All Stories

  1. Boundary Integrals and Approximations of Harmonic Functions

    Article • Numerical Functional Analysis and Optimization, April 2015, Taylor & Francis

    Professor Giles Auchmuty

  2. Unconstrained Variational Principles for Linear Elliptic Eigenproblems

    Article • ESAIM Control Optimisation and Calculus of Variations, December 2014, EDP Sciences

    Professor Giles Auchmuty

  3. p-Laplacian boundary value problems on exterior regions

    Article • Journal of Mathematical Analysis and Applications, September 2014, Elsevier

    Professor Giles Auchmuty

  4. Well-posedness and approximation of solutions of linear divergence-form elliptic problems on exterior regions

    Article • Mathematical Methods in the Applied Sciences, June 2014, Wiley

    Professor Giles Auchmuty

  5. Sharp boundary trace inequalities

    Article • Proceedings of the Royal Society of Edinburgh Section A Mathematics, January 2014, Cambridge University Press

    Professor Giles Auchmuty

  6. Representations of Solutions of Laplacian Boundary Value Problems on Exterior Regions

    Article • Applied Mathematics & Optimization, September 2013, Springer Science + Business Media

    Professor Giles Auchmuty

  7. Spectral representations of solutions of linear elliptic equations on exterior regions

    Article • Journal of Mathematical Analysis and Applications, February 2013, Elsevier

    Professor Giles Auchmuty

  8. Parametric Dependence of Boundary Trace Inequalities

    Article • January 2013, Springer Science + Business Media

    Professor Giles Auchmuty

  9. Bases and comparison results for linear elliptic eigenproblems

    Article • Journal of Mathematical Analysis and Applications, June 2012, Elsevier

    Professor Giles Auchmuty

  10. Imbeddings and bounds for functions with

    Article • Journal of Mathematical Analysis and Applications, November 2011, Elsevier

    Professor Giles Auchmuty

  11. Spectral Solutions of Self-adjoint Elliptic Problems with Immersed Interfaces

    Article • Applied Mathematics & Optimization, June 2011, Springer Science + Business Media

    Professor Giles Auchmuty

  12. Finite energy solutions of self-adjoint elliptic mixed boundary value problems

    Article • Mathematical Methods in the Applied Sciences, December 2009, Wiley

    Professor Giles Auchmuty

  13. Variational Principles and Residual Bounds for Nonpotential Equations

    Article • January 2009, Springer Science + Business Media

    Professor Giles Auchmuty

  14. Reproducing Kernels for Hilbert Spaces of Real Harmonic Functions

    Article • SIAM Journal on Mathematical Analysis, January 2009, Society for Industrial & Applied Mathematics (SIAM)

    Professor Giles Auchmuty

  15. The Stokes basis for three-dimensional incompressible flow fields

    Article • June 2007, Taylor & Francis

    Professor Giles Auchmuty

  16. Generalized Harmonic Functions and the Dewetting of Thin Films

    Article • Applied Mathematics & Optimization, March 2007, Springer Science + Business Media

    Professor Giles Auchmuty

  17. Variational principles for finite dimensional initial value problems

    Article • January 2007, American Mathematical Society (AMS)

    Professor Giles Auchmuty

  18. Divergence L 2-Coercivity Inequalities

    Article • Numerical Functional Analysis and Optimization, September 2006, Taylor & Francis

    Professor Giles Auchmuty

  19. Rotating wave solutions of the FitzHugh–Nagumo equations

    Article • Journal of Mathematical Biology, August 2006, Springer Science + Business Media

    Professor Giles Auchmuty

  20. Finite-energy solutions of mixed 3d div-curl systems

    Article • Quarterly of Applied Mathematics, April 2006, American Mathematical Society (AMS)

    Professor Giles Auchmuty

  21. Spectral Characterization of the Trace Spaces ${H^s({\partial \Omega})}$

    Article • SIAM Journal on Mathematical Analysis, January 2006, Society for Industrial & Applied Mathematics (SIAM)

    Professor Giles Auchmuty

  22. Dependence of Friedrichs' constant on boundary integrals

    Article • Proceedings of the Royal Society of Edinburgh Section A Mathematics, October 2005, Cambridge University Press

    Professor Giles Auchmuty

  23. Optimal coercivity inequalities in W1,p(Ω)

    Article • Proceedings of the Royal Society of Edinburgh Section A Mathematics, October 2005, Cambridge University Press

    Professor Giles Auchmuty

  24. $L^2$-well-posedness of 3d div-curl boundary value problems

    Article • Quarterly of Applied Mathematics, August 2005, American Mathematical Society (AMS)

