Regular biography
Alexander Vladimirsky is a Professor in the Department of Mathematics at Cornell University. His research focuses on numerical methods, dynamical systems, nonlinear PDEs, and control theory. He investigates the effects of anisotropy and inhomogeneity on analytic properties of differential equations and the computational efficiency of numerical methods. His work includes the development of Ordered Upwind Methods (OUMs) for PDEs in anisotropic optimal control and front propagation, as well as fast methods for approximating invariant manifolds of vector fields. He has also contributed to projects involving games, stochastic control, numerical homogenization, and dimension reduction in chemical kinetics.
Scholar-generated biography
Alexander Vladimirsky is a Professor of Mathematics at Cornell University, specializing in Numerical Analysis, Partial Differential Equations, Dynamical Systems, and Control Theory. His research focuses on developing efficient numerical methods for solving Hamilton–Jacobi equations, Eikonal equations, and related problems in optimal control and dynamical systems. He has contributed to fast algorithms for static Hamilton–Jacobi equations, adaptive cancer therapy optimization, and invariant manifold computations. His work also includes two-scale methods for eikonal equations and applications in chemical kinetics and traveltime tomography. Vladimirsky's research emphasizes the interplay between analytical and computational techniques to address complex problems in applied mathematics and engineering.