, E Süli
- NA-01/04
- Variational approximation of flux in conforming finite element methods for elliptic
partial differential equations: a model problem
F Brezzi, T J R Hughes, E Süli
- NA-01/03
- Enhanced accuracy by post-processing for finite element methods for hyperbolic equations
B Cockburn, M Luskin, C-W Shu, E Süli
- NA-01/02
- Stability analysis of preconditioned approximations of the Euler equations on unstructured meshes
P Moinier, M B Giles
- NA-01/01
- Spectral approximation of banded Laurent matrices with localized random perturbations
A Böttcher, M Embree, M Lindner
2000
- NA-00/22
- The reliability of local error estimators for convection-diffusion equations
D Kay and D Silvester
- NA-00/21
- Understanding MA27 - A Numerical Example
C Keller
- NA-00/20
- Flutter and Forced Response of Mistuned Turbomachinery
M S Campobasso and M B Giles
- NA-00/19
- Piecewise continuous Toeplitz matrices and operators: slow approach to infinity
A Böttcher, M Embree, L N Trefethen
- NA-00/18
- A spectral Petrov-Galerkin formulation for pipe flow I: Linear stability and
transient growth
Á Meseguer and L N Trefethen
- NA-00/17
- Threshold amplitudes for transition to turbulence in a pipe
L N Trefethen, S J Chapman, D S Henningson, Á Meseguer, T Mullin and F T M Nieuwstadt
- NA-00/16
- Infinite Toeplitz and Laurent matrices with localized impurities
A Böttcher, M Embree, V I Sokolov
- NA-00/15
- Discontinuous hp-finite element methods for advection-diffusion problems
P Houston, Ch Schwab and E Süli
- NA-00/14
- An abstract formulation of the concept of entropy
J D P Donnelly
- NA-00/13
- Preconditioned iterative methods for implicit equations
A J Wathen
- NA-00/12
- Generalizing eigenvalue theorems to pseudospectra theorems.
M Embree and L N Trefethen
- NA-00/11
- Large-scale computation of pseudospectra using ARPACK and eigs.
T G Wright and L N Trefethen
- NA-00/10
- On the use of Runge-Kutta time-marching and multigrid for the solution of steady adjoint equations.
M B Giles
- NA-00/09
- Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy. Accuracy to channel microband electrodes.
K Harriman, D Gavaghan, P Houston, D Kay and E Süli
- NA-00/08
- The influence of unstructured mesh type on the prediction of convoluted shear layers
H Salman, J J McGuirk, G J Page and P Moinier
- NA-00/07
- Spectra, pseudospectra and localization for random bidiagonal matrices
L N Trefethen, M Contedini and M Embree
- NA-00/06
- A model for colour pattern formation in the butterfly wing of Papilio dardanus
T Sekimura, A Madzvamuse, A J Wathen and P K Maini
- NA-00/05
- Eigenmode analysis of boundary conditions for the one-dimensional preconditioned Euler equations
D L Darmofal, P Moinier and M B Giles
- NA-00/04
- An introduction to the adjoint approach to design
M B Giles and N A Pierce
- NA-00/03
- Analytic adjoint solutions for the quasi-1D Euler equations
M B Giles and N A Pierce
- NA-00/02
- Improved lift and drag estimates using adjoint Euler equations
M B Giles and N A Pierce
- NA-00/01
- Computing Lyapunov constants for random recurrences with smooth coefficients
T G Wright and L N Trefethen
1999
- NA-99/20
- A robust a posteriori estimator for the residual-free bubbles
method applied to advection-diffusion problems
G Sangalli
- NA-99/19
- Adaptive Finite Element Simulation of Steady State Currents at Microdisc Electrodes to a Guaranteed Accuracy
K Harriman, D Gavaghan, P Houston and E Süli
- NA-99/18
- Stabilized hp-Finite Element Approximation
of Partial Differential Equations with Nonnegative
Characteristic Form
P Houston and E Süli
- NA-99/17
- Efficient preconditioning of the linearized Navier-Stokes equations
D Silvester, H Elman, D Kay and A Wathen
- NA-99/16
- On dynamic computational subgrid modeling
J Hoffman and C Johnson
- NA-99/15
- A nearly optimal preconditioner for the Navier-Stokes equations
L Hemmingsson-Franden and A Wathen
- NA-99/14
- Modeling Subgrid Viscosity for Advection--Diffusion Problems
F Brezzi, P Houston, D Marini and E Süli
- NA-99/13
- A class of incomplete orthogonal factorization methods.