    Professor Giles Auchmuty

  25. Steklov Eigenproblems and the Representation of Solutions of Elliptic Boundary Value Problems

    Article • Numerical Functional Analysis and Optimization, January 2005, Taylor & Francis

    Professor Giles Auchmuty

  26. THE MAIN INEQUALITY OF 3D VECTOR ANALYSIS

    Article • Mathematical Models and Methods in Applied Sciences, January 2004, World Scientific Pub Co Pte Lt

    Professor Giles Auchmuty

  27. Mathematical analysis of a 3-variable cell cycle model

    Article • Nonlinear Analysis Real World Applications, March 2003, Elsevier

    Professor Giles Auchmuty

  28. L 2 Well-Posedness of Planar Div-Curl Systems

    Article • Archive for Rational Mechanics and Analysis, November 2001, Springer Science + Business Media

    Professor Giles Auchmuty

  29. Variational Principles for Self-Adjoint Elliptic Eigenproblems

    Article • January 2001, Springer Science + Business Media

    Professor Giles Auchmuty

  30. Algorithms and Merit Functions for the Principal Eigenvalue

    Article • January 2001, Springer Science + Business Media

    Professor Giles Auchmuty

  31. An Inequality for Periodic Functions and a Quadratic Imbedding Result

    Article • Numerical Functional Analysis and Optimization, January 2000, Taylor & Francis

    Professor Giles Auchmuty

  32. Reconstruction of the velocity from the vorticity in three-dimensional fluid flows

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, February 1998, Royal Society Publishing

    Professor Giles Auchmuty

  33. Min-max problems for non-potential operator equations

    Article • January 1997, American Mathematical Society (AMS)

    Professor Giles Auchmuty

  34. Book Review: Handbook of numerical analysis

    Article • Mathematics of Computation, January 1996, American Mathematical Society (AMS)

    Professor Giles Auchmuty

  35. Saddle point methods, and alogorithms, for non-symmetric linear equations∗

    Article • Numerical Functional Analysis and Optimization, January 1995, Taylor & Francis

    Professor Giles Auchmuty

  36. Harnack-Type Inequalities for Evolution Equations

    Article • Proceedings of the American Mathematical Society, September 1994, JSTOR

    Professor Giles Auchmuty

  37. Harnack-type inequalities for evolution equations

    Article • Proceedings of the American Mathematical Society, January 1994, American Mathematical Society (AMS)

    Professor Giles Auchmuty

  38. Orthogonal decompositions and bases for three-dimensional vector fields

    Article • Numerical Functional Analysis and Optimization, January 1994, Taylor & Francis

    Professor Giles Auchmuty

  39. A posteriori error estimates for linear equations

    Article • Numerische Mathematik, December 1992, Springer Science + Business Media

    Professor Giles Auchmuty

  40. Globally and Rapidly Convergent Algorithms for Symmetric Eigenproblems

    Article • SIAM Journal on Matrix Analysis and Applications, October 1991, Society for Industrial & Applied Mathematics (SIAM)

    Professor Giles Auchmuty

  41. The global branching of rotating stars

    Article • Archive for Rational Mechanics and Analysis, January 1991, Springer Science + Business Media

    Professor Giles Auchmuty

  42. Variational Principles for Eigenvalues of Compact Operators

    Article • SIAM Journal on Mathematical Analysis, November 1989, Society for Industrial & Applied Mathematics (SIAM)

    Professor Giles Auchmuty

  43. Unconstrained Variational Principles for Eigenvalues of Real Symmetric Matrices

    Article • SIAM Journal on Mathematical Analysis, September 1989, Society for Industrial & Applied Mathematics (SIAM)

    Professor Giles Auchmuty

  44. Variational principles for variational inequalities

    Article • Numerical Functional Analysis and Optimization, January 1989, Taylor & Francis

    Professor Giles Auchmuty

  45. Duality algorithms for nonconvex variational principles

    Article • Numerical Functional Analysis and Optimization, January 1989, Taylor & Francis

    Professor Giles Auchmuty

  46. Variational Principles for Eigenvalues of Nonsymmetric Matrices

    Article • SIAM Journal on Matrix Analysis and Applications, January 1989, Society for Industrial & Applied Mathematics (SIAM)

    Professor Giles Auchmuty

  47. Variational principles for operator equations and initial value problems

    Article • Nonlinear Analysis, January 1988, Elsevier

    Professor Giles Auchmuty

  48. Bifurcation Analysis of Reaction-Diffusion Equations. VI. Multiply Periodic Travelling Waves

    Article • SIAM Journal on Mathematical Analysis, January 1988, Society for Industrial & Applied Mathematics (SIAM)

