Mike Giles - reports

  1. M.B. Giles and W.T. Thompkins. Asymptotic analysis of numerical wave propagation in finite difference equations. Gas Turbine Laboratory Report GTL 171, MIT Dept. of Aero. and Astro., 1983.
  2. M.B. Giles. Eigenmode analysis of unsteady one-dimensional Euler equations. ICASE Report No. 83-47, NASA Langley Research Center, 1983.
  3. M.B. Giles. Solution of one-dimensional Euler equations using a box method. CFDL Report 84-1, MIT Dept. of Aero and Astro., Feb 1984.
  4. M.B. Giles. Newton solution of steady two-dimensional transonic flow. Gas Turbine Laboratory Report GTL 186, MIT Dept. of Aero. and Astro., 1985.
  5. M.B. Giles. Energy stability analysis of multi-step methods on unstructured meshes. CFDL Report 87-1, MIT Dept. of Aero. and Astro., 1987. (PDF)
  6. M.B. Giles. Non-reflecting boundary conditions for the Euler equations. CFDL Report 88-1, MIT Dept. of Aero. and Astro., 1988. (PDF)
  7. M.B. Giles. Numerical methods for unsteady turbomachinery flow. Lecture notes for VKI Lecture Series 1989-06 on Numerical Methods in Turbomachinery, 1989.
  8. M.B. Giles. Non-reflecting boundary conditions for unsteady airfoil calculations. CFDL Report 90-1, MIT Dept. of Aero. and Astro., 1990.
  9. M.B. Giles. UNSFLO: A numerical method for unsteady flow in turbomachinery. Gas Turbine Laboratory Report GTL 205, MIT Dept. of Aero. and Astro., 1991. (PDF)
  10. M.B. Giles. Analysis of the accuracy of shock-capturing in the steady quasi-1D Euler equations. Report NA-95/03, Oxford University Computing Laboratory, 1995.
  11. M.B. Giles. Stability analysis of Galerkin/Runge-Kutta Navier-Stokes discretisations on unstructured grids. Report NA-95/04, Oxford University Computing Laboratory, 1995.
  12. D.A. Burgess and M.B. Giles. Renumbering unstructured grids to improve the performance of codes on hierarchical memory machines. Report NA-95/06, Oxford University Computing Laboratory, 1995.
  13. N.A. Pierce and M.B. Giles. Preconditioning on stretched meshes. Report NA-95/10, Oxford University Computing Laboratory, 1995.
  14. M.B. Giles. Stability analysis of numerical interface boundary conditions for parabolic equations. Report NA-95/12, Oxford University Computing Laboratory, 1995.
  15. M.B. Giles. Stability and accuracy of numerical boundary conditions in aeroelastic analysis. Report NA-95/13, Oxford University Computing Laboratory, 1995.
  16. P.I. Crumpton and M.B. Giles. Implicit time accurate solutions on unstructured dynamic grids. Report NA-95/17, Oxford University Computing Laboratory, 1995.
  17. P.I. Crumpton and M.B. Giles. Aircraft computations using multigrid and an unstructured parallel library. Report NA-95/18, Oxford University Computing Laboratory, 1995.
  18. D.A. Burgess, P.I. Crumpton, and M.B. Giles. A parallel framework for unstructured grid solvers. Report NA-95/20, Oxford University Computing Laboratory, 1995.
  19. M.B. Giles. Stability and convergence of discretisations of initial value p.d.e.'s. Report NA-96/06, Oxford University Computing Laboratory, 1996.
  20. M.B. Giles, M.G. Larson, J.M. Levenstam and E. Suli. Adaptive error control for finite element approximations of the lift and drag coefficients in viscous flow. Report NA-97/06, Oxford University Computing Laboratory, 1997.
  21. M.B. Giles. Aerospace design: a complex task. Report NA-97/07, VKI Lecture Series Course on Inverse Design, 1997. Viewgraphs are also available (PDF)
  22. M.B. Giles. Aerodynamic design optimisation for complex geometries using unstructured grids. Report NA-97/08, VKI Lecture Series Course on Inverse Design, 1997. Viewgraphs are also available (PDF)
  23. M.B. Giles. On adjoint equations for error analysis and optimal grid adaptation in CFD. Computing the Future II: Advances and Prospects in Computational Aerodynamics, 1997. Report NA-97/11, Oxford University Computing Laboratory, 1997.
