The Numerical Analysis group published a series of reports detailed below. Some of these reports are available online. This series has now been subsumed into the Preprint series and the Mathematics Report series:
- 2007
- 2006
- 2005
- 2004
- 2003
- 2002
- 2001
- 2000
- 1999
- 1998
- 1997
- 1996
- 1995
- 1994
- 1993
- 1992
- 1991
- 1990
- 1989
- 1988
- 1987
- 1986
- 1985
- 1984
- 1983
- 1982
- 1981
- 1980
2007
1/2007 Weak constraints in four-dimensional variational (PDF-985Kb)
L.R. Watkinson, A.S. Lawless, N.K. Nichols and I. Roulstone
2/2007 Towards data assimilation for high resolution nested models (PDF-133Kb)
G.M. Baxter, S.L. Dance, A.S. Lawless, N.K. Nichols and S.P. Ballard
3/2007 Correlated observation errors in data assimilation (PDF-606KB)
L.M. Stewart, S.L. Dance and N.K. Nichols
4/2007 Modelling of forecast errors in geophysical fluid flows (PDF-181KB )
R.N. Bannister, D. Katz, M.J.P. Cullen, A.S. Lawless and N.K. Nichols
5/2007 Approximate Gauss-Newton methods using reduced order models (PDF-180KB)
A.S. Lawless, N.K. Nichols, C. Boess, A. Bunse-Gerstner
6/2007 Existence and properties of solutions for neural field equations (PDF-276KB)
P. beim Graben and R. Potthast
7/2007 Modelling the diurnal variability of sea surface temperatures (PDF-1.6MB)
S. Pimentel, K. Haines, N.K.Nichols
8/2007 The assimilation of satellite derived sea surface temperatures into a diurnal cycle model (PDF-648KB)
S. Pimentel, K. Haines, N.K.Nichols
9/2007 Orthogonality sampling for object visualization (PDF-829MB)
R. Potthast
10/2007 Simple models of changing bathymetry with data assimilation (PDF-338KB)
P.J. Smith, M.J. Baines, S.L. Dance, N.K. Nichols and T.R. Scott
2006
1/2006 Use of potential vorticity for incremental data assimilation
M.A. Wlasak, N.K. Nichols & I. Roulstone
2/2006 Using constraint preconditioners with regularized saddle-point problems
H.S. Dollar, N.I.M. Gould, W.H.A. Schilders & A.J. Wathen
3/2006 Constraint-style preconditioners for reqularized saddle point problems
H.S. Dollar
4/2006 Information content of spatially correlated observation errors
L.M. Stewart, S.L. Dance & N.K. Nichols
5/2006 A note on permutations for quadratic programming problems
H.S. Dollar
6/2006 Unbiased ensemble square root filters
D.M. Livings, S.L. Dance, and N.K. Nichols
7/2006 A Galerkin boundary element method for high frequency scattering by convex polygons
S.N.Chandler-Wilde and S. Langdon
8/2006 A comparison of potential vorticity-based and vorticity-based control variables
D. Katz, A.S. Lawless, N.K. Nichols1, M.J.P. Cullen and R.N. Bannister
9/2006 Small- and waiting-time behaviour of the thin-film equation
J.F. Blowey, J.R. King and S.Langdon
10/2006 Using model reduction methods within incremental 4D-Var
A.S.Lawless, N.K.Nichols, C.Boess and A. Bunse-Gerstner
11/2006 Scale analysis of observational information in data assimilation
G.M. Baxter, S.L. Dance, A.S. Lawless and N.K. Nichols
12/2006 Convergence and numerics of a multi-section method for scattering by three-dimensional rough surfaces
Eric Heinemeyer, Marko Lindner and Roland Potthast
13/2006 On source analysis by wave splitting with applications in inverse scattering of multiple obstacles
Fahmi Ben Hassen, Jijun Liu and Roland Potthast
2005
1/2005 A cell by cell adaptive mesh Lagrangian scheme for the numerical solution of the Euler Equations
J. M. Morrell
2/2005 Additive Schwarz preconditioning for p-version triangular and tetrahedral finite elements.
J. Schoeberl, J.M. Melenk, C. Pechstein, and S. Zaglmayr
3/2005 Fast algorithms for setting up the stiffness matrix in hp-FEM: a comparison.
