
BRENT
 Referenced in 415 articles
[sw14021]
 BRENT is a C library which contains algorithms for finding zeros or minima ... assume that the function is differentiable...

Chebfun
 Referenced in 327 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 125 articles
[sw24855]
 optional external archive. A new differential evolution (DE) algorithm, JADE, is proposed to improve optimization...

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

CGAL
 Referenced in 355 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...

PrivateLR
 Referenced in 69 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...

FreeFem++
 Referenced in 1037 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...

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

FracPECE
 Referenced in 54 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...

RKC
 Referenced in 108 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...

MEBDF
 Referenced in 75 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...

PDESpecialSolutions
 Referenced in 62 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...

deal.ii
 Referenced in 549 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...

dcc
 Referenced in 31 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...

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

CppAD
 Referenced in 31 articles
[sw04866]
 Algorithm differentiation of implicit functions and optimal values In applied optimization, an understanding...

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...

DDESpecialSolutions
 Referenced in 35 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 304 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...