Thomas J. Bridges

Best Publications

• Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity

  Thomas J. Bridges;Sebastian Reich

  625
  Citations

• Multi-symplectic structures and wave propagation

  Thomas J. Bridges

  556
  Citations

• Differential eigenvalue problems in which the parameter appears nonlinearly

  T. J. Bridges;Philip John Morris

  296
  Citations

• Numerical methods for Hamiltonian PDEs

  Thomas J Bridges;Sebastian Reich

  270
  Citations

• Stability and instability of solitary waves of the fifth-order KdV equation: a numerical framework

  Thomas J. Bridges;Gianne Derks;Georg Gottwald

  162
  Citations

• Multi-symplectic spectral discretizations for the Zakharov–Kuznetsov and shallow water equations

  Thomas J. Bridges;Sebastian Reich

  162
  Citations

• Numerical exterior algebra and the compound matrix method

  Leanne Allen;Thomas J. Bridges

  151
  Citations

• A GEOMETRIC FORMULATION OF THE CONSERVATION OF WAVE ACTION AND ITS IMPLICATIONS FOR SIGNATURE AND THE CLASSIFICATION OF INSTABILITIES

  Thomas J. Bridges

  130
  Citations

• Reappraisal of the Kelvin Helmholtz problem. Part 1. Hamiltonian structure

  T. Brooke Benjamin;Thomas J. Bridges

  124
  Citations

• A proof of the Benjamin-Feir instability

  Thomas J. Bridges;Alexander Mielke

  123
  Citations

• Linear pulse structure and signalling in a film flow on an inclined plane

  Leonid Brevdo;Patrice Laure;Frederic Dias;Thomas J. Bridges

  111
  Citations

• Linear Instability of Solitary Wave Solutions of the Kawahara Equation and Its Generalizations

  Thomas J. Bridges;Gianne Derks

  111
  Citations

• CO2 Waveguide Lasers

  Unknown

  93
  Citations

• The numerical computation of freely propagating time-dependent irrotational water waves

  Frédéric Dias;Thomas J. Bridges

  90
  Citations

• Unstable eigenvalues and the linearization about solitary waves and fronts with symmetry

  Thomas J. Bridges;Gianne Derks

  88
  Citations

• Computing Lyapunov exponents on a Stiefel manifold

  Thomas J. Bridges;Sebastian Reich

  80
  Citations

• Instability of the Hocking-Stewartson pulse and its implications for three-dimensional Poiseuille flow

  Andrei L Afendikov;Thomas J Bridges

  76
  Citations

• Reappraisal of the Kelvin–Helmholtz problem. Part 2. Interaction of the Kelvin–Helmholtz, superharmonic and Benjamin–Feir instabilities

  T. Brooke Benjamin;Thomas J. Bridges

  70
  Citations

• Computing the Maslov index of solitary waves, Part 1: Hamiltonian systems on a four-dimensional phase space

  Frédéric Chardard;Frédéric Dias;Thomas J. Bridges

  67
  Citations

• The symplectic Evans matrix and the instability of solitary waves and fronts

  Thomas J. Bridges;Gianne Derks

  66
  Citations