Codes to solve a scalar wave equation using spacetime discretization methods.
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Updated
Mar 19, 2018 - Python
Codes to solve a scalar wave equation using spacetime discretization methods.
Fourier-Hermite Galerkin method applied to the Vlasov-Poisson equation
This is a wave equation solver in spherical symmetry that demonstrates the use of parity-limited Chebyshev polynomials
A simple implementation of the paper "Multitask Spectral Learning of Weighted Automata" by Rabusseau et al.
A Python program that computes the electronic densities and binding energies for isolated neutral atoms from an orbital-free density functional scheme based on polymer self-consistent field theory.
Post-processing toolbox dedicated to the DNS solver POUSSINS
This is my Code for my Year 3 Bsc Mathematics Project at Durham University. This project is focussed on using spectral methods and the quaslinearization method to solve non-linear ODEs. I developed a linear ODE solver that can use a Chebyshev / Laguerre / Even Chebsyev or Trigonometric basis.
Spectral clustering, RBF kernels, and hyperparameter optimization on non-radial data are used to cluster data that gives traditional k-means difficulty.
Investigating the effect of surfactants on superhydrophobic surfaces using spectral methods as a UROP project with Dr Michael Mayer
End-semester project for a course on nonlinear PDEs.
Fluid dynamics equations solvers. Mainly focused around the Navier-Stokes equations
A Python-Based Elliptic Solver in Axisymmetry
Under the supervision of Prof. Matthew Browning, I was tasked to study the creation of a spectral solver for Boussinesq approximated fluid dynamics and then, using Dedalus, to study the effects of rotation and stratification on turbulent convection.
Radio-wave transfer matrix model for glacier ice
Software implementation for paper Heuristic Analysis of Manifolds from Simulated Cryo-EM Ensemble Data
Working with numerical grids made easy.
Physically-informed model discovery of systems with nonlinear, rational terms using the SINDy-PI method. Contains functionality for spectral filtering/differentiation.
Fast and flexible two- and three-point correlation analysis for time series using spectral methods.
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