G
G. R. W. Quispel
Researcher at La Trobe University
Publications - 169
Citations - 6975
G. R. W. Quispel is an academic researcher from La Trobe University. The author has contributed to research in topics: Integrable system & Differential equation. The author has an hindex of 38, co-authored 167 publications receiving 6422 citations. Previous affiliations of G. R. W. Quispel include Clarkson University & Australian National University.
Papers
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Geometric properties of Kahan's method
TL;DR: In this paper, it was shown that Kahan's discretization of quadratic vector fields is equivalent to a Runge-Kutta method, which produces large classes of integrable rational mappings in two and three dimensions.
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Energy-Preserving Integrators and the Structure of B-series
TL;DR: This work describes the linear subspaces of energy-preserving and Hamiltonian modified vector fields which admit a B-series, their finite-dimensional truncations, and their annihilators.
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Linearization of the Boussinesq equation and the modified Boussinesq equation
TL;DR: In this paper, a description in terms of one and the same inhomogeneous linear integral equation is proposed for the solutions of the Boussinesq equation and the modified version of it.
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On some linear integral equations generating solutions of nonlinear partial differential equations
TL;DR: Two types of linear inhomogeneous integral equations, which yield solutions of a broad class of nonlinear evolution equations, are investigated in this paper, where the relations between the matrix elements are shown to lead to Miura transformations between the various partial differential equations.
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Lagrangian multiform structure for the lattice KP system
TL;DR: In this paper, a Lagrangian for the bilinear discrete KP (or Hirota?Miwa) equation is presented, which can be extended to a 3-form when embedded in a higher dimensional lattice, obeying a closure relation.