Note: The papers listed here are not all linked to retrievable files (for historical/copyright reasons).

If you want an offprint, please e-mail the author directly

- Blowey, J.F. and Garvie, M.R.
**A reaction-diffusion system of $\lambda-\omega$ type Part I: Mathematical analysis**European Journal of Applied Mathematics, 15, 1-19. - Blowey, J.F., Craig, A.W.
**Frontiers in Numerical Analysis (Durham 2004)**Series: Universitext - Hill, A.A.
**Double-diffusive convection in a porous medium with a concentration based internal heat source**Proc. Roy. Soc. London A, 461, 561 - 574

- Blowey, J.F. and Barrett, J.W.
**Finite element approximation of a nonlinear cross-diffusion population model**Numerische Mathematik, 98, 195---221 - B. Straughan
**The energy method, stability, and nonlinear convection**Vol. 91, Second Edition. Appl. Math. Sci. Ser., Springer-Verlag - Hill, A.A.
**Convection induced by the selective absorption of radiation for the Brinkman model**Continuum Mechanics and Thermodynamics, 16, 43-52 - Hill, A.A.
**Conditional and unconditional nonlinear stability for convection induced by absorption of radiation in a porous medium**Continuum Mechanics and Thermodynamics, 16, 305-318 - Hill, A.A.
**Penetrative convection induced by the absorption of radiation with a nonlinear internal heat source**Dynamics of Atmospheres and Oceans, 38, 57-67 - J.I. Diaz and B. Straughan
**Global stability for convection when the viscosity has a maximum**Continuum Mech. Thermodyn., 16, 347--352. - M. Carr
**Penetrative convection in a superposed porous-medium-fluid layer via internal heating**J. Fluid Mech. 509, 305-329 - Mihai, L.A. & Craig, A.W.
**A Two-Grid Alternate Strip-Based Domain Decomposition Strategy in Two-Dimensions,**Proceedings of Domain Decomposition 15. - P. Budu
**Unconditional nonlinear stability in a fluid of 3rd grade.**Math. Meth. Appl. Sci. 27, 457-475. - R. Quintanilla and B. Straughan
**Discontinuity waves in type III thermoelasticity**Proc. Roy. Soc. London A, 460, 1169--1175

- Blowey, J.F., Craig, A.W., Shardlow, T.,
**Frontiers in Numerical Analysis**Series: Universitext - B. Straughan
**Hydrodynamic stability, the Chebyshev tau method and spurious eigenvalues**Continuum Mech. Thermodyn. 15, 571-579 - Coleman, J.P.
**Order conditions for a class of two-step methods for y''=f(x,y).**IMA Journal of Numerical Analysis, Volume 23, 197--220. - D. Bourne (final year undergraduate project supervised by B.S. Straughan)
**Hydrodynamic stability, the Chebyshev tau method and spurious eigenvalues**Continuum Mech. Thermodyn. 15, 571-579 - F. Franchi and B. Straughan
**Continuous dependence and decay for the Forchheimer equations**Proc. Roy. Soc. London A, 459, 3195--3202 - Hill, A.A.
**Convection due to the selective absorption of radiation in a porous medium**Continuum Mechanics and Thermodynamics, 15, 275 - 285 - M. Carr
**A model for convection in the evolution of under-ice melt ponds.**Continuum Mech. Thermodyn. 15, 45-54. - M. Carr
**Unconditional nonlinear stability for temperature dependent density flow in a porous medium.**Math. Models Meth. Appl. Sci. 13, 207-22. - M. Carr and B. Straughan
**Penetrative convection in a fluid overlying a porous layer**Advances in Water Resources, 26, 263--276 - M. Carr and S. de Putter
**Penetrative convection in a horizontally isotropic layer.**Continuum Mech. Thermodyn. 15, 33-43.

