Application on local discrete expansion

Multipole expansion of dislocation interactions: Application to discrete dislocations

On local domain symmetry for model expansion

Symmetry in combinatorial problems is an extensively studied topic. We continue this research in the context of model expansion problems, with the aim of automating the workflow of detecting and breaking symmetry. We focus on local domain symmetry, which is induced by permutations of domain elements, and which can be detected on a first-order level. As such, our work is a continuation of the sy...

On Reducing sequences and an Application to Local Cohomology Modules

DISCRETE VALUATIONS CENTERED ON LOCAL DOMAINSReinhold

We study applications of discrete valuations to ideals in analytically irreducible domains, in particular applications to zero divisors modulo powers of ideals. We prove a uniform version of Izumi's theorem and calculate several examples illustrating it, such as for rational singularities. The paper contains a new criterion of analytic irreducibility, a new criterion of one-beredness, and a val...

Comment on “ Application of ( G ′ G ) - expansion

In a recent paper [Abazari R. Application of ( ′ G )-expansion method to travelling wave solutions of three nonlinear evolution equation. Computers & Fluids 2010;39:1957–1963], the (G/G)-expansion method was used to find travelling-wave solutions to three nonlinear evolution equations that arise in the mathematical modelling of fluids. The author claimed that the method delivers more general fo...