Dr David Griffiths

Recent Publications:

• Adaptive time-stepping for incompressible flow. Part II: Navier-Stokes Equations by David A. Kay, Philip M. Gresho, David F. Griffiths and David J. Silvester. SIAM Journal on Scientific Comput. 32, 111-128 (2010)
• Adaptive time-stepping for incompressible flow. Part I: scalar advection-diffusion by Philip Gresho, David Griffiths and David Silvester.
  SIAM J. Sci. Comput. 30, 2018-2054 (2008). (University of Manchester MIMS Eprint Report 2006.4009, November 2006.)
• An Introduction to Matlab 6.1, August 2001 (PDF format: 1500K, 35pp)
  by David F Griffiths with additional material by Ulf Carlsson, Department of Vehicle Engineeering, KTH, Stockholm.Material updated for Matlab version 6.1.Matlab and data files to accompany the notes.
• Equidistributing Grids D. F. Griffiths and D. J. Higham and A. B. Ross, University of Dundee Report NA/198, 2001.
• MacCormack's Method for Advection-Reaction Equations by D.F. Griffiths and D. J. Higham, University of Strathclyde Mathematics Research Report 25, December 1999. Computational Fluid Dynamics Journal , Volume 30 No. 1, 494-505, 2001.
• Runge-Kutta and MacCormack Dynamics, D. F. Griffiths and D. J. Higham, Strathclyde University Research Report 18 (1999), October, 1999. Proceedings of the 8th International Symposium on Computational Fluid Dynamics, Bremen, Sep. 1999.
• Theta Method Dynamics , by G. J. Barclay, D.F. Griffiths and D. J. Higham , LMS J. Comput. Math., vol 3, 27-, 2000. (Previously: University of Strathclyde Mathematics, Research Report 9 (1999), March 1999.)
• A Positive Splitting Method for Mixed Hyperbolic-Parabolic Systems (A. Gerisch, D. F. Griffiths, R. Weiner and M. A. J. Chaplain), Num. Meths. PDEs., 17, 152-168 (2001).
• Runge-Kutta solutions of a hyperbolic conservation law with source term (M. A. Aves, D.F. Griffiths and D.J. Higham). Revised version: SIAM J. Sci. Computing 22: 20-38 (2000).
• Discretised Eigenvalue Problems, LBB Constants and Stabilization,D.F. Griffiths, Numerical Analysis Proceedings 1995, Dundee. Pitman Research Notes in Mathematics Vol. 334, 57--75. Editors: D.F. Griffiths & G. A. Watson. Longman Scientific & Technical
• The "No Boundary Condition'' Outflow Boundary Condition Revised version (D.F. Griffiths) Int. J. Numer. Meths. Fluids, vol 24, 393-411, 1997.
• Does Error Control Suppress Spuriosity? (M. A. Aves, D.F. Griffiths and D.J. Higham). Revised version in SIAM J. Num Anal , Vol 34, 1997, pages 756--778.
• High Order Finite Element Approximation of Hyperbolic Equations by David Griffiths and George Mathai. University of Dundee, March 1995.
• Quadratic finite elements for advection An account of numerical experiments illustrating their performance.
• Unstable modes of the Q1:P0 element (D. Griffiths and D. Silvester) MCCM Technical Report 257, 1994, University of Manchester.