eigenvalue-problem

Stability, bifurcation, and sensitivity analysis for Nek5000

Variational approximation by Gridap package to resolve T.I.S.E. in Julia

⚛️ PipeSchrod: An intuitive, pipeline-based Python library to define, solve, and visualize Schrödinger equation. Supports multiple potential models (Cornell, Harmonic) and solvers (Matrix, Numerov). Build quantum mechanics pipelines effortlessly using the >> operator! 🚀

Reprodução didática em C++17 do artigo de Koshiba e Inoue (1992), aplicando o método dos elementos finitos com elementos de aresta triangulares à análise de guias de onda de micro-ondas e ópticos, com foco em autovalores, constante de propagação, modos guiados e eliminação de soluções espúrias.

Discrete sine transform (DST) based discretisation of Laplace operator on planar domains, used for uniform spectrum approximation.

Reference implementations of QR-algorithm and reverse iteration for eigenvalue problem

Discrete sine transform (DST) based discretisation of regular Sturm--Liouville operators in the Schrödinger form on a line segment, used for uniform spectrum approximation.

Physics-informed neural networks for compressible Kelvin–Helmholtz spectral branches, eigenvalues and eigenmodes.

Eigenstates of the 1D time-independent Schrodinger equation in Scilab and Fortran

Spectral and metric foundations for quantising the cubic ghost model (Holdom). A phase rotation maps it to the imaginary cubic oscillator; the Grecchi–Martinez normal form, massive non-resonance and a positive metric solved to third order give a spectral theorem. With Davide Batic. Code and figures included.

Repositório em C++ para reproduzir o artigo “Finite Element Analysis of Anisotropic Optical Waveguide with Arbitrary Index Profile”, implementando a formulação escalar por elementos finitos para guias de onda ópticos anisotrópicos, com casos de validação, documentação teórica e foco em reprodutibilidade.

Numerical and experimental study of Chladni patterns on a free-edge rectangular plate

Repository to accompany our manuscript "Spectral Method for Eigenvalue Problems" with codes that we used to produce our results presented in that manuscript

Numerical solution of the time-independent Schrödinger equation using finite difference methods in Python. Active computational physics project.