Runge-Kutta scheme for Euler equations, Fast algorithms for Navier-Stokes equations, Reading and analysis of first Temple ostraca, Deep learning algorithms for PDEs
Eli L. Turkel (hebrew אלי טורקל) (born January 22, 1944) is an Israeli applied mathematician and currently an emeritus professor of applied mathematics at the School of Mathematical Sciences, Tel Aviv University.[1] He is known for his contributions to numerical analysis of Partial Differential equations particularly in the fields of computational fluid dynamics, computational electromagnetics, acoustics, elasticity and image processing with applications to first Temple ostraca and recently deep earning for forward and inverse problems in PDEs,
Another main contribution includes fast algorithms for the Navier-Stokes equations based on preconditioning techniques, radiation boundary conditions and high order accuracy for wave propagation in general shaped domains using difference potentials.
He has published work on reading ostraca from the first Temple period. Algorithmic handwriting analysis of Judah’s military correspondence sheds light on the composition of biblical texts, which appeared in PNAS was quoted by numerous sources including the front page of the NY Times. Later articles deal with ostraca at both Samaria and Arad. Other research includes high order compact numerical methods for hyperbolic equations, including the Helmholtz equation, acoustics and Maxwell's equations, using Cartesian grids but general shaped boundaries and interfaces. Other research uses deep learning to detect sources and obstacles underwater using the acoustic wave equation and data at a few noisy sensors. Recent applications of deep learning include using large time steps and improving the accuracy of finite differences for high frequencies on coarse grids. Other deep learning algorithms include, HINTS for iterative methods, VITO for inverse problems and MATCH for time-dependent PDEs.
He has also authored articles in Tradition and the Journal of Contemporary Halacha.