T. Eibner, J.M. Melenk
4/2005 A singular vector perspective of 4D-Var: The spatial structure and evolution of baroclinic weather systems
C. Johnson, B. J. Hoskins, N. K. Nichols and S. P. Ballard
5/2005 Inner loop stopping criteria for incremental four-dimensional variational data assimilation
A.S. Lawless and N.K. Nichols
6/2005 Efficient evaluation of highly oscillatory acoustic scattering surface integrals
M. Ganesh, S. Langdon, I.H. Sloan
7/2005 A collocation method for high frequency scattering by convex polygons
S. Arden, S.N. Chandler-Wilde, S. Langdon
2004
1/2004 A singular vector perspective of 4D-VAR: Filtering and interpolating..
C. Johnson, N.K. Nichols and B.J. Hoskins
2/2004 An investigation of incremental 4D-Var using non-tangent linear models
A.S. Lawless, S.Gratton and N.K. Nichols
3/2004 Approximate iterative methods for variational data assimilation
A.S. Lawless, S. Gratton and N.K. Nichols
4/2004 Variational data assimilation for Hamiltonian problems
L.R. Stanton, A.S. Lawless, N.K. Nichols and I. Roulstone
5/2004 Very large inverse problems in atmosphere and ocean modelling
C. Johnson, N.K. Nichols and B.J. Hoskins
6/2004 Preconditioners for inhomogenous anisotropic problems in spherical geometry
D.E.Brown, N.K.Nichols and M.J.Bell
7/2004 A ghost fluid, moving finite volume plus remap method for compressible Euler flows
D.A. Bailey, P.K. Sweby and P. Glaister
8/2004 Generation of Arbitrary Lagragian-Eulerian (ALE) Velocities, based on monitor functions, for the solution of compressible flow equations
B.V. Wells, M.J. Baines and P. Glaister
9/2004 Approximate Gauss-Newton methods for nonlinear least squares problems
S.Gratton, A.S. Lawless and N.K. Nichols
10/2004 A local error analysis of the boundary concentrated FEM
T. Eibner and J.M. Melenk
11/2004 On Approximation in Meshless Methods
J.M. Melenk
12/2004 On Approximation in Meshless Methods
T. Eibner and J.M. Melenk
2003
1/2003 Lagrange-Remap methods for the Euler Equations for single and multi gas flow..
D.A. Bailey
2002
1/2002 Four Dimensional Variational Data Assimilation in the Presence of Idealised Rapidly Growing Weather Systems
C Johnson, N.K. Nichols, B.J. Hoskins, S.P. Ballard & A.S. Lawless
2/2002 A moving mesh method for non-linear parabolic problems
K.W. Blake & M.J. Baines
3/2002 Linearising the Kepler Problem for 4D-Var Data Assimilation
Laura Stanton
4/2002 Crowded - Macroscopic and microscopic models for pedestrian dynamics
Penny Marno
5/2002 On the numerical solution of selected integrable nonlinear wave equations
Malachy McConnell
2001
1/2001 Numerical solution of hyperbolic systems of conservation laws with source terms - Part I
A C Lemos, M J Baines and N K Nichols
2/2001 Numerical modelling of traffic on the M25 motorway: Part 1
Joanne Morgan
3/2001 Numerical modelling of traffice on the M25 motorway: Part II
Joanne Morgan
4/2001 A comparison of two methods for developing the linearization of a shallow water model
A S Lawless, N.K.Nichols and S. P Ballard
2000
1/2000 Mesh movement by mass conservation
K.W. Blake
2/2000 Numerical Formulations for approximating the Equations Governing Bed-Load Sediment Transport in Channels and Rivers.
J. Hudson and P.K. Sweby
3/2000 A new method for solving the 2-D advection equation
A. Laird
4/2000 Finite differences applied to stochastic problems in pricing derivatives
S. Christodoulou
5/2000 Galerkin methods for coupled integral equations
S.H. Man
6/2000 A marker and cell solution of the incompressible Navier-Stokes equations for free surface flow
B. Weston
7/2000 The solution of steady PDEs on adjustable meshes in multidimensions using local descent methods
M.J. Baines
8/2000 Multidimensional least squares fluctuation distribution schemes with adaptive mesh movement for steady hyperbolic equations
M.J. Baines, S.J. Leary and M.E. Hubbard
1999
1/99 On the accuracy of one-dimensional models of steady converging/diverging open channel flows.