I: methods and theories
Z-Z Bai, I S Duff, A J Wathen
- NA-99/11
- hp-Finite Element Methods for Hyperbolic Problems
E Süli, P Houston, Ch Schwab
- NA-99/09
- A priori analysis for the semi-discrete approximation to the nonlinear damped wave equation
E Süli, C Wilkins
- NA-99/08
- How descriptive are GMRES convergence bounds?
M Embree
- NA-99/07
- A note on preconditioning for indefinite linear systems
M F Murphy, G H Golub, A J Wathen
- NA-99/06
- A Green's function preconditioner for the steady-state Navier-Stokes equations
D Kay, D Loghin
- NA-99/04
- A posteriori error analysis for stabilised finite element
approximations of transport problems
P Houston, R Rannacher, E Süli
- NA-99/03
- Computation of Pseudospectra
L N Trefethen
- NA-99/02
- hp-DGFEM for Partial Differential Equations with Nonnegative
Characteristic Form
E Süli, Ch Schwab, P Houston
- NA-99/01
- Constraint preconditioning for indefinite linear systems
C Keller, N I M Gould, A J Wathen
1998
- NA-98/21
- Green s functions for multiply connected domains via conformal
mapping
M Embree, L N Trefethen
- NA-98/20
- Multi-Adaptive Error Control for ODEs
A Logg
- NA-98/19
- The potential theory of several intervals and its applications
J Shen, G Strang, A J Wathen
- NA-98/18
- Adjoint recovery of superconvergent functionals from approximate
solutions of partial differential equations
N A Pierce, M B Giles
- NA-98/17
- Evolution Galerkin methods as finite difference schemes
K W Morton
- NA-98/16
- Finite difference approximation of a convection diffusion equation
near a boundary
E Sousa, I J Sobey
- NA-98/15
- Stiff oscillatory systems, delta jumps and white noise
B Cano, A M Stuart, E Süli, J O Warren
- NA-98/14
- Stabilized hp-finite element methods for first-order hyperbolic
problems
P Houston, C Schwab, E Süli
- NA-98/13
- Deploying fault tolerance and task migration with NetSolve
J S Plank, H Casanova, M Beck, J Dongarra
- NA-98/12
- Predictions for Scientific Computing Fifty Years from Now
L N Trefethen
- NA-98/11
- Residual-free bubbles for advection-diffusion problems:
the general error analysis
Franco Brezzi, Donatella Marini, Endre Süli
- NA-98/10
- Analysis and experiments for a computational model of a heat bath
A M Stuart, J O Warren
- NA-98/09
- How many shuffles to randomize a deck of cards?
Lloyd N Trefethen, Lloyd M Trefethen
- NA-98/08
- Schwarz-Christoffel Mapping in the Computer Era
Lloyd N Trefethen, Tobin A Driscoll
- NA-98/07
- A priori error analysis of a finite element method with
residual-free bubbles for advection dominated equations
Franco Brezzi, T J R Hughes, Donatella Marini, Alessandro Russo and
Endre Süli
- NA-98/05
- Smooth Numerical Representation of the Motion of Two
Linked Rigid Rods in R2 and R3
F S Chaudhry, D C Handscomb
- NA-98/04
- Smooth Motion of a Rigid Triangle in R2
F S Chaudhry, D C Handscomb
- NA-98/03
- Decay of the total variation and Hardy norms of solutions to
parabolic conservation laws
Maria Elena Schonbek and Endre Süli
- NA-98/02
- The adaptive computation of far-field patterns by a posteriori
estimation of linear functionals
Peter Monk and Endre Süli
- NA-98/01
- Computation of Deterministic Volatility Surfaces
Nicolas Jackson, Endre Süli, Sam Howison
1997
- NA-97/22
- The Random Recurrence xn+1 = xn ±
bxn-1
Mark Embree and Lloyd N Trefethen
- NA-97/21
- A posteriori error analysis and adaptivity for finite element
approximations of hyperbolic problems
E Süli
- NA-97/20
- Eigenvalues and Musical Instruments
V E Howle and Lloyd N Trefethen
- NA-97/19
- Smooth motion of a rigid rod in R3
F S Chaudhry and D C Handscomb
- NA-97/18
- Smooth motion of a rigid rod in R2
F S Chaudhry and D C Handscomb
- NA-97/17
- Random Fibonacci Sequences and the Number 1.13198824 ...
