
Octave
 Referenced in 312 articles
[sw00646]
 finding the roots of nonlinear equations, integrating ordinary functions, manipulating polynomials, and integrating ordinary differential...

INTLAB
 Referenced in 472 articles
[sw04004]
 unconstrained optimization) roots of univariate and multivariate nonlinear equations (simple and clusters) eigenvalue problems (simple ... clusters) quadrature for univariate functions univariate polynomial zeros (simple and clusters) interval arithmetic for real ... computations, fast) Gradients (to solve systems of nonlinear equations) Hessians (for global optimization) Taylor series ... simple) univariate functions univariate and multivariate (interval) polynomials rigorous real interval standard functions (fast, very...

CRACK
 Referenced in 58 articles
[sw07754]
 partial differential equations with at most polynomial nonlinearity...

DDESpecialSolutions
 Referenced in 35 articles
[sw12343]
 Symbolic computation of hyperbolic tangent solutions for nonlinear differentialdifference equations. A new algorithm ... parameters so that the equations might admit polynomial solutions in tanh. Examples illustrate ... automatically compute traveling wave solutions of nonlinear polynomial differentialdifference equations. Use of the package...

RATH
 Referenced in 90 articles
[sw00779]
 entirely automatically tanhpolynomial travelling solitary wave solutions of a given nonlinear evolution equation...

PDERecursionOperator
 Referenced in 27 articles
[sw12345]
 computation of closedform solutions of nonlinear polynomial partial differential equations (PDEs). The first package...

diffgrob2
 Referenced in 54 articles
[sw11328]
 simplify overdetermined systems of nonlinear differential equations of polynomial type. The algorithms are based...

Differentiation Matrix Suite
 Referenced in 254 articles
[sw12762]
 barycentric formulas, and computing roots of orthogonal polynomials. It is demonstrated ... fields of special functions, quantum mechanics, nonlinear waves, and hydrodynamic stability...

DAISY
 Referenced in 54 articles
[sw09059]
 analysis for (linear and) nonlinear dynamic models described by polynomial or rational equations. Our goal...

PainleveTest
 Referenced in 13 articles
[sw12344]
 computation of closedform solutions of nonlinear polynomial partial differential equations (PDEs). The first package...

dReal
 Referenced in 34 articles
[sw07157]
 tool can handle various nonlinear real functions such as polynomials, trigonometric functions, exponential functions...

PDESpecialSolutions
 Referenced in 65 articles
[sw12342]
 which lead to closedform solutions of nonlinear ordinary and partial differential equations (ODEs ... algorithms are given to find exact polynomial solutions of ODEs and PDEs in terms ... parameters so that the differential equations admit polynomial solutions in tanh, sech, combinations thereof, Jacobi ... automatically compute new special solutions of nonlinear PDEs. Use of the package, implementation issues, scope...

Tensorlab
 Referenced in 77 articles
[sw14255]
 approximation (LMLRA), complex optimization: quasiNewton and nonlinearleast squares optimization with complex variables including ... numerical complex differentiation, global minimization of bivariate polynomials and rational functions: both real and complex...

Rif
 Referenced in 8 articles
[sw12338]
 simplification and analysis of systems of polynomially nonlinear ODEs and PDEs. The package includes...

ORBIT
 Referenced in 39 articles
[sw20552]
 ORBIT to interpolate nonlinear functions using fewer function evaluations than the polynomial models considered...

TDDS
 Referenced in 7 articles
[sw31513]
 computing Thomas decompositions of systems of nonlinear PDEs. We present the Maple package TDDS (Thomas ... Decomposition of Differential Systems). Given a polynomially nonlinear differential system, which in addition to equations...

HOMPACK
 Referenced in 122 articles
[sw05324]
 finding zeros or fixed points of nonlinear systems of equations that are globally convergent ... included for the special case of polynomial systems...

MARS
 Referenced in 5 articles
[sw00549]
 describe their package MARS for solving nonlinear polynomial systems of equations, the theoretical basis behind...

JACOBI
 Referenced in 7 articles
[sw13620]
 presented to find exact polynomial solutions of nonlinear differentialdifference equations(DDEs) in terms...

rifsimp
 Referenced in 2 articles
[sw25281]
 Maple rifsimp  simplify overdetermined polynomially nonlinear PDE or ODE systems: The rifsimp function ... simplify or rework overdetermined systems of polynomially nonlinear PDEs or ODEs and inequations...