M.E. Hubbard
2/99 Numerical techniques for the Shallow Water Equations.
J. Hudson
3/99 Flux difference splitting and the balancing of source terms and flux gradients
M.E. Hubbard and P.Garcia-Navarro
4/99 Aspects of multidimensional upwinding: time-dependent nonlinear systems, source terms, spherical geometries and three-dimensional grid adaptation
M.E. Hubbard
5/99 High order advection schemes: automatic generation
R. Lashley
6/99 Robust eigenstructure assignment in quadratic matrix polynomials: nonsingular case
N.K. Nichols & J Kautsky
7/99 Godunov Methods
P.K. Sweby
8/99 The use of moving grids in contour zoning
K.W. Blake
9/99 Adjoint methods in data assimilation for estimating model error
A.K. Griffiths and N.K. Nichols
10/99 High Order Advection Schemes; Automatic Generation.
R.K. Lashley
11/99 Moving finite element, least squares and finite volume approximations of steady and time-dependent PDEs in multidimensions
M.J. Baines
1998
1/98 Multidimensional upwind fluctuation distribution schemes for scalar time dependent problems
M.E. Hubbard and P.L. Roe
2/98 Multidimensional slope limiters for MUSCL-type finite volume schemes.
M.E. Hubbard
3/98 Bifurcation analysis of eigenstructure assignment control in a simple nonlinear aircraft model
L.P. Gibson, N.K. Nichols and D.M. Littleboy
4/98 Application of variational data assimilation to the Lorenz equations using the adjoint method
M.A. Wlasek and N.K. Nichols
5/98 Adjoint Methods for Treating Model Error in Data Assimilation
A.K. Griffith and N.K. Nichols
6/98 Fluctuation distribution schemes on adjustable meshes for scalar hyperbolic equations
M.J. Baines and S.J. Leary
7/98 Interim report on the application of non-linear optimal control techniques in open channel water management
I. Villanueva
8/98 Multidimensional slope limiters for MUSCL-type finite volume schemes II - on improving existing unstructured grid techniques
M.E. Hubbard
9/98 Numerical methods for the Emden-Fowler equations
A.C. Lemos, M.J. Baines and N.K. Nichols
1997
1/97 Conservative multidimensional upwinding for the steady two-dimensional shallow water equations.
M.E. Hubbard and M.J. Baines
2/97 On variational and least squares methods with adjustable nodes
M.J. Baines
3/97 Least squares, equidistribution and conservation
M.J. Baines
4/97 Interface tracking using Eulerian methods with a Lagrangian phase
P. Sims
5/97 Modal coupling in linear control systems using robust eigenstructure assignment
D.M. Littleboy and N.K. Nichols
6/97 Least squares minimisation and a steepest descent method for the scalar advection equation and a Cauchy-Riemann system on an adaptive grid.
M.E. Hubbard
7/97 A collection of MATLAB subroutines for the implementation of damped algebraic Riccati equations
J.J. Hench
8/97 A note on duality in a scalar hyperbolic equation
M.J. Baines
9/97 Numerical experiments on the solution of a scalar advection equation by least squares on optimal grids
S.J. Leary
10/97 Variational data assimilation: a study
M.A. Wlasek
11/97 An upwind scheme for the 2D shallow water equations with applications
P. Brufau
1996
1/96 Evaluation of the proposed new unified model scheme vs the current unified model scheme on the shallow water equations
A.J. Malcolm
2/96 Accounting for model error in data assimilation using adjoint methods
A.K.Griffith and N.K.Nichols
3/96 Optimal strategies for the control of wave energy converters with various power-take-off mechanisms
N.K. Nichols and A. Crossley
4/96 Numerical variational techniques on adjustable meshes
M.J. Baines
5/96 A note on damped algebraic Riccati equations
C-Y. He, J.J. Hench and V. Mehrmann
6/96 A first principles derivation of a simple non-linear aerodynamic model
J.J. Hench and N.K. Nichols
7/96 Approximate solutions of partial differential equations on optimal meshes using variational principles
M.J. Baines
1995
1/95 Computation of the net present value of a reservoir with uncertain data..
M.P. Dainton and N.K. Nichols
2/95 Comparisons of some steady state Saint-Venant solvers for some test problems with analytic solutions.
