• hgm R

  • Referenced in 21 articles [sw08770]
  • constants satisfy holonomic systems of linear partial differential equations. The HGM consists of three steps ... solving ordinary differential equations and efficient solvers of systems of linear equations ... dimensional case, we numerically solve ordinary differential equation of rank...
  • MEBDF

  • Referenced in 88 articles [sw00567]
  • differential-algebraic equations is described. The algorithm is constructed by embedding a standard sparse linear ... numerical solution of time dependent partial differential equations, particularly in two or more space dimensions...
  • INTLAB

  • Referenced in 472 articles [sw04004]
  • structured matrices) sparse s.p.d. linear systems systems of nonlinear equations (including unconstrained optimization) roots ... univariate and multivariate nonlinear equations (simple and clusters) eigenvalue problems (simple and clusters, also inner ... complex sparse matrices (very fast) automatic differentiation (forward mode, vectorized computations, fast) Gradients (to solve...
  • MUDPACK

  • Referenced in 33 articles [sw00601]
  • efficient solution of linear elliptic partial differential equations MUDPACK is a package of portable FORTRAN...
  • FDE12

  • Referenced in 14 articles [sw22502]
  • Predictor-corrector PECE method for fractional differential equations. MATLAB Central File Exchange. FDE12 solves ... initial value problem for a non-linear differential equation of fractional order (FDE). This...
  • Isolde

  • Referenced in 29 articles [sw00458]
  • equations. The Maple ISOLDE package contains algorithms for symbolically solving various classes of linear functional ... local analysis of systems of linear differential and difference equations. We illustrate...
  • Diffpack

  • Referenced in 115 articles [sw00203]
  • software for the solution of partial differential equations, this article has its focus on object ... oriented design of iterative solvers for linear systems of equations. Special attention is paid...
  • ITPACK

  • Referenced in 47 articles [sw00459]
  • linear systems arising in the solution of partial differential equations by discretizations such as finite...
  • Fuchsia

  • Referenced in 20 articles [sw22363]
  • Fuchsia: a tool for reducing differential equations for Feynman master integrals to epsilon form. Nature ... calculated from solutions of a linear system of differential equations with rational coefficients. Such ... fuchsification step a given system of differential equations is transformed into the Fuchsian form with ... unknown transformation which satisfies a system of linear equations...
  • Gerris

  • Referenced in 354 articles [sw00341]
  • solution of the partial differential equations describing fluid flow. The source code is available free ... Euler, Stokes or Navier-Stokes equations Solves the linear and non-linear shallow-water equations...
  • Symbolic Math Toolbox

  • Referenced in 37 articles [sw08398]
  • solving, plotting, and manipulating symbolic math equations. You can create, run, and share symbolic math ... areas such as calculus, linear algebra, algebraic and ordinary differential equations, equation simplification, and equation...
  • NumGfun

  • Referenced in 12 articles [sw06716]
  • algorithms that operate on solutions of linear differential equations or recurrence relations with polynomial coefficients...
  • ODEPACK

  • Referenced in 206 articles [sw08341]
  • initial value problem for ordinary differential equation systems. It consists of nine solvers, namely ... also solvers for systems given in linearly implicit form, A(t,y) dy/dt...
  • BVPh

  • Referenced in 217 articles [sw06575]
  • equations. ”Homotopy Analysis Method in Nonlinear Differential Equations” presents the latest developments and applications ... great freedom to choose the equation-type of linear sub-problems and the base functions...
  • DESIR

  • Referenced in 8 articles [sw04310]
  • formal solutions of nth-order linear differential equations, first-order linear differential systems and asymptotic...
  • Firedrake

  • Referenced in 114 articles [sw14923]
  • portable solution of partial differential equations using the finite element method (FEM). Firedrake enables users ... global mesh data structures, as well as linear and non-linear solvers, are provided...
  • PLTMG

  • Referenced in 217 articles [sw00717]
  • package for solving elliptic partial differential equations in general regions of the plane ... multilevel solvers for the resulting systems of linear equations. PLTMG provides a suite of continuation...
  • DGM

  • Referenced in 185 articles [sw39282]
  • network which is trained to satisfy the differential operator, initial condition, and boundary conditions ... Burgers’ equation. The deep learning algorithm approximates the general solution to the Burgers’ equation ... neural network instead of a linear combination of basis functions. In addition, we prove...
  • TRACE-DDE

  • Referenced in 30 articles [sw12801]
  • Analysis and Characteristic Equations for Delay Differential Equations. In the recent years the authors developed ... methods is the use of pseudospectral differentiation techniques in order to get numerical approximations ... stability charts of linear autonomous systems of delay differential equations with discrete and distributed delays...
  • BOKASUN

  • Referenced in 9 articles [sw00084]
  • numerical solution of a system of linear differential equations...