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In the ray tracing problem for a 3-dimensional system of reflective or refractive objects, determining if a ray beginning at a given position and direction eventually reaches a certain point. [16] Determining if a particle path of an ideal fluid on a three dimensional domain eventually reaches a certain region in space. [17] [18]
Hermes Project: C++/Python library for rapid prototyping of space- and space-time adaptive hp-FEM solvers. IML++ is a C++ library for solving linear systems of equations, capable of dealing with dense, sparse, and distributed matrices. IT++ is a C++ library for linear algebra (matrices and vectors), signal processing and communications ...
vmmlib [44] is a C++ linear algebra library that supports 3-way tensors, emphasizing computation and manipulation of several tensor decompositions. Spartns [45] is a Sparse Tensor framework for Common Lisp. FAstMat [46] is a thread-safe general tensor algebra library written in C++ and specially designed for FEM/FVM/BEM/FDM element/edge wise ...
Free GPL v.3 or later FOSS statistics program, intended as an alternative to IBM SPSS Statistics. [Note 2] R: R Foundation 1997 1997 4.3.2 31 October 2023: Free GPL: Primarily for statistics, but there are many interfaces to open-source numerical software SageMath: William Stein: 2005 10.2 3 December 2023: Free GPL
Object Oriented Finite EleMent solver, written in C++: Bořek Patzák: 2.5: 2017-12-30: GPL Version 2: Free: Unix, Windows: OpenSees: Open System for Earthquake Engineering Simulation: 3.3.0: 2021-05-24: Non Commercial: Free: Unix, Linux, Windows: SESAM (FEM) Software suite for structural and hydrodynamic analysis of ships and offshore ...
Trilinear interpolation is a method of multivariate interpolation on a 3-dimensional regular grid. It approximates the value of a function at an intermediate point ( x , y , z ) {\displaystyle (x,y,z)} within the local axial rectangular prism linearly, using function data on the lattice points.
The library manages a set of n-dimensional scalar arrays, which the user program may access to perform updates. The library handles the synchronization of the boundaries (dubbed ghost zone or halo). The advantage of this interface is that the user program may loop over the arrays, which makes it easy to integrate legacy code [10].
Figure 1. A 32-segment quadric fractal viewed through "boxes" of different sizes. The pattern illustrates self similarity.. Box counting is a method of gathering data for analyzing complex patterns by breaking a dataset, object, image, etc. into smaller and smaller pieces, typically "box"-shaped, and analyzing the pieces at each smaller scale.