D Viswanath
- NA-97/16
- The convergence of iterative solution methods for symmetric and
indefinite linear systems
A J Wathen, B Fischer and D J Silvester
- NA-97/15
- Preconditioning the Advection-Diffusion Equation:
the Green's Function Approach
D Loghin and A J Wathen
- NA-97/14
- A Posteriori Error Indicators for Hyperbolic Problems
Paul Houston and Endre Süli
- NA-97/13
- The Kreiss Matrix Theorem on a General Complex Domain
Kim-Chuan Toh and Lloyd N Trefethen
- NA-97/12
- A Numerical Analyst Looks at the "Cutoff Phenomenon" in
Card Shuffling and Other Markov Chains
Gudbjorn F Jonsson and Lloyd N Trefethen
- NA-97/11
- On adjoint equations for error analysis and optimal grid adaptation
in CFD
M B Giles
- NA-97/10
- Stabilised finite element methods for steady incompressible flow
Henrik Blank, Michael Rudgyard and Andrew Wathen
- NA-97/09
- Theoretical and computational mechanics of a flexible cable
David Handscomb
- NA-97/08
- Aerodynamic design optimisation for complex geometries using
unstructured grids
M B Giles
- NA-97/07
- Aerospace design: a complex task
M B Giles
- NA-97/06
- Adaptive error control for finite element approximations of the
lift and drag coefficients in viscous flow
Michael Giles, Mats G Larson, J Marten Levenstam and Endre Süli
- NA-97/05
- Adaptive Finite Element Solution of 1D European Option Pricing
Problems
Nicholas Jackson and Endre Süli
- NA-97/04
- A Posteriori Error Analysis for Systems of Nonlinear
Convection-Diffusion Equations
Paul Houston and Endre Süli
- NA-97/03
- A Posteriori Error Analysis for Linear Convection-Diffusion Problems
Under Weak Mesh Regularity Assumptions
Paul Houston and Endre Süli
- NA-97/02
- A Semi-circulant Preconditioner for the Convection-Diffusion
Equation
L Hemmingsson
- NA-97/01
- On the analysis of finite volume methods for evolutionary
problems
K W Morton
1996
- NA-96/27
- L(infinity) estimates on the solutions of non-selfadjoint elliptic
and parabolic equations in bounded domains
A T Hill
- NA-96/25
- Analysis of finite element time domain methods in electromagnetic
scattering
P Monk, A K Parrott and A Le Hyaric
- NA-96/24
- Simulations of order transitions on a parallel computer
D C Handscomb
- NA-96/23
- Adaptive finite element methods for the damped wave equation
E Süli and C Wilkins
- NA-96/22
- Attractors for a second-order approximation of the incompressible
Navier-Stokes equations in two space dimensions
A T Hill and E Süli
- NA-96/21
- The stability of boundary conditions for an angled-derivative
difference scheme
K W Morton and N A Burgess
- NA-96/20
- Recent developments in evolution-Galerkin methods
K W Morton
- NA-96/19
- Iterative Methods for Problems in Computational Fluid Dynamics
H Elman, D Silvester and A Wathen
- NA-96/18
- Mixing Calculations in a Rotating Partitioned Pipe
C Glasgow and A K Parrott
- NA-96/17
- A BSP Approach to Dynamic Load Balancing Using a Constrained Diffusion
Algorithm
R Burrows and A K Parrott
- NA-96/16
- The multigrid solution of two-factor American put options
N Clarke and A K Parrott
- NA-96/14
- Fractal Characteristics of Newton's Method on Polynomials
M Drexler, I Sobey and C Bracher
- NA-96/13
- Approximation of multidimensional hyperbolic partial differential
equations
K W Morton
- NA-96/11
- Bulk Synchronous Parallelisation of Industrial Magnetic Software
M C Dracopoulos, C Glasgow, A K Parrott and J Simpkin
- NA-96/09
- Finite element methods for hyperbolic problems: a posteriori error
analysis and adaptivity
Endre Süli and Paul Houston
- NA-96/08
- Artificial viscosity for the cell vertex method
S M Stringer and K W Morton
- NA-96/07