  24. M.B. Giles. Wavelet compression for unsteady CFD data. Oxford University Computing Laboratory, 1997. (PDF).
  25. M.B. Giles. The adjoint approach to design, data assimilation and error analysis. ICFD Workshop on Adjoint Methods, Oxford University Computing Laboratory, 1998. (PDF).
  26. M.B. Giles and N.A. Pierce. Adjoint recovery of superconvergent functionals from approximate solutions of partial differential equations. Report NA-98/18, Oxford University Computing Laboratory, 1998.
  27. M.B. Giles and N.A. Pierce. Improved lift and drag estimates using adjoint Euler equations. Report NA-00/02, Oxford University Computing Laboratory, 2000.
  28. M.B. Giles and N.A. Pierce. Analytic adjoint solutions for the quasi-1D Euler equations. Report NA-00/03, Oxford University Computing Laboratory, 2000.
  29. M.B. Giles and N.A. Pierce. An introduction to the adjoint approach to design. Report NA-00/04, Oxford University Computing Laboratory, 2000.
  30. D.L.Darmofal, P. Moinier and M.B. Giles. Eigenmode analysis of boundary conditions for the one-dimensional preconditioned Euler equations. Report NA-00/05, Oxford University Computing Laboratory, 2000.
  31. M.B. Giles. On the use of Runge-Kutta time-marching and multigrid for the solution of steady adjoint equations. Report NA-00/10, Oxford University Computing Laboratory, 2000.
  32. M.S. Campobasso and M.B. Giles. Flutter and forced response of mistuned turbomachinery. Report NA-00/20, Oxford University Computing Laboratory, 2000.
  33. P. Moinier and M.B. Giles. Stability analysis of preconditioned approximations of the Euler equations on unstructured meshes Report NA-01/02, Oxford University Computing Laboratory, 2001.
  34. M.B. Giles and N.A. Pierce. Analysis of adjoint error correction for superconvergent functional estimates. Report NA-01/14, Oxford University Computing Laboratory, 2001.
  35. M.B. Giles, M.C. Duta, J-D Muller and N.A. Pierce. Algorithm developments for discrete adjoint methods. Report NA-01/15, Oxford University Computing Laboratory, 2001.
  36. M.B. Giles and N.A. Pierce. Adjoint error correction for integral outputs. Report NA-01/18, Oxford University Computing Laboratory, 2001.
  37. M.B. Giles. Discrete adjoint approximations with shocks. Report NA-02/10, Oxford University Computing Laboratory, 2002.
  38. A.L. Laird and M.B. Giles. Preconditioned iterative solution of the 2D Helmholtz equation. Report NA-02/12, Oxford University Computing Laboratory, 2002.
  39. P. Moinier and M.B. Giles. Eigenmode analysis for turbomachinery applications Report NA-04/11, Oxford University Computing Laboratory, 2004.
  40. M.B. Giles. Sharp error estimates for a discretisation of the 1D convection/diffusion equation with Dirac initial data. Report NA-04/17, Oxford University Computing Laboratory, 2004.
  41. A.L. Laird and M.B. Giles. Preconditioned harmonic unsteady potential flow calculations. Report NA-05/01, Oxford University Computing Laboratory, 2005.
  42. M.B. Giles and P. Glasserman. Smoking adjoint: fast evaluation of Greeks by Monte Carlo. Report NA-05/15, Oxford University Computing Laboratory, 2005.
  43. M.B. Giles and R. Carter. Convergence analysis of Crank-Nicolson and Rannacher time-marching. Report NA-05/16, Oxford University Computing Laboratory, 2005.
  44. R. Carter and M.B. Giles. Sharp error estimates for discretisations of the 1D convection/diffusion equation with Dirac initial data. Report NA-05/17, Oxford University Computing Laboratory, 2005.
  45. M.B. Giles, D. Ghate and M.C. Duta. Using automatic differentiation for adjoint CFD code development. Report NA-05/25, Oxford University Computing Laboratory, 2005.
  46. M.B. Giles. Multi-level Monte Carlo path simulation. Report NA-06/03, Oxford University Computing Laboratory, 2006.
  47. M.B. Giles. Improved multilevel Monte Carlo convergence using the Milstein scheme. Report NA-06/22, Oxford University Computing Laboratory, 2006.
  48. M.B. Giles. Monte Carlo evaluation of sensitivities in computational finance. Report NA-07/12, Oxford University Computing Laboratory, 2007.
  49. M.B. Giles. An extended collection of matrix derivative results for forward and reverse mode algorithmic differentiation. Report NA-08/01, Oxford University Computing Laboratory, 2008.

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