I. MacDonald, M.J. Baines, N.K.Nichols and P.G. Samuels
3/95 Steady open channel test problems with analytic solutions.
I. MacDonald, M.J. Baines, N.K. Nichols and P.G. Samuels
4/95 Conservative multidimensional upwinding for the shallow water equations.
M.E. Hubbard, P. Garcia-Navarro and M.J. Baines
5/95 A dynamical approach study of some explicit and implicit and TVD schemes and their convergence to steady-state solutions
P.A. Burton and P.K. Sweby
6/95 Use of a discrete norm in best piecewise constant approximation of continuous functions on irregular grids
M.J. Baines
7/95 An MFE-like method for best approximation
M.J. Baines
8/95 Properties of a grid movement algorithm
M.J. Baines
9/95 Grid adaptatin for 1-D unsteady problems
P. Garcia-Navarro
10/95 Direct computation of stochastic flow in reservoirs with uncertain parameters
M.P. Dainton, M.H. Goldwater, N.K. Nichols
11/95 Improving second moment conservation in semi-Lagrangian methods
A. Priestley and P. Garcia-Navarro
12/95 Comparison of explicit and implicit TVD schemes for the shallow water equations on a sphere
A.J. Crossley
13/95 The use of variational principles in determining approximations to continuous and discontinuous shallow water flows
S.L. Wakelin, M.J. Baines and D. Porter
1994
1/94 The state estimation of flow demands in gas networks from sparse pressure telemetry.
N.K. Nichols and S.M. Stringer
2/94 A numerical method for the computation of the analytic singular value decomposition.
S.J.G. Bell and N.K. Nichols
3/94 Genuinely multidimensional upwinding for the 2D shallow water equations.
P. Garcia-Navarro, M.E. Hubbard and A. Priestley
5/94 Gaussian elimination with pivoting for multi-diagonal systems
C.I. Christov
6/94 Test problems with analytic solutions for steady open channel flow.
I. MacDonald
7/94 Analysis and computation of steady open channel flow using a singular perturbation.
I. MacDonald, M.J. Baines and N.K. Nichols
8/94 Grid adaptation and multidimensional upwinding.
M.E. Hubbard
9/94 Direct solution of reservoir flow equations with uncertain parameters.
M.P. Dainton, M. Goldwater, N.K. Nichols
10/94 Data assimilation using optimal control theory..
A.K. Griffith and N.K. Nichols
11/94 Data assimilation using observers.
A.K. Griffith and N.K. Nichols
1993
1/93 On algorithms for best L2 fits to continuous functions with variable nodes.
M.J. Baines
2/93 A hybrid central/upwind approach to the solution of the one dimensional Euler equations.
M.E. Hubbard
3/93 Error measurements for semi-Lagrangian schemes.
C.J. Smith
4/93 The Lagrange-Galerkin method: quadrature is dead, long live inexact integration
A. Priestley
5/93 Application of the Taylor-Galerkin method to transport problems in subsurface hydrology.
K.J. Neylon
6/93 A conservative and shape-preserving semi-Lagrangian method for the solution of the shallow water equations.
P. Garcia-Navarro and A. Priestley
7/93 A survey of genuinely multi-dimensional upwinding techniques.
M.E. Hubbard
8/93 Numerical experiences with Bi-CGSTAB on an advection-diffusion..
K.J. Neylon
9/93 Numerical methods for the solution of systems of uncertain steady-state differential equations.
M.P. Dainton
10/93 The application of an implicit TVD method for water flow modelling in channels and pipes.
P. Garcia-Navarro and A. Priestley
11/93 Integral operators of Sturm-Liouville type
D. Porter and D.S.G. Stirling
13/93 Dynamic-algebraic equations and control system design
N.K. Nichols
1992
2/92 A quasi-conservative version of the semi-Lagrangian advection scheme
A. Priestley
3/92 The implementation of a direct domain decomposition method on a small transputer system.
K.J. Neylon
4/92 Variational principles for free surface flows.
S.L. Wakelin
5/92 MASTERFUL - Monotonic Adaptive Solutions of Transient Equations using Recovery, Fitting, Upwinding and Limiters.
