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- The University of MelbourneAU30 papers
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- Commonwealth Scientific and Industrial Research OrganisationAU22 papers
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- UNSW SydneyAU13 papers
- Australian National UniversityAU12 papers
- Centre National de la Recherche ScientifiqueFR12 papers
- Data61AU12 papers
- Kyushu UniversityJP12 papers
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8 papers · 1 filter
The algebra of adjacency patterns: Rees matrix semigroups with reversion
Marcel Jackson, Mikhail Volkov
We establish a surprisingly close relationship between universal Horn classes of directed graphs and varieties generated by so-called adjacency semigroups which are Rees matrix sem…
A Krylov subspace algorithm for evaluating the phi-functions appearing in exponential integrators
Jitse Niesen, Will M. Wright
We develop an algorithm for computing the solution of a large system of linear ordinary differential equations (ODEs) with polynomial inhomogeneity. This is equivalent to computing…
Lagrangian multiform structure for the lattice KP system
S. B. Lobb, F. W. Nijhoff, G. R. W. Quispel
We present a Lagrangian for the bilinear discrete KP (or Hirota-Miwa) equation. Furthermore, we show that this Lagrangian can be extended to a Lagrangian 3-form when embedded in a…
Fuzzy Linguistic Logic Programming and its Applications
Van Hung Le, Fei Liu, Dinh Khang Tran
The paper introduces fuzzy linguistic logic programming, which is a combination of fuzzy logic programming, introduced by P. Vojtas, and hedge algebras in order to facilitate the r…
Linear quadrilateral lattice equations and multidimensional consistency
James Atkinson
It is shown that every scalar linear quadrilateral lattice equation lies within a family of similar equations, members of which are compatible between one another on a higher dimen…
Soliton Solutions for ABS Lattice Equations: I Cauchy Matrix Approach
Frank Nijhoff, James Atkinson, Jarmo Hietarinta
In recent years there have been new insights into the integrability of quadrilateral lattice equations, i.e. partial difference equations which are the natural discrete analogues o…