• Octave

  • Referenced in 304 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 differential-difference 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 differential-difference equations. Use of the package...
  • PDERecursionOperator

  • Referenced in 27 articles [sw12345]
  • computation of closed-form solutions of nonlinear polynomial partial differential equations (PDEs). The first package...
  • RATH

  • Referenced in 89 articles [sw00779]
  • entirely automatically tanh-polynomial travelling solitary wave solutions of a given nonlinear evolution equation...
  • 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 closed-form 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 closed-form 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: quasi-Newton and nonlinear-least 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 differential-difference 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...