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acslX is a software application for modeling and evaluating the performance of continuous systems described by time-dependent, nonlinear differential equations. ADMB is a software suite for non-linear statistical modeling based on C++ which uses automatic differentiation.
SolverStudio is a free Excel plug-in developed at the University of Auckland [1] that supports optimization and simulation modelling in a spreadsheet using an algebraic modeling language. It is popular in education, [ 2 ] the public sector [ 3 ] and industry for optimization users because it uses industry-standard modelling languages and is ...
Given a transformation between input and output values, described by a mathematical function, optimization deals with generating and selecting the best solution from some set of available alternatives, by systematically choosing input values from within an allowed set, computing the output of the function and recording the best output values found during the process.
Nonlinear ones are of particular interest for their commonality in describing real-world systems and how much more difficult they are to solve compared to linear differential equations. This list presents nonlinear ordinary differential equations that have been named, sorted by area of interest.
Artelys Knitro is a commercial software package for solving large scale nonlinear mathematical optimization problems.. KNITRO – (the original solver name) short for "Nonlinear Interior point Trust Region Optimization" (the "K" is silent) – was co-created by Richard Waltz, Jorge Nocedal, Todd Plantenga and Richard Byrd.
Software package developed by American and European researchers with the goal to enable automated solution of differential equations: FEniCS Team: 1.6.0: 2015-07-29: LGPL (Core) & GPL/LGPL (Non-Core) [1] Free: Linux, Unix, Mac OS X, Windows: FEATool Multiphysics: MATLAB FEM and PDE multiphysics simulation toolbox: Precise Simulation: 1.10: 2019 ...
Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs). Their use is also known as "numerical integration", although this term can also refer to the computation of integrals. Many differential equations cannot be solved exactly.
This is a list of open-source software to be used for high-order mathematical calculations. This software has played an important role in the field of mathematics. [1] Open-source software in mathematics has become pivotal in education because of the high cost of textbooks. [2]