- Blowey, J.F. and Barrett, J.W.
**Finite element approximatin of an Allen-Cahn/Cahn-Hilliard system.**IMA Journal of Numerical Analysis, Volume 22, Number 1, pp. 11-71 - B. Straughan
**Global stability for convection induced by absorption of radiation**Dynamics of Atmospheres and Oceans, 35, 351--361 - B. Straughan
**Effect of property variation and modelling on convection in a fluid overlying a porous layer.**Int. J. Num. Anal. Meth. Geomech. 26, 75-97. - Coleman, J.P.
**Order conditions for two-step methods,**Submitted to IMA J. Numer. Anal. - Craig, A.W. and Perella, A.J.
**A Class of Petrov-Galerkin Methods for the Numerical Solution of the Stationary Convection-Diffusion Equation**Submitted to IMAJNA - Craig, A.W. and Perella, A.J.
**Numerical Implementation of Locally Adjoint Methods for the Convection-Diffusion Equation**Submitted - Craig, A.W. and Smith, J.
**Domain decomposition preconditioning for the finite element mass matrix**Submitted to Math Comp - Quintanilla, R. and Straughan, B.
**Explosive instabilities in heat transmission**Proc. Roy. Soc. London A,**458**, 2833--2837. - Straughan, B.
**Sharp global nonlinear stability for temperature dependent viscosity convection.**Proc. Roy. Soc. London A,**458**1773--1782.

- Blowey, J.F. and Barrett, J.W.
**An Improved Error Bound for a Finite Element Approximation of a Model for Phase Separation of a Multi-Component Alloy with a Concentration Dependent Mobility Matrix**Numerische Mathematik 88: 255-297 - Blowey, J.F. and Barrett, J.W.
**Finite element approximation of a model for order-disorder and phase separationin binary alloys**in Numerical Modelling in Continuum Mechanics, Feistauer, M. et al. eds. (Matfyzpress) 1--17 - Blowey, J.F., Coleman, J.P. and Craig, A.W.
**Theory and Numerics of Differential Equations,**Springer (ISBN: 3-540-41846-6) - B. Straughan
**Surface tension driven convection in a fluid overlying a porous layer.**J. Computational Phys. 170 320-337 - B. Straughan
**Porous Convection, the Chebyshev Tau Method, and Spurious Eigenvalues.**In*Continuum Mechanics and Applications in Geophysics and the Environment*, eds. B. Straughan, R. Greve, H. Ehrentraut and Y. Wang, Springer, pp. 140-152 - Buckwar, E and Shardlow, T
**Weak approximation of stochastic delay equations**IMA JNA (Submitted) - Franchi, F. and Straughan, B.
**A comparison of the Graffi and Kazhikov-Smagulov models for top heavy pollution instability**Advances in Water Resources 24, 585-594 - John W. Barrett, James F. Blowey
**Finite Element Approximation of a Degenerate Allen--Cahn/Cahn--Hilliard System**SIAM Journal on Numerical Analysis, Volume 39, Number 5 pp. 1598-1624 - L.E. Payne, J.F. Rodrigues and B. Straughan
**Effect of anisotropic permeability on Darcy's Law**Math. Meth. Appl. Sci. 24, pp. 427-438 - Paula Budu
**Stability results for thawing subsea permafrost**Continuum Mech Thermodyn 13, 4, 269-285 - Shardlow, T
**Numerical Methods for Dissipative Particle Dynamics,**SISC (Submitted) - Straughan, B.
**A sharp nonlinear stability threshold in rotating porous convection**Proc. Roy. Soc. London A, 457 87--93

