Direct and Inverse Solver for Kinetic Capillary Electrophoresis (KCE)
Simulation of a space shuttle tile using 2D partial differential equation solvers
Repository for: "Agglomeration of Polygonal Grids using Graph Neural Networks with applications to Multigrid solvers"
Object-oriented constructor of finite difference schemes
Solution to a single 2d Burgers' equation via Matrix equation solvers
Basic simulations and analysis of a certain traveling-front case of the 1-dimensional Time-Dependent Ginzburg-Landau Equation with a bistable polynomial reaction function. Includes a paper with a detailed account of this work.
Multilevel solvers for the Helmholtz equation based on the shifted Laplace preconditioner
Codes for the paper "Control of the linearized Stefan problem in a periodic box".
Software for the book 'The Sequential Quadratic Hamiltonian Method' - CRC Press / Chapman & Hall (2023)
This is a repository for CS4ML. It is a general framework for active learning in regression problems. It approximates a target function arising from general types of data, rather than pointwise samples.
implementing a computational finite element program based on Prandtl stress partial differential equation for linearly analyzing torsional loading problems. C++ woulda been better for scalability
Simulation of a conducting cylinder rotating inside a magnetic field. (Finite difference methods for non-linear systems of PDEs).
the diffusive prey-predator model is solved using the Finite Difference Method. the research article referred to is mentioned here.
Laplace equation: numerical study of the influence of the shape of the (nonlinear) source terme on the principal eigenvalue of the linearized system. In 2017.
This Matlab code implements a branching diffusion method for solving partial differential equations (PDEs). The method uses Monte Carlo simulation and the branching process to approximate the solution of PDEs. The code provides a set of functions to calculate the mean, standard deviation, and L2 approximation error of the solution.
Finite difference solver for the 'Variance Gamma' partial-integro differential equation (PIDE)
Implementation of balanced truncation method for semi-discretized heat equation, boundary control, Neumann observation. In 2018.
Results are compared over a range of values of grid space for different order of approximations
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