
BRENT
 Referenced in 426 articles
[sw14021]
 BRENT is a C library which contains algorithms for finding zeros or minima ... assume that the function is differentiable...

Chebfun
 Referenced in 359 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...

JADE
 Referenced in 134 articles
[sw24855]
 optional external archive. A new differential evolution (DE) algorithm, JADE, is proposed to improve optimization...

PrivateLR
 Referenced in 77 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...

DIFSUB
 Referenced in 104 articles
[sw04370]
 Algorithm 407 — DIFSUB for solution of ordinary differential equations...

FreeFem++
 Referenced in 1134 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...

CGAL
 Referenced in 367 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...

FracPECE
 Referenced in 58 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...

TAMC
 Referenced in 72 articles
[sw07198]
 seen as the special case of differentiation of algorithms in reverse mode, where the dependent...

RKC
 Referenced in 115 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...

dcc
 Referenced in 35 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...

MEBDF
 Referenced in 80 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...

deal.ii
 Referenced in 570 articles
[sw03516]
 targeted at the computational solution of partial differential equations using adaptive finite elements. It uses ... interface to the complex data structures and algorithms required. The main aim of deal.II...

PDESpecialSolutions
 Referenced in 63 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...

PITCON
 Referenced in 259 articles
[sw04244]
 Algorithm 596: Methods for solving systems of nonlinear equations. Chapter 7: Parametrized systems of equations ... Continuation methods, in particular an ordinary differential equations approach, the code PITCON and simplicial approximation...

DEtools
 Referenced in 35 articles
[sw21089]
 function DEtools: perform Zeilberger’s algorithm (differential case...

CppAD
 Referenced in 34 articles
[sw04866]
 Algorithm differentiation of implicit functions and optimal values In applied optimization, an understanding...

DAISY
 Referenced in 45 articles
[sw09059]
 describe a software tool implementing a differential algebra algorithm to perform parameter identifiability analysis ... understanding of the mathematical tools. The DAISY (Differential Algebra for Identifiability of SYstems) software will...

HOMPACK90
 Referenced in 45 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...

INTOPT_90
 Referenced in 305 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...