The Planar Inverse Problem of Dynamics
Abstract We consider the following version of the inverse problem of Dynamics: given a monoparametric family of planar curves, find…
book chapter
On Wachnicki’s Generalization of the Gauss–Weierstrass Integral
Abstract The paper aims at a generalization of the Gauss–Weierstrass integral introduced by Eugeniusz Wachnicki two decades ago. It is…
Solution localization for nonlinear problems: A variational approach
Abstract AuthorsRadu Precup Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania Keywords? Paper coordinatesR. Precup, Solution localization for nonlinear problems: A…
Global Random Walk Solutions for Flow and Transport in Porous Media
AbstractThis article presents a new approach to solve the equations of flow in heterogeneous porous media by using random walks…
Ergodic simulations of diffusion in random velocity fields
AbstractErgodic simulations aim at estimating ensemble average characteristics of diffusion in random fields from space averages. The traditional approach, based…
Global random walk algorithm for diffusion processes
AbstractThe Global Random Walk algorithm (GRW) performs the simultaneous tracking on a fixed grid of large collections of particles, while…
Ergodic Estimations of Upscaled Coefficients for Diffusion in Random Velocity Fields
AbstractUpscaled coefficients for diffusion in ergodic velocity fields are derived by summing up correlations of increments of the position process,…