Projects with this topic
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A collection of algorithms in numerical analysis implemented in C++. https://numcollect.musicscience37.com/
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Leonardus is a minimalist, stack-based programming system designed as a flexible framework for implementing and exploring algorithms. The syntax and semantics of its scripting language, LeoScript, are inspired by PostScript and Forth. It is extended with a prototype-based,object-oriented paradigm and provides a concise and expressive environment for learning and experimentation.
The project name is a nod to Leonardus Pisanus, who was named and became known as Fibonacci.
Consult the project's GitLab Pages for documentation.
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数値解析で調査したことをまとめる。 https://numanalnote.musicscience37.com/
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Adaptive P/ODE numerics with Grassmann element TensorField assembly
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Toolkit for studying numerical analysis and floating point algebra round-off
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This repository contains the MATLAB codes for the numerical approximation of the (basic and type) reproduction numbers of linear time-periodic ODE systems. This package allows full flexibility in splitting the model coefficients into ''birth'' and ''transition'' processes. R0_PeriodicODEs computes the pseudospectral discretization of the birth and transition operators B and M, namely BN and MN, obtained from the original time-periodic ODE system by applying the theory of evolution semigroups. Then, the approximation of the relevant reproduction number is obtained through the spectral radius of the approximating ''Next-Generation matrix'' BN*MN^(-1).
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Fatou sets in Julia (Fractals, Newton basins, Mandelbrot)
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Solving second-order elliptic Partial Differential Equations (PDE) using Isogeometric Finite Element Methods (IG-FEM) with Non-uniform rational basis splines (NURBS) mappings of piece-wise polynomial basis functions. Convergence and spatial regularity guaranteed.
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Revelations 1: A simple question about Newton's method with an unbelievably weird answer
What happens when we make a color-coded scatter plot of which zero a point converges to under Newton's method?
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A simple C-library for linear algebra operation : LU decomposition, QR decomposition, etc.
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Header files with functions I wrote and collected for CS407, Numerical Analysis
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Originally written to solve systems of integro-differential equations via collocation method in arbitrary number of variables. The current implementation of the method is based on a finite dimensional orthogonal system of functions.
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