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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.
Papers
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Surface exponents of the quantum XXZ, Ashkin-Teller and Potts models
TL;DR: In this article, the conformal anomaly and surface exponents of the critical quantum Ashkin-Teller and Potts chains are calculated by exploiting their relations with the mass gap amplitudes as predicted by conformal invariance.
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Geometric integration using discrete gradients
TL;DR: The discrete analogue of the gradient of a function is discussed and how discrete gradients can be used in the numerical integration of ordinary differential equations (ODEs) is shown.
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Integrable mappings and soliton equations II
TL;DR: In this article, it was shown that simple solutions of discrete soliton equations satisfy 2D mappings and that these belong to a recently introduced 18-parameter family of integrable reversible mappings of the plane.
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A new class of energy-preserving numerical integration methods
TL;DR: The first energy-preserving B-series numerical integration method for (ordinary) differential equations is presented and applied to several Hamiltonian systems in this article, where the first ever energy preserving B series numerical integration algorithm is presented.
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Integrable mappings and soliton equations
TL;DR: In this paper, an 18-parameter family of integrable reversible mappings of the plane is presented, which are shown to occur in soliton theory and in statistical mechanics.