DSL and compiler framework for automated finite-differences and stencil computation
Python package for numerical derivatives and partial differential equations in any number of dimensions.
An adaptive and distributed-memory parallel implementation of the immersed boundary (IB) method
Financial Derivatives Calculator with 171+ Models (Options Calculator)
C and Python examples from my book on using PETSc and Firedrake to solve PDEs
Discretization tools for finite volume and inverse problems.
Basic Computational Fluid Dynamics (CFD) schemes implemented in FORTRAN using Finite-Volume and Finite-Difference Methods. Sample simulations and figures are provided.
A Physics-Informed Neural Network to solve 2D steady-state heat equations.
Code for geophysical 3D/2D Finite Difference modelling, Marchenko algorithms, 2D/3D x-w migration and utilities.
PSyclone is a source-to-source Fortran compiler designed to programmatically optimise, parallelise and instrument HPC applications via user-provided transformation scripts.
GPU-capable dynamical core for the CliMA Earth System Model: spectral-element and finite-difference discretization tools
A Julia library of summation-by-parts (SBP) operators used in finite difference, Fourier pseudospectral, continuous Galerkin, and discontinuous Galerkin methods to get provably stable semidiscretizations, paying special attention to boundary conditions.
Encoding physics to learn reaction-diffusion processes
My personal collection of Riemann solvers using MUSCL and WENO schemes written as short Matlab scripts
These matlab codes simulate grain growth by solving the phase field equations using a centered finite difference method
Collection of codes in Matlab(R) and C++ for solving basic problems presented and discussed in the "Computational Fluid Dynamics of Reactive Flows" course (Politecnico di Milano)
Forward code for the P-SV wave equation on a staggered grid, with full waveform inversion interfaces. Finite difference approach according to stress-velocity formulation.
Finite difference solution of 2D Poisson equation. Can handle Dirichlet, Neumann and mixed boundary conditions.
Pure Python implementation of the finite difference frequency domain (FDFD) method for electromagnetics
Fullwave 2.5: Ultrasound wave propagation simulation with heterogeneous power law attenuation modelling capabilities
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