Author's implementation of SIGGRAPH 2023 paper, "A Practical Walk-on-Boundary Method for Boundary Value Problems."

Solve various integral equations using numerical methods in Python

Electric field volume integral equation solver, incorporating method of moments and SWG basis functions.

Author's implementation of SIGGRAPH 2024 paper, "Velocity-Based Monte Carlo Fluids"

List of calculation exercises I solved ⏳📝

Dense Matrix Market

NeuralFieldEq.jl: An efficient solver to compute Neural Field Equations in several scenarios

A generic solver for Ornstein-Zernike equations from liquid state theory

Complex package for smart integral solving.

Electric Field Integral Equation (EFIE) numerical solver for 2D arbitrary and inhomogeneous objects with cylindrical symmetry.

FFT-VI code for eddy currents problems

🎓Laboratory works Bashkir State University by subject the Numerical Analysis

A toolbox for solving integral-related problems on (IFS-based) fractals.

Several Integral method in c++ such as: Trapezoid, Boole, Simpsons, et al

Produces numerical solution for integral equations of the type Z(t)=z(t) + \int_0^t f(y, Z(t-y)) dG(y).

A set of utilities for obtaining a Born cross section using visible cross section data

Brief notes on Monte Carlo path tracing, explaining the mathematics behind it so that it can be implemented in any programming language.

Integral equation method for Topology Optimization

Implementation of numerical analysis algorithms in python & M (octave/matlab).

Python solver for Fredholm integral equation of the first kind.