HPC iterative solvers for multi-particle physics simulation.

Current and future physical equipment collects more and more data from multiple scattered fields simultaneously, for example in the imaging of molecules, which adds to the complexity of the reconstruction through numerical simulation. This dramatic increase in data requires new scalable mathematical techniques to reconstruct the high-dimensional object of interest. This project aspires to develop efficient ways to solve the high-dimensional Helmholtz and Schrödinger problem for this purpose. A successful and already awarded initial approach, based on the novel idea of reformulating the PDEs involved on a complex-valued manifold, was recently developed by the applicant. The proposed technique makes the potentially high-dimensional problem more tractable and amenable to large-scale iterative solvers. The main aim of this project is the development and rigorous analysis of scalable HPC iterative solution methods for wave scattering problems.

Keywords:COMPUTATIONAL QUANTUM PHYSICS, ITERATIVE METHODS, NUMERICAL ANALYSIS, APPLIED MATHEMATICS

Disciplines:Analysis, Applied mathematics in specific fields, General mathematics, History and foundations, Other mathematical sciences and statistics, Computer architecture and networks, Distributed computing, Information sciences, Information systems, Programming languages, Scientific computing, Theoretical computer science, Visual computing, Other information and computing sciences, Atomic and molecular physics, Classical physics, Elementary particle and high energy physics, Other physical sciences