A method for computing curved meshes via the linear elasticity analogy, application to fluid dynamics problems

We propose and analyze an algorithm for the robust construction of curved meshes in two and three dimensions. The meshes are made of curved simplexes. The algorithm starts from a mesh made of straight simplexes, and using a linear elasticity…

Multilevel Monte Carlo for the Feynman–Kac formula for the Laplace equation

Since its formulation in the late 1940s, the Feynman–Kac formula has proven to be an effective tool for both theoretical reformulations and practical simulations of differential equations. The link it establishes between such equations and stochastic processes can be exploited…

Random Walk TripleRush: Asynchronous Graph Querying and Sampling

Most Semantic Web applications rely on querying graphs, typically by using SPARQL with a triple store. Increasingly, applications also analyze properties of the graph structure to compute statistical inferences. The current Semantic Web infrastructure, however, does not efficiently support such…

Differences in tumor cell metabolism affect growth, invasion and response, say researchers

Cells within a tumor are not the same; they may have different genetic mutations and different characteristics during growth and throughout treatment. These differences make treating tumors extremely difficult and often lead to tumor recurrence dominated by more aggressive tumor…

RMIT University researchers have mimicked the way the human brain processes information with the development of an electronic long-term memory cell

Researchers at the MicroNano Research Facility (MNRF) have built the one of the world’s first electronic multi-state memory cell which mirrors the brain’s ability to simultaneously process and store multiple strands of information. The development brings them closer to imitating…