• Chebfun

  • Referenced in 412 articles [sw05897]
  • object-oriented MATLAB that extends familiar powerful methods of numerical computation involving numbers to continuous ... decomposition and the SVD, and solves ordinary differential equations. The mathematical basis of the system ... combines tools of Chebyshev expansions, fast Fourier transform, barycentric interpolation, recursive zerofinding, and automatic differentiation...
  • FODE

  • Referenced in 296 articles [sw08377]
  • Fokker-Planck equation is transformed into a time fractional ordinary differential equation (FODE ... combining the predictor-corrector approach with the method of lines, the algorithm is designed...
  • INTOPT_90

  • Referenced in 306 articles [sw04705]
  • differentiation and code list generation, interval Newton method, and a short glance at the topological ... generation of code lists and automatic differentiation. The chapter on preconditioning (32 pages) contains some ... results and it provides techniques to transform linear interval equations into ones which might have...
  • Fuchsia

  • Referenced in 20 articles [sw22363]
  • from solutions of a linear system of differential equations with rational coefficients. Such a system ... transformations can be used to evaluate Feynman master integrals. Solution method: The solution method ... differential equations is transformed into the Fuchsian form with the help of the Moser method...
  • SimMechanics

  • Referenced in 8 articles [sw04349]
  • nonlinear) and Laplace transforms, and numerical methods for solving differential equations. Because specific applications require...
  • PDEFIT

  • Referenced in 18 articles [sw00691]
  • Using a method of lines, the partial differential equations are discretized and transformed into...
  • FracSym

  • Referenced in 28 articles [sw16769]
  • symmetries for fractional order differential equations (FDEs) using the method as described by E. Buckwar ... Gazizov et al. [“Continuous transformation groups of fractional differential equations”, Vestn. USATU ... Springer. 51–59 (2011; Zbl 1217.37066)]. The method has been generalised here to allow...
  • COFFEE

  • Referenced in 22 articles [sw20274]
  • application of padding and data alignment, a transformation for enhancing the effectiveness of compiler auto ... solution of partial differential equations using the finite element method. An optimisation pipeline in COFFEE...
  • vsn

  • Referenced in 29 articles [sw06105]
  • colours within array, and between arrays. The method uses a robust variant of the maximum ... variance stabilizing data transformation. Differences between transformed intensities are analogous to ”normalized log-ratios”. However ... usually more sensitive and specific in detecting differential transcription...
  • Algorithm 888

  • Referenced in 3 articles [sw22885]
  • using spherical harmonic transforms is presented. Methods of these classes compute differential operators ... used to solve simple partial differential equations in a spherical geometry. The spectral synthesis ... analysis algorithms using fast Fourier transforms and Legendre transforms with the associated Legendre functions ... presented in detail. A set of methods associated with a spectral_field class provides spectral...
  • Talbot Suite DE

  • Referenced in 2 articles [sw22692]
  • Method to Solve Differential Problems. In order to solve a differential problem, the Laplace Transform...
  • PersistenceImages

  • Referenced in 35 articles [sw41418]
  • prove the stability of this transformation with respect to small perturbations in the inputs ... power of PIs is compared against existing methods, showing significant performance gains. We explore ... linked twist map) and a partial differential equation (the anisotropic Kuramoto-Sivashinsky equation) provide...
  • GELDA

  • Referenced in 33 articles [sw00331]
  • general DAEs require the system to have differentiation index not higher than one, which corresponds ... undetermined components, then the standard methods as implemented in codes like DASSL of Petzold ... determines all the local invariants and then transforms the system (1) into an equivalent strangeness...
  • ReLIADiff

  • Referenced in 5 articles [sw11669]
  • Package for Real Laplace Transform Inversion based on Algorithmic Differentiation. Algorithm ... Weeks method, which is used for calculating function values of the inverse Laplace transform ... software requires transform values at arbitrary points in the complex plane. We developed a software ... modification of Algorithm 662 using transform values at arbitrary points on real axis. ReLIADiff, implemented...
  • Algorithm 967

  • Referenced in 6 articles [sw23693]
  • elliptic partial differential equation (PDE) can be computed using an integral transform: A convolution with ... volume potential. We present a fast multipole method (FMM) for computing volume potentials...
  • ANNarchy

  • Referenced in 2 articles [sw30220]
  • processing unit). Several numerical methods are available to transform ordinary differential equations into an efficient...
  • splib

  • Referenced in 7 articles [sw35310]
  • FORTRAN Routines for Spectral methods. Here is a collection of 80 FORTRAN routines that written ... weights, transformation from Fourier coefficients to point-values (and viceversa), evaluation of norms, differentiation...
  • averaging

  • Referenced in 4 articles [sw38869]
  • differential equations in (mathbb{R}^n) with Lévy motion, using an integral transform method...
  • RationalFirstintegrals

  • Referenced in 8 articles [sw14472]
  • vector field. Our approach builds upon a method proposed by Ferragut and Giacomini, whose main ... power series solution of a first order differential equation and the reconstruction of a bivariate ... power series. This enables us to transform their method into a certified algorithm computing rational...
  • EasyDyn

  • Referenced in 4 articles [sw31067]
  • represented by second-order (or first-order) differential equations and, more particularly, multibody systems ... vector, rotation tensor, homogeneous transformation matrix, inertia tensor) + assignment methods and operators; sim: routines ... integration of second-order differential equations; mbs: front-end to sim building the equations...