    Professor Giles Auchmuty

  49. The Structure and Stability of Propagating Redox Fronts

    Article • SIAM Journal on Applied Mathematics, August 1986, Society for Industrial & Applied Mathematics (SIAM)

    Professor Giles Auchmuty

  50. Redox front propagation and banding modalities

    Article • Physica D Nonlinear Phenomena, April 1986, Elsevier

    Professor Giles Auchmuty

  51. Dual variational principles for eigenvalue problems

    Article • January 1986, American Mathematical Society (AMS)

    Professor Giles Auchmuty

  52. Global bifurcations of phase-locked oscillators

    Article • Archive for Rational Mechanics and Analysis, January 1986, Springer Science + Business Media

    Professor Giles Auchmuty

  53. Variational Principles for Periodic Solutions of Autonomous Ordinary Differential Equations

    Article • January 1986, Springer Science + Business Media

    Professor Giles Auchmuty

  54. Duality for non-convex variational principles

    Article • Journal of Differential Equations, October 1983, Elsevier

    Professor Giles Auchmuty

  55. Option pricing in a lognormal securities market with discrete trading

    Article • Journal of Financial Economics, March 1981, Elsevier

    Professor Giles Auchmuty

  56. Global bifurcation of waves

    Article • manuscripta mathematica, June 1979, Springer Science + Business Media

    Professor Giles Auchmuty

  57. BIFURCATING WAVES*

    Article • Annals of the New York Academy of Sciences, February 1979, Wiley

    Professor Giles Auchmuty

  58. Positivity for elliptic and parabolic systems

    Article • Proceedings of the Royal Society of Edinburgh Section A Mathematics, January 1978, Cambridge University Press

    Professor Giles Auchmuty

  59. Existence of axisymmetric equilibrium figures

    Article • Archive for Rational Mechanics and Analysis, September 1977, Springer Science + Business Media

    Professor Giles Auchmuty

  60. Bifurcation analysis of nonlinear reaction-diffusion equations—I

    Article • July 1977, Springer Science + Business Media

    Professor Giles Auchmuty

  61. Bifurcation analysis of reaction-diffusion equations—III. Chemical oscillations

    Article • July 1976, Springer Science + Business Media

    Professor Giles Auchmuty

  62. Bifurcation analysis of reaction-diffusion equations—III. Chemical oscillations

    Article • Bulletin of Mathematical Biology, January 1976, Springer Science + Business Media

    Professor Giles Auchmuty

  63. Bifurcation analysis of nonlinear reaction-diffusion equations—I. Evolution equations and the steady state solutions

    Article • August 1975, Springer Science + Business Media

    Professor Giles Auchmuty

  64. Bifurcation analysis of nonlinear reaction-diffusion equations—I. Evolution equations and the steady state solutions

    Article • Bulletin of Mathematical Biology, March 1975, Springer Science + Business Media

    Professor Giles Auchmuty

  65. Dissipative Structures, Catastrophes, and Pattern Formation: A Bifurcation Analysis

    Article • Proceedings of the National Academy of Sciences, July 1974, Proceedings of the National Academy of Sciences

    Professor Giles Auchmuty

  66. General discussion

    Article • Faraday Symposia of the Chemical Society, January 1974, Royal Society of Chemistry

    Professor Giles Auchmuty

  67. General discussion

    Article • Faraday Symposia of the Chemical Society, January 1974, Royal Society of Chemistry

    Professor Giles Auchmuty

  68. The numerical solution of the equations for rotating stars

    Article • January 1974, Springer Science + Business Media

    Professor Giles Auchmuty

  69. Lyapunov methods and equations of parabolic type

    Article • January 1973, Springer Science + Business Media

    Professor Giles Auchmuty

  70. Bounding flows for turbulent convection

    Article • Archive for Rational Mechanics and Analysis, January 1973, Springer Science + Business Media

    Professor Giles Auchmuty

  71. Models of Rotating Stars

    Article • The Astrophysical Journal, May 1971, Institute of Physics Publishing

    Professor Giles Auchmuty

  72. Variational solutions of some nonlinear free boundary problems

    Article • Archive for Rational Mechanics and Analysis, January 1971, Springer Science + Business Media

    Professor Giles Auchmuty

  73. Numerical models of rotating stars

    Article • Springer Science + Business Media

    Professor Giles Auchmuty

  74. Control methods for the numerical computation of periodic solutions of autonomous differential equations

    Article • Springer Science + Business Media

    Professor Giles Auchmuty