
INTLAB
 Referenced in 435 articles
[sw04004]
 nonlinear equations) Hessians (for global optimization) Taylor series for univariate functions automatic slopes (sequential approach...

Maxima
 Referenced in 154 articles
[sw00560]
 numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear...

PROC NLMIXED
 Referenced in 65 articles
[sw11039]
 Gaussian quadrature and a firstorder Taylor series approximation. A variety of alternative optimization techniques...

ATOMFT
 Referenced in 40 articles
[sw09274]
 ATOMFT: Solving ODEs and DAEs using Taylor series. The ATOMFT system, based on a Taylor...

DAETS
 Referenced in 37 articles
[sw12535]
 Solving differential algebraic equations by Taylor series. III: The DAETs code. The authors have developed ... Taylor series method for solving numerically an initialvalue problem differential algebraic equation (DAE) that...

Survey
 Referenced in 50 articles
[sw08163]
 unequally weighted survey samples. Variances by Taylor series linearisation or replicate weights. Poststratification, calibration...

TIDES
 Referenced in 29 articles
[sw06664]
 Algorithm 924: TIDES, a Taylor Series Integrator for Differential EquationS. We present a new free ... called TIDES, based on the classical Taylor series method and using an optimized variablestepsize ... This is based on the extended Taylor series method for sensitivity analysis...

qLearn
 Referenced in 17 articles
[sw11117]
 inference like the bootstrap or Taylor series arguments to breakdown if applied without correction. Here...

SSPTSmethods
 Referenced in 7 articles
[sw38981]
 derivative timestepping schemes based on Taylor series conditions. Highorder strong stability preserving ... rather with a more natural Taylor series formulation. In this work we demonstrate sufficient conditions ... discretizations in a forward Euler and Taylor series formulation. We call these strong stability preserving ... Taylor series (SSPTS) methods. We also prove that the maximal order...

SoftCADS
 Referenced in 3 articles
[sw36925]
 metabolic reaction systems by a Taylor series method. We have previously developed a software ... accuracy of a computer, although a Taylor series method was employed to numerically solve ... approximate formula is expanded into a Taylor series in time and the firstterm value ... flux function expanded into a Taylor series in an independent or dependent variable. The result...

Algorithm 542
 Referenced in 7 articles
[sw22830]
 Algorithm 542: Incomplete Gamma functions. Taylor’s series and continued fractions for evaluating Tricomi...

sns
 Referenced in 4 articles
[sw17406]
 Gaussian resulting from a secondorder Taylorseries expansion of logdensity around the current...

DynaThinLayer
 Referenced in 4 articles
[sw08738]
 involving transcendental functions by truncating the Taylor series of the stiffness matrix to the fourth...

InitDAE
 Referenced in 3 articles
[sw35960]
 possibilities, in particular the integration with Taylor series methods...

Turb'Opty
 Referenced in 3 articles
[sw09047]
 solver Turb’Opty™, based on a Taylor series expansion to high order derivatives...

cuQuWa
 Referenced in 1 article
[sw28320]
 parallel algorithm based on the Taylor series expansion of the evolution operator, and compare ... Kutta integration. We prove that both Taylorseries expansion and RungeKutta algorithms are reliable ... have a low computational cost, the Taylorseries expansion showing the additional advantage...

LieMath
 Referenced in 2 articles
[sw32155]
 based map concatenation. Truncated power series algebra (TPSA) techniques have been implemented to compute ... Mathematica to operate on truncated multivariate Taylor series. In addition, this makes possible obtaining parameter...

svr
 Referenced in 2 articles
[sw09334]
 which are an alternative to the Taylor series linearization methods available in Stata...

CTA
 Referenced in 2 articles
[sw09373]
 curves result from truncations of a Taylor series expansion of the gradient inverse function...

ADMC++
 Referenced in 2 articles
[sw07460]
 called ADMC++ that provides derivatives and Taylor series coefficients of matrixvalued functions written...