The Mathematical Sciences Colloquium invites speakers from all areas of mathematics and are open to all members of the RPI community.
Direct interpolative construction of quantized tensor trains
Quantized tensor trains (QTTs) have recently emerged as a framework for the numerical discretization of continuous functions, with the potential for widespread applications in numerical analysis, including rank-structured solvers and preconditioners based on "quantum-inspired" algorithms such as DMRG. However, the theory of QTT approximation is not fully understood.
Static currents in type-I superconductors
In this talk, we describe the classical magneto-static approach to the theory of type-I superconductors. (See the complete abstract on the event flyer)
Simulation of molecules and materials from the first-principles of quantum mechanics
In a seminal article in 1929, P.A.M. Dirac wrote: "The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known, and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble. It therefore becomes desirable that approximate practical methods of applying quantum mechanics should be developed, which can lead to an explanation of the main features of complex atomic systems without too much computation."