Profitability of Batteries Performing Arbitrage in Wholesale Markets with Cyclic Degradation
Linear approximation of cyclic degradation of batteries and their use in estimating arbitrage profits.
Posts by Collection
portfolio
Thermo-Hydro-Mechanical Analysis of Permafrost.
Mathematical analysis of the coupling governing subsidence of thawing permafrost by using Biot’s poroelasticity equations and the Stefan problem.
Surface-Subsurface Flow Modeling
Well balanced discretization of shallow water equations and their coupling with subsurface flow.
Biofilm-Nutrient Dynamics
Dependence of the active layer on biofim-nutrient dynamics.
publications
Coupled flow and biomass-nutrient growth at pore-scale with permeable biofilm, adaptive singularity and multiple species
Published in Mathematical Biosciences and Engineering, 2021
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Heterogeneous Stefan problem and permafrost models with P0-P0 finite elements and fully implicit monolithic solver
Published in Electronic Research Archive, 2022
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Modeling Permafrost: Soil, Ice, and Some Really Hard Mathematics
Published in SIAM News Blog, 2023
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talks
An Introduction to Kalman Filters Using the Heat Equation
Date:
We present a basic application of Kalman filters in measuring the temperature of a heating object.
Accelerating Convergence of Newton’s Method for Degenerate Functions
Date:
We explore the application of Newton’s method when solving the Butler-Volmer equation, and ways to reduce the number of iterations taken by the solver.
teaching
Teaching experience 1
Undergraduate course, University 1, Department, 2014
This is a description of a teaching experience. You can use markdown like any other post.
Teaching experience 2
Workshop, University 1, Department, 2015
This is a description of a teaching experience. You can use markdown like any other post.