• DGM

  • Referenced in 177 articles [sw39282]
  • which is trained to satisfy the differential operator, initial condition, and boundary conditions. Our algorithm...
  • ADOL-C

  • Referenced in 249 articles [sw00019]
  • implementation of Automatic Differentiation (AD) based on the operator overloading facility in C++. Subsequently ... tool ADOL-C that applies operator overloading to differentiate C- and C++-code. Finally...
  • PDE-Net

  • Referenced in 63 articles [sw36963]
  • proposed PDE-Net is to learn differential operators by learning convolution kernels (filters), and apply ... certain finite difference approximations of differential operators, our approach has the most flexibility by learning ... both differential operators and the nonlinear responses. A special feature of the proposed ... relation between the orders of differential operators and the orders of sum rules of filters...
  • UFL

  • Referenced in 77 articles [sw11183]
  • space hierarchies for multifield problems, general differential operators and flexible tensor algebra. With these features ... element methods for complex systems of partial differential equations in near-mathematical notation, resulting...
  • PSEUDO

  • Referenced in 56 articles [sw01152]
  • integrable models. Solution method: Pseudo-differential Lax operators ... Restrictions: Handles only one dimensional pseudo-differential operators with scalar coefficients...
  • HolonomicFunctions

  • Referenced in 56 articles [sw06666]
  • noncommutative polynomial arithmetic with mixed difference-differential operators), noncommutative Gröbner bases, and solving of coupled...
  • Janet

  • Referenced in 37 articles [sw07776]
  • dealing with differential expressions and differential operators. A generic linearization for a non-linear system ... Weyl algebra representing ordinary differential operators in characteristic zero whose coefficients are rational functions ... this Weyl algebra. Among the orderings for differential monomials which are available in Janet...
  • Kan

  • Referenced in 46 articles [sw04929]
  • computing in the ring of differential operators D (and difference operators, ...) Kan, a computer package...
  • CFTs4D

  • Referenced in 32 articles [sw23882]
  • their main ingredients (tensor structures and differential operators) and establish a precise connection between them ... functions and seed conformal blocks, Casimir differential operators and treatment of conserved operators and permutation...
  • chebop

  • Referenced in 34 articles [sw12693]
  • hand side, the solution, and the differential operator with boundary conditions. Similarly it would...
  • DiffSharp

  • Referenced in 95 articles [sw16033]
  • differentiation library. DiffSharp is a functional automatic differentiation (AD) library. AD allows exact and efficient ... elementary operator level during program execution. AD is different from numerical differentiation, which is prone ... differentiation. Please see the API Overview page for a list of available operations. The library...
  • DeepONet

  • Referenced in 39 articles [sw42093]
  • DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem ... identifying two types of operators, i.e., dynamic systems and partial differential equations, and demonstrate that...
  • MRST-AD

  • Referenced in 24 articles [sw25330]
  • that enables simple construction of discrete differential operators; and (iii) automatic differentiation that ensures that ... implemented as a sequence of algebraic operations. We have implemented a modular, efficient framework...
  • bvpsuite

  • Referenced in 26 articles [sw08540]
  • problems in which singularities in the differential operator arise. We first briefly recapitulate the analytical ... code for both singular and regular ordinary differential equations and differential algebraic equations. We also...
  • SPHEREPACK

  • Referenced in 26 articles [sw04874]
  • package contains subroutines for computing common differential operators including divergence, vorticity, latitudinal derivatives, gradients...
  • CGAL

  • Referenced in 394 articles [sw00118]
  • Boolean operations, offsets, straight skeleton), polyhedra (Boolean operations), arrangements of curves and their applications ... parameterization, as well as estimation of local differential properties, and approximation of ridges and umbilics ... structures. All these data structures and algorithms operate on geometric objects like points and segments...
  • sysdfod

  • Referenced in 180 articles [sw20916]
  • Matlab function sysdfod. Digital fractional order differentiator/ integrator – IIR type. A new general IIR digital ... based on continued fraction expansion of weighted operator which is mixed scheme of the trapezoidal...
  • hlib

  • Referenced in 75 articles [sw04080]
  • BLAS and LAPACK for lower-level algebraic operations. The library contains functions ... treatment of partial differential equations and a number of integral operators as well as support...
  • RandNLA

  • Referenced in 22 articles [sw41749]
  • behavior of a discretized differential operator on a finite element mesh; an n × n positive...
  • SuSy 2

  • Referenced in 18 articles [sw09258]
  • functions and with the algebra of supersymmetric operators in extended N = 2 as well ... realization of the SuSy algebra of differential operators, compute the gradients of given SuSy Hamiltonians...