M.J. Baines
6/92 The rate of convergence of the viscosity method for a nonlinear hyperbolic system
Y.G. Lu, P.K. Sweby and K. Chen
7/92 Backwater analysis for channel flows and side-weirs using IDES
A. Priestley
8/92 The application of Roe's scheme to two problems of engineering interest
A. Priestley
9/92 Steady flow in channels with decreasing discharge: theory and computation
D. Porter and A. Priestley
10/92 Approximations to channel flows using variational principles.
S.L. Wakelin
11/92 An analysis of some higher-order triangular elements and their susceptibility to hourglassing in Lagrangian fluid simulations
A. Priestley
12/92 Optimal growth strategies when mortality and production rates are size-dependent
N. Perrin, R.M. Sibly and N.K. Nichols
1991
1/91 The Taylor Galerkin method for advection on the sphere
A. Priestley
2/91 On the relationship between the moving finite element procedure and best piecewise linear L2 fits
M.J. Baines
3/91 Regularization of descriptor systems by derivative and proportional state feedback
N.K. Nichols, A Bunse-Gerstner and V. Mehrmann
4/91 Equidistribution and the Legendre transformation
M.J. Baines and S.L Wakelin
5/91 An investigation of the form of an optimal controller in a tidal power generation scheme with two controls
Z.G. Xu and N.K. Nichols
6/91 Hydrodynamic modelling and optimal control of tidal power schemes in long estuaries
Z.G. Xu and N.K. Nichols
7/91 On spurious asymptotic numerical solutions of 2x2 systems of ODEs.
P.K. Sweby and H.C. Yee (NASA)
8/91 Numerical methods for optimal control problems with state constraints
S. Lyle and N.K. Nichols
9/91 The Taylor-Galerkin method for the shallow water equations on the sphere
A. Priestley
10/91 On time step selection for solving 1D nonlinear diffusion equations
K.Chen, M.J. Baines and P.K. Sweby
11/91 An adaptive time stepping strategy for the ASWR semiconductor diffusion model simulator
K.Chen, M.J. Baines and P.K. Sweby
12/91 The Legendre transformation and grid generation in two dimensions..
S.L. Wakelin
13/91 Black oil reservoir simulation in 1-D via the higher order Godunov method.
E.M. Dicks
14/91 On unconditionally linearly stable centred and upwind semi-implicit methods for convection and convection diffusion problems
M.J. Baines
15/91 PLAGIARISM: Priestley's LAgrange Galerkin Is A Really Interesting Sheme & Monotone. The multidimensional monotone and nearly conservative Lagrange-Galerkin method
A. Priestley
16/91 Shock fitting for the 2D Euler equations
P.D. Arnold
1990
1/90 A survey of some data-dependent criteria for triangular tessellations using fixed nodes
A. Malcolm
2/90 A comparison of the directional difference scheme and Roe's scheme for the approximate solution of transient flow of an ideal gas in a pipe
S. Emmerson
3/90 On spurious steady-state solutions of explicit Runge-Kutta schemes
P.K. Sweby, H.C. Hee (NASA) and D.F. Griffiths (Dundee)
5/90 A quasi-Riemann method for the solution of one-dimensional shallow water flow
A. Priestley
6/90 On best piecewise linear L 2 fits with adjustable nodes
M.J. Baines and N. Carlson (Univ. of California)
7/90 Robust pole assignment in systems subject to structured perturbations
J. Kautsky (Flinders University) and N.K. Nichols
8/90 The form of optimal controllers for tidal-power-generation-schemes
T.P. Andrews, N.K. Nichols and Z. Xu
9/90 Shock structure for physical gases
P.C. Samuels
10/90 A search for new finite elements to be used in conjunction with free-Lagrangian methods
A. Priestley
11/90 Moving finite element procedures and overturning solutions
M.J. Baines and C.P. Reeves
12/90 On best piecewise constant L 2 fits with adjustable nodes
M.J. Baines
13/90 Analysis and experiments of a set of three-level semi-implicit finite difference schemes for nonlinear parabolic equations
K. Chen
14/90 Conjugate gradient methods for the solution of boundary integral equations on a piecewise smooth boundary
K. Chen
15/90 On piecewise linear and constant L 2 fits with adjustable nodes in 2-D
M.J. Baines
16/90 Data-dependent criteria for nodal placement with fixed connectivity in triangular grids.
A. Malcolm
17/90 On stability radius of generalized state-space systems.
