• VODE

  • Referenced in 207 articles [sw01005]
  • package VODE for the numerical solution of (stiff and non-stiff) systems of ordinary differential ... order change are used. Moreover, in the stiff case, the code has the possibility ... backward differentiation formula methods for stiff systems. They find that the first ones performs better...
  • Ode15s

  • Referenced in 330 articles [sw07426]
  • ode15s. Solve stiff differential equations and DAEs; variable order method...
  • ode23s

  • Referenced in 297 articles [sw10137]
  • ode23s: Solve stiff differential equations; low order method...
  • LSODE

  • Referenced in 135 articles [sw04374]
  • Livermore Solver for Ordinary Differential Equations) solves stiff and nonstiff systems of the form dy/dt ... stiff case, it treats the Jacobian matrix df/dy as either a dense (full ... methods (the Gear methods) in the stiff case. The linear systems that arise are solved...
  • ODEPACK

  • Referenced in 200 articles [sw08341]
  • LSODIS. The collection is suitable for both stiff and nonstiff systems. It includes solvers...
  • MEBDF

  • Referenced in 85 articles [sw00567]
  • numerical solution of large sparse systems of stiff initial value problems. An efficient algorithm ... numerical integration of large sparse systems of stiff initial value ordinary differential equations and differential...
  • Proteus

  • Referenced in 106 articles [sw41563]
  • determination of free parameters, such as the stiffness coefficient in the penalty scheme...
  • Taylor

  • Referenced in 96 articles [sw10816]
  • instance, it is not suitable for stiff systems...
  • CVODE

  • Referenced in 62 articles [sw04947]
  • CVODE is a solver for stiff and nonstiff ordinary differential equation (ODE) systems (initial value ... order varying between 1 and 12. For stiff problems, CVODE includes the Backward Differentiation Formulas...
  • ROWMAP

  • Referenced in 49 articles [sw09627]
  • code with Krylov techniques for large stiff ODEs. We present a Krylov-W-code ROWMAP ... integration of stiff initial value problems. It is based on the ROW-methods ... illustrate the efficiency of ROWMAP for large stiff systems. Furthermore, the application to nonautonomous systems...
  • TRIC

  • Referenced in 47 articles [sw02165]
  • anisotropic plate and complex shell structures. Its stiffness matrix is based on 12 straining modes ... involves only exact integrations; its stiffness, mass and geometrical matrices are all explicitly derived ... congruent matrix operation transforms the elemental natural stiffness matrix to the local and global Cartesian...
  • S-ROCK

  • Referenced in 41 articles [sw11792]
  • ROCK: Chebyshev methods for stiff stochastic differential equations. We present and analyze a new class ... numerical methods for the solution of stiff stochastic differential equations (SDEs). These methods, called ... mean-square sense. For mean-square stable stiff SDEs, they are much more efficient than...
  • RADAR5

  • Referenced in 38 articles [sw08709]
  • Implementing Radau IIA methods for stiff delay differential equations. This article discusses the numerical solution ... general class of delay differential equations, including stiff problems, differential-algebraic delay equations, and neutral...
  • LSODA

  • Referenced in 30 articles [sw27217]
  • LSODA, Ordinary Differential Equation Solver for Stiff or Non-Stiff System. LSODA, written jointly with ... banded Jacobian when the problem is stiff, but it automatically selects between nonstiff (Adams ... stiff (BDF) methods. It uses the nonstiff method initially, and dynamically monitors data in order...
  • ROS3P

  • Referenced in 45 articles [sw00813]
  • Wanner [Solving ordinary differential equations. II: Stiff and differential-algebraic problems...
  • Total FETI

  • Referenced in 45 articles [sw08714]
  • idea is to simplify inversion of the stiffness matrices of subdomains by using Lagrange multipliers...
  • ATOMFT

  • Referenced in 41 articles [sw09274]
  • Taylor series method, is designated to solve stiff and nonstiff initial value problems for ordinary...
  • Algorithm 731

  • Referenced in 37 articles [sw12847]
  • complete DAE system. To solve this stiff, nonlinear DAE system, a robust and efficient time...
  • CWRESU

  • Referenced in 37 articles [sw12903]
  • complete DAE system. To solve this stiff, nonlinear DAE system, a robust and efficient time...