• DifferentialEquations.jl

  • Referenced in 40 articles [sw23910]
  • differential equations, jump diffusions, and (stochastic) partial differential equations. Through extensive use of multiple dispatch...
  • TFPDE

  • Referenced in 6 articles [sw12622]
  • approaches for moment statistics of stochastic partial differential equations with pure jump tempered α-stable ... process, we simulate the moment statistics of stochastic reaction-diffusion equations with additive TαS white...
  • spate

  • Referenced in 6 articles [sw12265]
  • time is defined through a stochastic partial differential equation (SPDE). The SPDE is solved...
  • ToolboxLS

  • Referenced in 50 articles [sw06312]
  • solving time-dependent Hamilton-Jacobi partial differential equations (PDEs) in the Matlab programming environment. Level ... such as control, robotics, differential games, dynamic programming, mesh generation, stochastic differential equations, financial mathematics...
  • NeuralPDE.jl

  • Referenced in 23 articles [sw39548]
  • consists of neural network solvers for partial differential equations using scientific machine learning (SciML) techniques ... package utilizes deep neural networks and neural stochastic differential equations to solve high-dimensional PDEs...
  • xSPDE

  • Referenced in 1 article [sw20633]
  • xSPDE, for solving ordinary and partial stochastic differential equations. The toolbox makes extensive...
  • Brain Dynamics Toolbox

  • Referenced in 2 articles [sw36533]
  • Delay Differential Equations (DDEs), Stochastic Differential Equations (SDEs) and Partial Differential Equations (PDEs). It allows...
  • MLMSRBF

  • Referenced in 40 articles [sw07571]
  • functions when derivatives are unavailable. The proposed Stochastic Response Surface (SRS) Method iteratively utilizes ... dimensional groundwater bioremediation application involving partial differential equations. The results indicate that Multistart Local MSRBF...
  • MIXAGE

  • Referenced in 2 articles [sw11848]
  • method based on a stochastic approach for space dependent nuclear reactor kinetics in one dimension ... analytically and numerically parabolic systems of partial differential equations appearing in the reactor physics studies ... multigroup diffusion theory. We use mainly stochastic differential equations associated to the equations...
  • abc-sde

  • Referenced in 3 articles [sw24744]
  • models having latent dynamics defined by stochastic differential equations (SDEs) and not limited ... multi-dimensional SDE systems are supported and partially observed systems are easily accommodated. Variance components...
  • DeepXDE

  • Referenced in 8 articles [sw32456]
  • applications; however, its use in solving partial differential equations (PDEs) has emerged only recently. Here ... loss of the neural network using automatic differentiation. The PINN algorithm is simple ... PDEs, including integro-differential equations, fractional PDEs, and stochastic PDEs. Moreover, from the implementation point...
  • SELANSI

  • Referenced in 2 articles [sw28254]
  • software toolbox for the simulation of stochastic multidimensional Gene Regulatory Networks (GRNs). SELANSI exploits intrinsic ... corresponding Chemical Master Equation (CME) with a partial integral differential equation (PIDE) that is solved...
  • Jive

  • Referenced in 2 articles [sw17737]
  • toolkit that is aimed at solving partial differential equations (PDEs). It provides ... system of equations; for solving such a system of equations; and for computing quantities derived ... building (sparse) matrices; solving systems of equations; evaluating shape functions and integrals; finding objects near ... fluid dynamics, solid mechanics, particle dynamics, stochastic material analyses, among others...
  • CRAN Differential Equations

  • Referenced in 1 article [sw13722]
  • disciplines. Differential equations can be separated into stochastic versus deterministic DEs. Problems can be split ... problems. One also distinguishes ordinary differential equations from partial differential equations, differential algebraic equations...
  • AMIKS

  • Referenced in 2 articles [sw22460]
  • AMIKS for the numerical solution of stochastic differential equations (SDE) systems on supercomputers. In addition ... capable to numerically solve SDE in partial derivatives, which reduces to a numerical solution...
  • pyomo.dae

  • Referenced in 2 articles [sw26557]
  • with high-order differential equations and partial differential equations, defined on restricted domain types ... capabilities of Pyomo to embed differential equation models within stochastic and integer programming models...
  • ADOL-C

  • Referenced in 244 articles [sw00019]
  • ADOL-C: Automatic Differentiation of C/C++. We present...
  • AMD

  • Referenced in 57 articles [sw00039]
  • Algorithm 837: AMD is a set of routines...
  • ANSYS

  • Referenced in 672 articles [sw00044]
  • ANSYS offers a comprehensive software suite that spans...
  • BoomerAMG

  • Referenced in 172 articles [sw00086]
  • BoomerAMG: A parallel algebraic multigrid solver and preconditioner...