R. Byers and N.K. Nichols
18/90 Experiments with 2D shock fitting for the Euler equations
P.D. Arnold
1989
1/89 Shocked flow in nozzles
J. Wixcey
2/89 The spectral Lagrange Galerkin method for the atmospheric transportation of pollutants
A. Priestley
3/89 A practical model for heavy oil recovery
R. Brown
4/89 The spectral Lagrange-Galerkin method for the atmospheric transportation of pollutants. Part II. Stability of the non-exact integration
A. Priestley
5/89 Moving finite elements and approximate Legendre transformations
M.J. Baines
6/89 Source terms and conservation laws: a preliminary discussion
P.K. Sweby
7/89 The application of optimal control theory to tidal-power-generation problems
R. Moody
8/89 The numerical solution of one-dimensional shallow-water problems using the Taylor-Galerkin method
R. Moody
9/89 The spectral Lagrange-Galerkin method for the atmospheric transportation of a pollutant! Part III. The atmospheric transportation of a pollutant!
A. Priestley
10/89 Foundations for the study of systems of conservation laws with limiting diffusion
P. Samuels
11/89 On derivative and proportional feedback design for descriptor systems
A. Bunse-Gerstner, Volker Mehrmann, N.K. Nichols.
12/89 Shock behaviour and diffusion
P. Samuels
13/89 Roe-type schemes for super-critical flows in rivers
A. Priestley
14/89 On stability of descriptor systems
R. Byers, and N.K. Nichols
15/89 On the convergence of the Ritz-Galerkin technique for solving two-dimensional optimal shape problems
S. Lyle and N.K. Nichols
16/89 Inequality constrained finite elements and conjugate gradients
N.R.C. Birkett
17/89 A comparision between two moving finite element methods
C.P. Reeves
1988
1/88 Shock-modelling with body-fitted meshes using a local parameterisation of the equation of state
P. Glaister
2/88 A survey of operator splitting applied to upwind differencing
J.J. Barley
3/88 Robust pole assignment in singular control systems
J. Kautsky, N.K. Nichols and E.K.-W. Chu
4/88 Weak non-symmetric shocks in one-dimension
P. Samuels
5/88 Comments on the numerical integration of a class of singular perturbation problems
N.K. Nichols
6/88 Interfacing of an oxidation model with the two-dimensional Moving Finite Element Model of dopant diffusion
N.S. Cooper
7/88 An analysis of properties of the shock tip in two-dimensional steady compressible flow
P. Samuels
8/88 Optimisation of steam injection into an oil reservoir
R. Brown
9/88 Roe's scheme, Euler equations, Cartesian grids, non-Cartesian geometries, rigid walls and there's more
A. Priestley
10/88 Stability of descriptor systems.
R. Byers (Univ of Kansas) and N.K. Nichols
11/88 On the solution of nonlinear diffusion equations
M.J. Baines
12/88 Compressible flow in ducts - analytic aspects
J. Wixcey
13/88 Compressible flow in ducts - variational aspects
J. Wixcey
14/88 Compressible flow in ducts - an adaptive grid method
J. Wixcey
15/88 Numerical approximation of the Legendre transformation
M.J. Baines
16/88 Roe's scheme, Euler equations, Cartesian grids, non-Cartesian geometries, rigid walls - The continuing story
A. Priestley
17/88 Output feedback via state feedback and least squares
S. Slade
18/88 The implementation of boundary conditions in the application of Roe's scheme to aeronautical flows on Cartesian grids
A. Priestley
1987
1/87 Stability properties of some algorithms for the solution of non-linear dynamic vibration equations
W.L. Wood and M.E. Oduor
2/87 An approximate Riemann solver for compressible flows with axial symmetry
P. Glaister
3/87 A numerical simulation of one-dimensional dopant diffusion in oxidising silicon
R.O. Moody and C.P. Please
4/87 A two dimensional algorithm for the non-linear equations of gas dynamics employing operator splitting
J.J. Barley
5/87 Moving finite element modelling of the 2-D shallow water equations
R.D. Alstead
6/87 Second order difference schemes for hyperbolic conservation laws with source terms
P. Glaister
7/87 Data-dependent grids
P.K. Sweby
8/87 Roe type schemes for the 2-D shallow water equations
A. Priestley
9/87 Difference schemes for the shallow water equations
P. Glaister
