
BRENT
 Referenced in 353 articles
[sw14021]
 BRENT is a C library which contains algorithms for finding zeros or minima ... assume that the function is differentiable...

DIFSUB
 Referenced in 101 articles
[sw04370]
 Algorithm 407 — DIFSUB for solution of ordinary differential equations...

Chebfun
 Referenced in 254 articles
[sw05897]
 Chebfun is a collection of algorithms and a software system in objectoriented MATLAB that ... decomposition and the SVD, and solves ordinary differential equations. The mathematical basis of the system...

CGAL
 Referenced in 301 articles
[sw00118]
 Algorithms Library (CGAL), offers data structures and algorithms like triangulations (2D constrained triangulations and Delaunay ... local differential properties, and approximation of ridges and umbilics), alpha shapes, convex hull algorithms...

TAMC
 Referenced in 71 articles
[sw07198]
 seen as the special case of differentiation of algorithms in reverse mode, where the dependent...

JADE
 Referenced in 93 articles
[sw24855]
 optional external archive. A new differential evolution (DE) algorithm, JADE, is proposed to improve optimization...

PrivateLR
 Referenced in 55 articles
[sw11354]
 Regularized Logistic Regression. PrivateLR implements two differentially private algorithms for estimating L2regularized logistic regression ... coefficients. A randomized algorithm F is epsilondifferentially private (C. Dwork, Differential Privacy, ICALP...

MEBDF
 Referenced in 72 articles
[sw00567]
 ordinary differential equations and differentialalgebraic equations is described. The algorithm is constructed by embedding ... this algorithm is in the numerical solution of time dependent partial differential equations, particularly ... lines. A code based on this algorithm is illustrated by application to several problems...

FreeFem++
 Referenced in 726 articles
[sw01436]
 method. It enables you to solve Partial Differential Equations (PDE) easily. Problems involving ... fast 2^dtreebased interpolation algorithm and a language for the manipulation of data...

RKC
 Referenced in 95 articles
[sw00808]
 explicit RungeKuttaChebychev algorithm for parabolic partial differential equations is discussed, implemented and tested ... this family makes it possible for the algorithm to select at each step the most...

PDESpecialSolutions
 Referenced in 57 articles
[sw12342]
 hyperbolic and elliptic functions for nonlinear PDEs. Algorithms are presented for the tanh and sech ... nonlinear ordinary and partial differential equations (ODEs and PDEs). New algorithms are given to find ... parameters, the algorithms determine the conditions on the parameters so that the differential equations admit ... related algorithms and symbolic software to compute exact solutions of nonlinear differential equations...

dcc
 Referenced in 28 articles
[sw07577]
 differentiating computer programs. An introduction to algorithmic differentiation. This is the first entrylevel book ... algorithmic (also known as automatic) differentiation (AD), providing fundamental rules for the generation of first...

DEtools
 Referenced in 30 articles
[sw21089]
 function DEtools: perform Zeilberger’s algorithm (differential case...

FracPECE
 Referenced in 37 articles
[sw24209]
 discuss an algorithm for the numerical solution of nonlinear differential equations of fractional ... integer) order. This algorithm allows us to analyze in an efficient way a mathematical model ... viscoplastic materials. The model contains a nonlinear differential equation of order β, where ... coupled with a firstorder differential equation. The algorithm for the numerical solution of these...

DDESpecialSolutions
 Referenced in 34 articles
[sw12343]
 tangent solutions for nonlinear differentialdifference equations. A new algorithm is presented to find exact ... differentialdifference equations in terms of tanh functions. For systems with parameters, the algorithm determines ... tanhmethod for partial differential equations. The new algorithm is implemented in Mathematica. The package ... compute traveling wave solutions of nonlinear polynomial differentialdifference equations. Use of the package, implementation...

INTOPT_90
 Referenced in 294 articles
[sw04705]
 results and ones that need further development. Algorithmic and practical tools are emphasized, theoretical considerations ... interval arithmetic, solving linear interval equations, automatic differentiation and code list generation, interval Newton method ... generation of code lists and automatic differentiation. The chapter on preconditioning (32 pages) contains some ... branch and bound, infeasibility test, interval Newton algorithm applied to the John conditions and computationally...

HOMPACK90
 Referenced in 43 articles
[sw00412]
 homotopy algorithms. Three qualitatively different algorithms – ordinary differential equation based, normal flow, quasiNewton augmented ... sparse matrix data structures, and new iterative algorithms for large sparse Jacobian matrices...

CppAD
 Referenced in 26 articles
[sw04866]
 Algorithm differentiation of implicit functions and optimal values In applied optimization, an understanding...

HOMPACK
 Referenced in 117 articles
[sw05324]
 three qualitatively different algorithms for tracking the homotopy zero curve: ordinary differential equationbased, normal...

PDECOL
 Referenced in 45 articles
[sw00690]
 Algorithm 540 PDECOL, general collocation software for partial differential equations...