Edwin Jimenez

Edwin Jimenez is a Research Scientist in the Department of Computing and Mathematical Sciences at the California Institute of Technology, where he works on developing high-order numerical methods for PDE and boundary integral equations (BIE) with applications to acoustics, electromagnetics, optics, and fluid dynamics.

Dr. Jimenez completed his Ph.D. in Applied and Computational Mathematics at Florida State University under the direction of Prof. M.Y. Hussaini and Prof. Mark Sussman. His Ph.D. work focused on stochastic collocation and efficient sampling methods for uncertainty quantification of nonlinear problems in computational aeroacoustics and wildland fire propagation.

He then joined Caltech's CMS department in 2010 as a Postdoctoral Scholar and later, in 2012, as a Research Scientist, where he works with CMS Prof. Oscar P. Bruno on efficient, high-order accurate, computational algorithms for PDE and BIE. Recent progress on numerical algorithms for PDE (FFT-based Fourier Continuation spatial approximations, high-order alternating direction implicit time-marching, hybrid explicit/implicit solvers for nonlinear time-dependent PDE) and for BIE (high-order accurate approximations of singular integrals, accelerated evaluation of "non-adjacent interactions", hybrid shared- and distributed-memory parallel algorithms) has enabled the solution of problems of scientific and engineering importance, while requiring only modest computational resources; applications include simulations of multi-functional optical systems, computations of viscous, compressible, fluid flows over general domains, acoustic scattering from complex engineered structures, and electromagnetic transmission through biological models.

• Ph.D., Applied and Computational Mathematics, Florida State University, 2009
• M.S., Applied and Computational Mathematics, Florida State University, 2002

• Staff Scientist, California Institute of Technology (2012-)
• Senior Scientist, Mathematical Systems & Solutions, Inc. (2012-2018)
• Postdoctoral Scholar, California Institute of Technology (2010-2012)