- On the design of an artificial diffusion model for the
Lagrange-Galerkin method on unstructured triangular grids
P Houston and E Süli
- NA-96/06
- Stability and convergence of discretisations of initial value PDEs
M B Giles
- NA-96/05
- Particle tracking methods for residence time calculations in
incompressible flow
C Glasgow, A K Parrott and D C Handscomb
- NA-96/04
- Multiple knot B-spline representation of incompressible flow
C Glasgow, A K Parrott and D C Handscomb
- NA-96/03
- The theory, practice, and a tool for BSP performance prediction
applied to a CFD application
Jonathan M D Hill, Paul I Crumpton and David A Burgess
- NA-96/02
- Coercivity for One-dimensional Cell Vertex Approximations
K W Morton
- NA-96/01
- Diagonal Dominance and Positive Definiteness of Upwind Approximations
for Advection Diffusion Problems
G Golub, D Silvester, A Wathen
1995
- NA-95/26
- On the fractal characteristics of a stabilised Newton method
M Drexler, I J Sobey, C Bracher
- NA-95/25
- Genuinely high-resolution conservative algorithms for two-dimensional
advection
P Lin, K W Morton, E Süli
- NA-95/24
- Adaptive Lagrange-Galerkin methods for unsteady convection-dominated
diffusion problems
P Houston and E Süli
- NA-95/23
- Multiresolution and wavelets
D C Handscomb
- NA-95/22
- The adaptive CCCG(eta) method for efficient solution of time dependent
partial differential equations
F F Campos, N R C Birkett
- NA-95/21
- Parallel visulations of unstructured grids
P I Crumpton, R Haimes
- NA-95/20
- A parallel framework for unstructured grid solvers
D A Burgess, P I Crumpton, M B Giles
- NA-95/19
- An efficient cell vertex method for unstructured tetrahedral grids
P I Crumpton
- NA-95/18
- Aircraft computations using multigrid and an unstructured parallel
library
P I Crumpton, M B Giles
- NA-95/17
- Implicit time accurate solutions on unstructured dynamic grids
P I Crumpton, M B Giles
- NA-95/16
- Absorbing boundary conditions for the reduced wave equation
J D P Donnelly
- NA-95/15
- Finite Volume Methods for CFD
K W Morton
- NA-95/14
- A posteriori error analysis and global error control for adaptive
finite element approximations of hyperbolic problems
E Süli
- NA-95/13
- Stability and accuracy of numerical boundary conditions in
aeroelastic analysis
M B Giles
- NA-95/12
- Stability analysis of numerical interface boundary conditions for
parabolic equations
M B Giles
- NA-95/11
- A posteriori error estimation based on discrepancies in an entropy
variable
J G Andrews, K W Morton
- NA-95/10
- Preconditioning on stretched meshes
N A Pierce, M B Giles
- NA-95/09
- Errors of linear interpolation on a triangle
D C Handscomb
- NA-95/08
- Domain decomposition preconditioning
K Terekhova, D F Mayers
- NA-95/07
- Finite volume methods for inviscid and viscous flows, steady and
unsteady
K W Morton, S M Stringer
- NA-95/06
- Renumbering unstructured grids to improve the performance of codes
on hierarchical memory machines
D A Burgess, M B Giles
- NA-95/05
- Controlled Cholesky factorisation for preconditioning the Conjugate
Gradient method
F F Campos, J S Rollett
- NA-95/04
- Stability analysis of Galerkin/Runge-Kutta Navier-Stokes
discretisations on unstructured grids
M B Giles
- NA-95/03
- Analysis of the accuracy of shock-capturing in the steady quasi-1D
Euler equations
M B Giles
- NA-95/02
- Godunov Type of the Euler Characteristic Galerkin Scheme for One
Dimensional Scaler Conservation Laws
P Lin
- NA-95/01
- A posteriori analysis of Petrov-Galerkin approximations of Friedrichs
systems
J A Mackenzie, E Süli, G Warnecke
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