• PETSc

  • Referenced in 1018 articles [sw04012]
  • suite of parallel linear, nonlinear equation solvers and time integrators that may be used...
  • Octave

  • Referenced in 266 articles [sw00646]
  • algebra problems, finding the roots of nonlinear equations, integrating ordinary functions, manipulating polynomials, and integrating...
  • INTLAB

  • Referenced in 385 articles [sw04004]
  • fast) Gradients (to solve systems of nonlinear equations) Hessians (for global optimization) Taylor series ... sequential approach, slow for many variables) verified integration of (simple) univariate functions univariate and multivariate...
  • SPRINT2D

  • Referenced in 25 articles [sw00904]
  • solving both steady and unsteady partial differential equations (PDEs) in two-space variables. The software ... mesh generation, spatial discretization, time integration, nonlinear equations, linear algebra, spatial adaptivity, and visualization...
  • EnKF

  • Referenced in 307 articles [sw02066]
  • model estimate, it applies ensemble integrations to predict the error statistics forward in time ... EnKF has proven to efficiently handle strongly nonlinear dynamics and large state spaces ... used in realistic applications with primitive equation models for the ocean and atmosphere. A recent...
  • Algorithm 689

  • Referenced in 8 articles [sw13892]
  • collocation and iterated collocation for nonlinear Volterra integral equations of the second kind. This paper ... approximate solutions to systems of nonlinear Volterra integral equations of the second kind. The algorithm...
  • BEMECH

  • Referenced in 94 articles [sw10847]
  • numerical implementation of BEM in three-dimensional nonlinear stress analysis. In addition, the authors develop ... plasticity; b) the formulation of boundary integral equations for elasto-plasticity; c) the description ... methods for evaluating singularities and solving nonlinear systems of equations; e) the description of computer...
  • CRACK

  • Referenced in 56 articles [sw07754]
  • algebraic systems is presented. The integrable polynomial vector evolution equations, quadratic Hamiltonians with ... structure and nonlocal 2+1-dimensional evolution equations are studied. An overview of the computer ... algorithm designed to length-reduce differential equations is presented. The program CRACK is a computer ... ordinary, or partial differential equations with at most polynomial nonlinearity...
  • PDERecursionOperator

  • Referenced in 23 articles [sw12345]
  • integrability and the computation of closed-form solutions of nonlinear polynomial partial differential equations (PDEs...
  • NUMATH

  • Referenced in 5 articles [sw00639]
  • linear algebra, including systems of linear equations, linear last square problems, eigenproblems; approximation, interpolation ... polynomials; numerical integration, including multiple integrals, solving nonlinear equations; minimization of functions ... variables; linear, quadratic and nonlinear optimization; ordinary differential equations, integral equations and partial differential equations...
  • NICE

  • Referenced in 4 articles [sw10340]
  • explicit numerical scheme for efficient integration of nonlinear constitutive equations. The paper presents a simple ... efficient numerical scheme for the integration of nonlinear constitutive equations. Although it can be used ... integration of a system of algebraic and differential equations in general, the scheme is primarily ... this purpose we study two highly nonlinear examples, with the von Mises and GTN material...
  • D-NURBS

  • Referenced in 15 articles [sw09123]
  • from the numerical integration of a set of nonlinear differential equations, produces physically meaningful...
  • CasADi

  • Referenced in 17 articles [sw06437]
  • codes for nonlinear programming, quadratic programming and integration of differential-algebraic equations. CasADi is implemented ... tool against AMPL for a set of nonlinear programming problems from the CUTEr test suite...
  • PainleveTest

  • Referenced in 12 articles [sw12344]
  • integrability and the computation of closed-form solutions of nonlinear polynomial partial differential equations (PDEs...
  • FORMINT

  • Referenced in 3 articles [sw01199]
  • program for classification of integrable nonlinear evolution equations...
  • GUSTAF

  • Referenced in 4 articles [sw18113]
  • limited area finite-difference integration of a shallow-water equations model on a β-plane ... stable unconditionally for the linearized equations. Owing to its nonlinearity, the method is useful particularly ... integral invariants of the shallow-water equations. This method approximates the nonlinearly constrained minimization problem ... three integral invariants of the shallow-water equations. According to the number of nonlinear quasi...
  • Algorithm 731

  • Referenced in 37 articles [sw12847]
  • moving-grid equations. These routines are combined in an enveloping routine SKMRES, which delivers ... solve this stiff, nonlinear DAE system, a robust and efficient time-integrator must be applied...
  • CWRESU

  • Referenced in 37 articles [sw12903]
  • moving-grid equations. These routines are combined in an enveloping routine SKMRES, which delivers ... solve this stiff, nonlinear DAE system, a robust and efficient time-integrator must be applied...
  • CWRESX

  • Referenced in 37 articles [sw12904]
  • moving-grid equations. These routines are combined in an enveloping routine SKMRES, which delivers ... solve this stiff, nonlinear DAE system, a robust and efficient time-integrator must be applied...
  • LIMDEP

  • Referenced in 74 articles [sw04925]
  • integrated statistical package for estimation and analysis of linear and nonlinear models, with cross section ... wider range of single and multiple equation linear and nonlinear models. LIMDEP is a true...