10/87 A constrained moving finite element method for moving boundary problems
R.O. Moody
11/87 A two-dimensional compressible solver incorporating body-fitted coordinates
P. Glaister
12/87 Moving finite envelopes
M.J. Baines
13/87 Some observations on the moving finite element method and its implementation
Peter K. Sweby
14/87 Roe's scheme, Euler equations, Cartesian grids, non-cartesian geometries, rigid walls and all that
A. Priestley
15/87 On the efficient solution of the Euler equations with real gases
P. Glaister
16/87 An implicit regridding algorithm with an underlying fixed grid, for front, shock or boundary tracking
D.E. Heath
1986
1/86 Latching control for the point-absorber wave-power device
Ruth E. Hoskin and Nancy K. Nichols
2/86 Projections and constraints II
M.J. Baines
4/86 Shock modelling on irregular grids
P. Glaister
5/86 A transformation to assist numerical solution of diffusion equations
C.P. Please and P.K. Sweby
6/86Robustness in partial pole placement
N.K. Nichols
7/86 An approximate linearised Riemann solver for the Euler equations in one dimension with a general equation of state
P. Glaister
8/86 A numerical study of a non-Newtonian flow problem
M.F. Webster, E.E. Suli and K.W. Morton
9/86 Non-linear optimal control of tidal power schemes in long estuaries
N.R.C. Birkett
12/86 An approximate Riemann solver for three-dimensional multifluid flows using operator splitting
P. Glaister
14/86 Bordered matrices and applications to ergodic Markov chains
King-Wah Eric Chu
15/86 A note on the pole assignment of q-D linear systems
K.-w. E. Chu
16/86 On the controllability of descriptor systems
K.-w. E. Chu
17/86 Numerical simulation of hot fluid injection into porous media
D.E. Heath
18/86 A review of the Lanczos method applied to generalised non-symmetric eigenproblems
S. Slade
19/86 Moving finite elements: regularisation techniques
M.J. Baines
1985
1/85 On approximate solutions of time-dependent partial differential equations by the moving finite element method
M.J. Baines
2/85 Nonlinear optimal control problems in tidal power calculations
N.R.C. Birkett
3/85 Superconvergent estimation of the gradient from linear finite element approximations on triangular elements
Nick Levine
4/85 Moving finite element modelling of compressible flow
M.J. Baines and A.J. Wathen
5/85 Generalizations of the Bauer-Fike theorem
King-wah Eric Chu
6/85 A unified set of single-step algorithms. Part 4: Backward error analysis applied to the solution of the dynamic vibration equation
W.L. Wood
8/85 Flux difference splitting techniques for the Euler equations in non-cartesian geometry
P. Glaister
9/85 Local moving finite elements
M.J. Baines
10/85 The solution of the matrix equations AXB - CXD = E and (YA - DZ, YC - BZ) = (E,F)
King-wah Eric Chu
11/85 Exclusion theorems and the perturbation analysis of the generalized eigenvalue problem
King-wah Eric Chu
12/85 Moving finite elements for nonlinear diffusion problems in one and two dimension
I.W. Johnson
13/85 A numerical study of incompressible flow problems of non-newtonian or turbulent type
M.F. Webster
14/85 A semi-robust pole assignment algorithm for linear state feedback
King-wah Eric Chu
15/85 Moving finite elements: projections and constraints
M.J. Baines
16/85 Singular value and generalised singular value decompositions and the solution of linear matrix equations
King-wah Eric Chu
17/85 A moving finite element solution of the one-dimensional Crank-Gupta problem
R.O. Moody
18/85 Benchmark problems in fluid flow modelling
M.F. Webster and P.K. Sweby
19/85 On matching the SSpj and GNpj algorithms
W.L. Wood
20/85 Mobile finite elements
M.G. Edwards
1984
1/84 A fully two-dimensional finite difference method on a regular grid for systems of conservation laws
M.J. Baines
2/84 The hole-pressure problem
M.F. Webster
3/84 The moving finite element method for the viscous Burgers' equation
I.W. Johnson
4/84 A numerical algorithm for the most economical structural synthesis of linear control systems
King-wah Eric Chu
5/84 Robust pole assignment in linear state feedback
J. Kautsky, N.K. Nichols and P. Van Dooren
6/84 Pointwise logarithm-free error estimates for finite elements on linear triangles
