computational mathematics

A rigorous and well-sourced Java mathematics library that extends the Hipparchus mathematics library that includes linear algebra over R^n and C^n (e.g. Matrix, ComplexMatrix, Eigen, complex Schur using the M-shifted large-bulge QR alg., and complex QR and Hessenberg decompositions using Householder transformations), frameworks for and implementations of hyper-dimensional (N-dimensional) geometry (e.g., NOrthotope, NBall, RealNDomain, AbstractNDomain), weighted non-linear least-squares optimization (Levenmerg-Marquardt with geodesic acceleration), non-linear dynamics (e.g., DynamicalSystem, StateTransitionMatrix),and a rich framework of multi-variate, vector- and matrix-valued function definitions (e.g., MultivariateVectorValuedFunction, VectorField, MultivariateMatrixValuedFunction). Whenever a reference is used in the process of development, that source is included in the JavaDoc and, if possible, a hyperlink is provided.

This repository contains all my notes and code related to my master's program in Computational Physics at the Physics Department of Aristotle University of Thessaloniki. This repository serves as a comprehensive compilation of my journey through the program, including detailed notes and code for each course. The materials here encompass a wide range of topics covered throughout my master's program, reflecting both the required tasks and my personal explorations beyond the curriculum.

We will offer a Free Software mayor command line version of uLTRALogic and separate visualization tools. For a privative commercial Psideralis full mayor GUI version contact us for more information. Wiki: https://gitlab.com/Psideralis/math-utilities/-/wikis/home