3 papers
math.NA2025
Numerical Exploration of Nonlinear Dispersion Effects via a Strongly Coupled Two-scale System
Surendra Nepal, Vishnu Raveendran, Michael Eden +2
The effective, fast transport of matter through porous media is often characterized by complex dispersion effects. To describe in mathematical terms such situations, instead of a s…
math.AP2025
Strongly Coupled Two-scale System with Nonlinear Dispersion: Weak Solvability and Numerical Simulation
Vishnu Raveendran, Surendra Nepal, Rainey Lyons +2
We investigate a two-scale system featuring an upscaled parabolic dispersion-reaction equation intimately linked to a family of elliptic cell problems. The system is strongly coupl…
math.NA2024
Global random walk for one-dimensional one-phase Stefan-type moving-boundary problems: Simulation results
Nicolae Suciu, Surendra Nepal, Yosief Wondmagegne +2
This work presents global random walk approximations of solutions to one-dimensional Stefan-type moving-boundary problems. We are particularly interested in the case when the movin…