Nick Levine
7/84 Robust multiple eigenvalue assignment by state feedback in linear systems
J. Kautsky and N.K. Nichols
8/84 Regularity and robust pole assignment in singular control systems
J. Kautsky, N.K. Nichols and E. K-W. Chu
9/84 A flux limiter based on Fromm's scheme
M.J. Baines and P.K. Sweby
10/84 Comparison of some single-step methods for the numerical solution of the structural dynamic equation
S.N. Penry and W.L. Wood
11/84 On the schemes of Jameson, Davis & Roe
M.G. Edwards
1983
1/83 Numerical algorithms for the non-linear scalar wave equation
M.J. Baines
2/83 Robust eigenstructure assignment in state feedback control
J. Kautsky and N.K. Nichols
3/83 The general linear problem of tidal power generation with non-linear head-flow relations
N.R.C. Birkett and N.K. Nichols
4/83 OTEP-2 Optimal train energy programme mark 2
Jaroslav Kautsky and Nancy K. Nichols
5/83 On the structure of the moving finite element equations
A.J. Wathen and M.J. Baines
6/83 Superconvergent recovery of the gradient from piecewise linear finite element approximations
Nick Levine
7/83 Finite element methods for non-self-adjoint elliptic and for hyperbolic problems: optimal approximations and recovery techniques
K.W. Morton
8/83 Optimal control problems in tidal power generation
N.R.C. Birkett and N.K. Nichols
9/83 Recent developments in finite element methods for fluid dynamics problems
K.W. Morton
10/83 Two dimensional shock recognition and Roe's scheme
M.J. Baines
11/83 Optimal recovery and defect correction in the finite element method
J.W. Barrett, G. Moore and K.W. Morton
1982
1/82 Finite element method for inviscid compressible fluid using Clebsh variables
Edward Detyna
2/82 Noise problems with ephemeral streams in aquifer models
B.J. Connorton and W.L. Wood
3/82 Generalised Galerkin methods for steady and unsteady problems
K.W. Morton
4/82 Moving finite elements and applications to some problems in oil reservoir modelling
A. Wathen
5/82 Shock capturing, fitting and recovery
K.W. Morton
6/82 A modification of Roe's scheme for entropy satisfying solutions of scalar non-linear conservation laws
P.K. Sweby
8/82 Finite element method with Clebsch representation
Edward Detyna
9/82 Towards a large timestep algorithm for systems of conservation laws: preliminary results ignoring interactions
R.J. Leveque
10/82 Stress sampling points for linear triangles in the finite element method
N. Levine
11/82 Error analysis and numerical experiments for Petrov-Galerkin methods
B.W. Scotney
12/82 A further look at Newmark Houbolt etc. time stepping formulae
W.L. Wood
1981
1/81 A high order monotonicity preserving algorithm on an irregular grid for non-linear conservation laws
P.K. Sweby
2/81 The boundary integral method for steady compressible flow in two dimensions
M.G. Hill
3/81 Finite element methods for non-self-adjoint problems
K.W. Morton
4/81 Numerical algorithms for the solution of conservation laws in two and three dimensions
M.J. Baines
5/81 Quasi-variational inequalities related to flow through an anisotropic porous medium
A.W. Craig
6/81 Convergence of Roe's scheme for the non-linear scalar wave equation
P.K. Sweby and M.J. Baines
7/81 Modelling 2-layer rotating flows
J.W. King
8/81 Convergence of Roe's scheme for the general non-linear scalar wave equation
P.K. Sweby and M.J. Baines
9/81 Smoothed histogram modification for image processing
Jaroslav Kautsky, Nancy K. Nichols and David L.B. Jupp
1980
1/80 Smooth regrading of discretized data
Jaroslav Kautsky and Nancy K. Nichols
2/80 A numerical algorithm for the solution of systems of conservation laws in two dimensions
M.J. Baines
3/80 Cost-efficiency study of various methods for solving the seepage through dam problem using variational inequalities
A.W. Craig and W.L. Wood
4/80 Optimal Petrov-Galerkin methods through approximate symmetrisation
J.W. Barrett and K.W. Morton
6/80 Rapid elliptic solvers (the final instalment?)
Edward Detyna
7/80 Numerical solution of an elastic boundary-layer problem using a multiple shooting technique
Roland England
8/80 Optimal resource depletion: free end time problems
D.N. Burghes, S. Lyle and N.K. Nichols