Articles tagged with Integral Equations
Mathematicians from RUDN University have proved a unique continuation theorem for a one dimensional solution to a fractional order diffusion problem, which can help calculate water movement in porous rock. The results of their work are needed for more accurate analysis and numerical simulation of solutions.
Researchers at the University of Pennsylvania have demonstrated a device that uses metamaterials to solve integral equations, a common problem in science and engineering. The device operates as an analog computer with light, solving problems orders of magnitude faster than digital computers.
Researchers used molecular dynamics simulations and integral equation theoretical calculations to study the phase separation of active and passive particles. The introduction of activity was found to enhance phase separation in some cases, contrary to previous assumptions.
Gennadi Henkin has received the 2011 Stefan Bergman Prize for his fundamental contributions to theory of functions on complex manifolds, integral representations in several complex variables, and multidimensional Cauchy-Riemann equations. He is recognized as a leading scientific researcher with over 130 publications in various fields.
Daan Huybrechs, a postdoctoral fellow at Belgium's Katholieke Universiteit Leuven, will receive the Richard C. DiPrima Prize for his dissertation on multiscale and hybrid methods for solving oscillatory integral equations. The prize recognizes his outstanding research in applied mathematics and computational science.