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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.
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Finite-temperature correlations for the Ising chain in a transverse field
TL;DR: In this article, two sets of nonlinear differential equations are derived and discussed for the time-dependent correlations between x-components of spins (S = 1 2 ) in an Ising chain in the presence of a transverse magnetic field.
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Geometric properties of Kahan's method
TL;DR: In this article, 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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Symbolic Computation of Lax Pairs of Partial Difference Equations using Consistency Around the Cube
TL;DR: A three-step method due to Nijhoff and Bobenko & Suris to derive a Lax pair for scalar partial difference equations (PΔEs) is reviewed and previously unknown Lax pairs are presented for P� ΔEs recently derived by Hietarinta.
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Numerical Integrators that Preserve Symmetries and Reversing Symmetries
TL;DR: In this article, the authors consider properties of flows, the relationships between them, and whether numerical integrators can be made to preserve these properties, in the context of automorphisms and antiautomorphisms generated by maps associated to vector fields.
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What kinds of dynamics are there? Lie pseudogroups, dynamical systems and geometric integration
TL;DR: In this article, the authors classify dynamical systems according to the group of diffeomorphisms to which they belong, with application to geometric integrators for ordinary differential equations, unifying symplectic, Lie group, and volume-, integral- and symmetry-preserving integrators.