• PDESpecialSolutions

  • Referenced in 63 articles [sw12342]
  • closed-form solutions of nonlinear ordinary and partial differential equations (ODEs and PDEs). New algorithms ... given to find exact polynomial solutions of ODEs and PDEs in terms of Jacobi ... automatically compute new special solutions of nonlinear PDEs. Use of the package, implementation issues, scope...
  • Rif

  • Referenced in 8 articles [sw12338]
  • analysis of systems of polynomially nonlinear ODEs and PDEs. The package includes a command...
  • CVODES

  • Referenced in 35 articles [sw04946]
  • solver for stiff and nonstiff ODE systems (initial value problem) given in explicit form ... Adams-Moulton and BDF) and the corresponding nonlinear iteration methods, as well as all linear ... available for the integration of the original ODEs, the sensitivity systems, or the adjoint system...
  • NODES

  • Referenced in 3 articles [sw00629]
  • analysis of systems of nonlinear ODEs. It is based on the quasimonomial transformation theory...
  • SERK2v3

  • Referenced in 7 articles [sw14473]
  • mildly stiff nonlinear partial differential equations. Multidimensional nonlinear parabolic partial differential equations (PDEs) appear ... explicit ordinary differential equations (ODE) solvers for the integration of stiff problems. However, in this ... algebra routines to solve large nonlinear systems associated to ODEs and therefore are especially well ... spectral radius in the new code: a nonlinear power method and another procedure based...
  • RootSolve

  • Referenced in 19 articles [sw08339]
  • nonlinear functions, and to perform steady-state and equilibrium analysis of ordinary differential equations (ODE...
  • xmds

  • Referenced in 4 articles [sw01451]
  • problems based on coupled complex nonlinear stochastic ODEs and PDEs is outlined. Its input...
  • MC++

  • Referenced in 11 articles [sw13199]
  • verified solution of nonlinear algebraic equations and ordinary differential equations (ODEs). MC++ is programmed...
  • rifsimp

  • Referenced in 2 articles [sw25281]
  • Maple rifsimp - simplify overdetermined polynomially nonlinear PDE or ODE systems: The rifsimp function ... rework overdetermined systems of polynomially nonlinear PDEs or ODEs and inequations to a more useful...
  • Alkahest III

  • Referenced in 1 article [sw21813]
  • automatic analysis of periodic weakly nonlinear ODEs. In previous papers by the current authors various ... automatic derivation of periodic solutions to weakly nonlinear differential equations have been reported. The equations...
  • Hermes2D

  • Referenced in 10 articles [sw06452]
  • ranging from ODE and stationary linear PDE to complex time-dependent nonlinear multiphysics PDE systems...
  • BiM

  • Referenced in 22 articles [sw08342]
  • solution of stiff initial value problems for ODEs. We describe in detail most ... code are characterized by a diagonal nonlinear splitting, which makes its extension for parallel computers...
  • CVODE

  • Referenced in 56 articles [sw04947]
  • stiff and nonstiff ordinary differential equation (ODE) systems (initial value problem) given in explicit form ... either choice of formula, the resulting nonlinear system is solved (approximately) at each integration step...
  • BiMD

  • Referenced in 23 articles [sw13275]
  • providing a (relatively) easy definition of suitable nonlinear splittings for solving the corresponding discrete problems ... method for (stiff) initial value problems for ODEs. The order of the method varies from...
  • ALGLIB

  • Referenced in 15 articles [sw04806]
  • analysis (classification/regression, including neural networks); Optimization and nonlinear solvers; Interpolation and linear/nonlinear least-squares fitting ... Transform and many other algorithms (numerical integration, ODEs, statistics, special functions...
  • CONMAX

  • Referenced in 2 articles [sw05155]
  • ODE-based approach to nonlinearly constrained minimax problems The paper presents an algorithm for solving...
  • MUSCOD-II

  • Referenced in 19 articles [sw13053]
  • systems described by ordinary differential equations (ODE) or by differential-algebraic equations (DAE) of index ... software has the capability to solve highly nonlinear problems with complex equality or inequality constraints...
  • NFsim

  • Referenced in 11 articles [sw22256]
  • simulating coarse-grained representations of complex nonlinear reaction mechanisms. A publication describing NFsim ... cannot be handled with traditional stochastic or ODE simulators. Models are specified in the BioNetGen...
  • CHEMSODE

  • Referenced in 11 articles [sw00124]
  • their ability to solve these chemical ODE systems both accurately and efficiently. These problems ... computational overhead necessary to solve the nonlinear algebraic system derived from the implicit time-stepping...
  • LabFit

  • Referenced in 1 article [sw06003]
  • equations, roots of function, nonlinear equation, ordinary differential equation (ODE up to fifth order), system ... five equations), approached function for ODE solution, calculator, etc; 7) Extract data (x;y) from ... with ”xyExtract Graph Digitizer”); 8) Curve Fitting (nonlinear regression - least squares method, Levenberg-Marquardt algorithm...