Australian Mathematical Society (AustMS): E-Journals
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Finite groups with large Chermak-Delgado lattices
No full texthttp://dx.doi.org/10.1017/S000497271200033
Subadditivity of an integral transform for positive operators in Hilbert spaces
No full texthttp://dx.doi.org/10.1017/S000497271200033
Recursive characterisations of random matrix ensembles and associated combinatorial objects
No full texthttp://dx.doi.org/10.1017/S000497271200033
Numerical simulations for largely deformed beams and rings adopting a nontensile smoothed particle hydrodynamics algorithm
No full textThree typical elastic problems, including beam bending, truss extension and compression, and two-rings collision are simulated with smoothed particle hydrodynamics (SPH) using Lagrangian and Eulerian algorithms. A contact-force model for elastic collisions and equation of state for pressure arising in colliding elastic bodies are also analytically derived. Numerical validations, on using the corresponding theoretical models, are carried out for the beam bending, truss extension and compression simulations. Numerical instabilities caused by largely deformed particle configurations in finite/large elastic deformations are analysed. The numerical experiments show that the algorithms handle small deformations well, but only the Lagrangian algorithm can handle large elastic deformations. The numerical results obtained from the Lagrangian algorithm also show a good agreement with the theoretical values.
doi: 10.1017/S144618112300016
Reversed Hardy-Littlewood-Polya inequalities with finite terms
No full texthttp://dx.doi.org/10.1017/S000497271200033
On the doubling condition in the infinite-dimensional setting
No full texthttp://dx.doi.org/10.1017/S000497271200033