
INTOPT_90
 Referenced in 304 articles
[sw04705]
 pages) introduces interval arithmetic, solving linear interval equations, automatic differentiation and code list generation, interval ... generation of code lists and automatic differentiation. The chapter on preconditioning (32 pages) contains some ... provides techniques to transform linear interval equations into ones which might have tighter solution intervals ... Nonlinear equations and optimization. Preprint.). The chapter about nondifferentiable problems (17 pages) studies function...

gfun
 Referenced in 132 articles
[sw00344]
 given two generating functions defined by linear differential equations with polynomial coefficients, there...

Expokit
 Referenced in 173 articles
[sw00258]
 solution of a system of linear ordinary differential equations with constant inhomogeneity. The backbone...

DIMSYM
 Referenced in 72 articles
[sw04279]
 determination of symmetries of differential equations. It also can be used to compute symmetries ... isometries), and also to solve linear partial differential equations. To use its primary function ... system of ordinary and/or partial differential equations and the type of symmetry to be found ... determining equations (a system of linear partial differential equations for the generator of the generic...

FEniCS
 Referenced in 553 articles
[sw04314]
 features for automated, efficient solution of differential equations, including automated solution of variational problems, automated ... comprehensive library of finite elements, high performance linear algebra and many more...

Maxima
 Referenced in 151 articles
[sw00560]
 Taylor series, Laplace transforms, ordinary differential equations, systems of linear equations, polynomials, and sets, lists...

RSOLVER
 Referenced in 71 articles
[sw04334]
 dimensions, or parametric robust stability of linear differential equations can be directly formulated as such...

HolonomicFunctions
 Referenced in 45 articles
[sw06666]
 annihilating ideal represents the set of linear differential equations, linear recurrences, qdifference equations ... mixed linear equations that a given function satisfies. Summation and integration of multivariate holonomic functions ... algebras (noncommutative polynomial arithmetic with mixed differencedifferential operators), noncommutative Gröbner bases ... solving of coupled linear systems of differential or difference equations...

Chebfun
 Referenced in 327 articles
[sw05897]
 linear algebra notions like the QR decomposition and the SVD, and solves ordinary differential equations...

Octave
 Referenced in 284 articles
[sw00646]
 solving common numerical linear algebra problems, finding the roots of nonlinear equations, integrating ordinary functions ... manipulating polynomials, and integrating ordinary differential and differentialalgebraic equations. It is easily extensible...

chebop
 Referenced in 30 articles
[sw12693]
 able to solve a linear differential equation by typing u=L , where...

Algorithm 919
 Referenced in 47 articles
[sw07350]
 large system of linear ordinary differential equations (ODEs) with polynomial inhomogeneity. This is equivalent ... initial condition. The matrix function is a linear combination of the matrix exponential and other...

HSolver
 Referenced in 42 articles
[sw07419]
 errors. It can handle nonlinear ordinary differential equations, but is not optimized for simpler...

Janet
 Referenced in 35 articles
[sw07776]
 like Gröbner bases for linear systems of partial differential equations. It works with left modules ... linearization for a nonlinear system of partial differential equations can be computed. Some procedures...

GELDA
 Referenced in 33 articles
[sw00331]
 numerical solution of linear differentialalgebraic equations (DAEs) with variable coefficients of arbitrary index ... linear DAEs is the so called strangeness index, which generalizes the differentiation index ... solution of linear quadratic optimal control problems and differentialalgebraic Riccati equations...

SENKIN
 Referenced in 20 articles
[sw12845]
 mass fractions and the set of linear differential equations that describe the firstorder sensitivity...

PDE2D
 Referenced in 48 articles
[sw04270]
 computational solution of ordinary and partial differential equations. Readers gain a thorough understanding ... MATLAB(r) to solve ordinary and partial differential equations.par The book begins with a review ... special features of the linear systems that arise when differential equations are solved. The following ... partial differential equation problems, including nonlinear timedependent and steadystate systems, and linear eigenvalue...

GNA
 Referenced in 21 articles
[sw35974]
 networks in the form of piecewiselinear differential equations. Instead of exact numerical values...

OreModules
 Referenced in 42 articles
[sw06226]
 other algebraic objects for linear systems of differential equations, timedelay systems, etc. The package...

redbKIT
 Referenced in 162 articles
[sw12977]
 analysis. Reduced basis methods for partial differential equations. An introduction. The whole mathematical presentation ... applicative interest in the context of both linear and nonlinear PDEs. Moreover, the inclusion...