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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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Discrete gradient methods for solving variational image regularisation models
TL;DR: It is proved that discrete gradient methods guarantee a monotonic decrease of the energy towards stationary states, and their use in image processing is promoted by exhibiting experiments with convex and non-convex variational models for image deblurring, denoising, and inpainting.
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Volume-preserving integrators have linear error growth
G. R. W. Quispel,C.P Dyt +1 more
TL;DR: In this article, the authors present numerical evidence of linear long-term error growth in the calculation of periodic and quasi-periodic orbits of divergence-free ODEs by volume-preserving integration methods.
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The derivative nonlinear Schrödinger equation and the massive Thirring model
TL;DR: In this article, the linearization and Backlund transformations are obtained for a class of nonlinear partial differential equations, which contains the derivative nonlinear Schrodinger equation and the equations for the massive Thirring model.
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The nonlinear Schrödinger equation and the anisotropic Heisenberg spin chain
G. R. W. Quispel,H.W. Capel +1 more
TL;DR: In this article, a Miura transformation expressing solutions of the nonlinear Schrodinger equation in terms of the equation of motion of the classical anisotropic Heisenberg spin chain in the continuum description was derived.
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On the Nonlinear Stability of Symplectic Integrators
TL;DR: In this article, the modified Hamiltonian was used to study the nonlinear stability of nonlinear integrators, especially for nonlinear oscillators, and conditions under which an initial condition on a compact energy surface will remain bounded for exponentially long times for sufficiently small time steps.