- Coleman, J.P. and Duxbury, S.C.
**Mixed collocation methods for**J. Comput. Appl. Math. 126, 47--75*y''=f(x, y)*, - Payne, L.E. and Straughan, B.
**A naturally efficient numerical technique for porous convection stability with non-trivial boundary conditions**Int. J. Numer. Analytical Methods Geomech., 24, 815-836 - Payne, L.E. and Straughan, B.,
**Unconditional nonlinear stability in temperature - dependent viscosity flow in a porous medium**Stud. Appl. Math., 105 , 59-81 - Quintanilla R. and Straughan, B.
**Growth and uniqueness in thermoelasticity**Proc. Roy. Soc. London A, 456 , 1419--1429 - Shardlow,T
**Stochastic perturbations of the Allen-Cahn equation, 2000**Electron. J. Diff. Eqns., vol. 2000, No. 47, pp. 1-19 - Shardlow, T. and Stuart, A.M.
**A Perturbation Theory for Ergodic Properties of Markov Chains**SIAM J. Num. Anal. vol. 37, no. 4, pp 1120-1137

- Blowey, J.F. and Barrett, J.W.
**An improved error bound for a finite element approximation of a model for phase separation of a multi-component alloy,**IMA Journal of Numerical Analysis 19, pages 147-168. - Blowey, J.F. and Barrett, J.W.
**Finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy and a concentration dependent mobility matrix,**Mathematical Models and Methods in Applied Sciences 9, pages 627-663. - Blowey, J.F. and Barrett, J.W.
**Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility,**Mathematics of Computation 68, pages 487-517. (NA96-02 Durham preprint) - Blowey, J.F., Barrett, J.W. and Garcke, H.
**Finite element approximation of the Cahn-Hilliard equation with degenerate mobility,**SIAM Journal of Numerical Analysis 37, pages 286-318. (NA97-07 Durham preprint) - Payne, L.E. and Straughan, B.
**Convergence for the equations for a Maxwell fluid**Stud. Appl. Math., 103 , 267--278 - Payne, L.E. and Straughan, B.
**Convergence, continuous dependence and decay for the Brinkman--Forchheimer equations**Stud. Appl. Math., 102 , 419--439. - Payne, L.E. and Straughan, B.
**Effect of errors in the spatial geometry for temperature dependent Stokes flow**J. Math. Pures et Appl., 78 , 609--632. - Payne, L.E., Song J.C. and Straughan, B.
**Continuous dependence and convergence results for Brinkman and Forchheimer models with variable viscosity**Proc. Roy. Soc. London A, 455 , 2173--2190. - Shardlow, T.
**Numerical methods for stochastic parabolic PDEs**Numer. Func. Anal. Optim., vol. 20, no. 1-2, pp 121-145 - Shardlow, Tony
**Geometric Ergodicity of stochastic PDEs**Stoch. Anal. App. vol. 17, no 5.

- Blowey, J.F. and Barrett, J.W.
**Finite element approximation of a model for phase separation of a multi-component alloy with a concentration dependent mobility matrix,**IMA Journal of Numerical Analysis, 18, 287-328; - Blowey, J.F., Barrett, J.W. and Garcke, H.
**Finite element approximation of a fourth order nonlinear degenerate parabolic equation,**Numerische Mathematik 80, 525-556. (NA97-07 Durham preprint) - Coleman, J.P.
**Mixed interpolation methods with arbitrary nodes,**J. Compt. Appl. Math. 92, 69-83. - Payne, L.E. and Straughan, B.
**Analysis of the boundary condition at the interface between a viscous fluid and a porous medium and related modeling questions**J. Math. Pures et Appl., 77 , 317--354 - Payne, L.E. and Straughan, B.
**Structural stability for the Darcy equations of flow in porous media**Proc. Roy. Soc. London A, 454 , 1691--1698.

- A.W. Craig
**Upwinded restriction operators for nonoverlapping domain decomposition algorithms**Domain Decomposition 10, Wiley, 102-111. - Blowey, J.F. and Barrett, J.W.
**Finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy**Numerische Mathematik 77, 1-34. (NA95-03 Durham preprint) - K. Hutter and Straughan, B.
**Penetrative convection in thawing subsea permafrost**Continuum Mech. Thermodyn. 9 , 259--272 - Shardlow, T.
**Inertial Manifolds and Linear Multistep Methods**Numerical Algorithms, vol. 14, pp 189-209 - Straughan, B. and D.W. Walker
**Multi component diffusion and penetrative convection**Fluid Dyn. Res. 19 , 77--89

- A.W. Craig
**Exact Difference Formulae for Linear Differential Operators**Numerical Analysis, ed. Griffiths and Watson, World Scientific, 155-163. - Blowey, J.F. and Barrett, J.W.
**An Error Bound for the Finite Element Approximation of a Model for Phase Separation of a Multi-Component Alloy**IMA Journal of Numerical Analysis 16, 257-287. - Blowey, J.F., Copetti, M.I.M. and Elliott, C.M.
**The Numerical Analysis of a Model for Phase Separation of a Multi-Component Alloy**IMA Journal of Numerical Analysis 16, 111-139 - Coleman, J.P. and Ixaru, L. Gr.
**P-stability and exponential-fitting methods for**IMA Journal of Numerical Analysis, 16, 179-199.*y''=f(x, y)* - Dongarra, J.J., Straughan, B. and Walker, D.W.
**Chebyshev tau - QZ algorithm methods for calculating spectra of hydrodynamic stability problems**Appl. Numer. Math. 22, 399--435 - F. Franchi and Straughan, B
**Structural stability for the Brinkman equations of porous media**Math. Meth. Appl. Sci. 19, 1335--1347 - Mulone, G., Rionero S. and Straughan, B.
**Unconditional nonlinear stability in a polarized dielectric liquid**Atti Accad. Naz. Lincei, (Ser. IX) 7, 241--252. - Payne, L.E. and Straughan, B.
**Stability in the initial-time geometry problem for the Brinkman and Darcy equations of flow in porous media**J. Math. Pures et Appl., 75, 225--271 - Shardlow, T.
**Periodic orbits and unstable manifolds**Numerical Functional Analysis, vol. 17, no. 9-10, pp 963-989 - Straughan, B. and Walker, D.W.
**Two very accurate and efficient methods for computing eigenvalues and eigenfunctions in porous convection problems**J. Computational Phys. 127, 128--141 - Straughan, B. and Walker, D.W.
**Anisotropic porous penetrative convection**Proc. Roy. Soc. London A, 452, 97--115

- Blowey, J.F. and Barrett, J.W.
**An error bound for the finite element approximation of the Cahn-Hilliard equation with logarithmic free energy**Numerische Mathematik (72) 1-20 - Coleman, J.P. and Myers, N.J.
**The Faber polynomials for annular sectors**Math. Comp., (64) 181-203 and S1-S6;

- Blowey, J.F. and Elliott, C.M.
**A phase field model with double obstacle potential**in Motion by mean curvature and related topics, eds. Buttazzo G., and Visintin, A.,de Gruyter, New York, Chapter 1, 1-22.

- Blowey, J.F. and Elliott, C.M.
**The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy Part II: Numerical analysis**EJAM 3, 147--179 - Coleman, J.P.
**Numerical methods for**In: Proceedings of the First International Colloquium on Numerical Analysis, Plovdiv,Bulgaria, August 1992. (Eds: Bainov, D; Covachev, V) VSP, Utrecht, 27-38*y''=f(x, y)*

- Blowey, J.F. and Elliott, C.M.
**Curvature dependent phase boundary motion and parabolic double obstacle problems**In: The IMA volumes in mathematics and it applications, vol. 47, Ch. 2, pp. 19-60 (eds. Wei-Ming Ni, L.A. Peletier & J.L. Vazquez), Springer-Verlag - Coleman, J.P.
**Rational approximations for the cosine function; P-acceptability and order**Numerical Algorithms 3, 143-158 - Coleman, J.P. and Booth, A.S.
**Analysis of a family of Chebyshev methods for**J. Comput. Appl. Math. 44, 95-114*y''=f(x, y)*