RODAS

Rosenbrock method of order 4(3), for problems of the form My’=f(x,y) with possibly singular matrix M; with dense output; algebraic order conditions are considered Concerning the linear algebra routines the user has the choice to link the code with DC_DECSOL and DECSOL or with DC_LAPACK and LAPACK and LAPACKC (actually, the file LAPACKC and the routines of DC_LAPACK which need COMPLEX*16 are not used)


References in zbMATH (referenced in 1637 articles )

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  1. Abdi, Ali; Hojjati, Gholamreza: Second derivative backward differentiation formulae for ODEs based on barycentric rational interpolants (2021)
  2. Akrivis, Georgios; Li, Dongfang: Structure-preserving Gauss methods for the nonlinear Schrödinger equation (2021)
  3. Almuslimani, Ibrahim; Vilmart, Gilles: Explicit stabilized integrators for stiff optimal control problems (2021)
  4. Al Sayed Ali, Mouhamad; Sadkane, Miloud: Acceleration of implicit schemes for large linear systems of differential-algebraic equations (2021)
  5. An, Rong; Gao, Huadong; Sun, Weiwei: Optimal error analysis of Euler and Crank-Nicolson projection finite difference schemes for Landau-Lifshitz equation (2021)
  6. Arévalo, Carmen; Söderlind, Gustaf; Hadjimichael, Yiannis; Fekete, Imre: Local error estimation and step size control in adaptive linear multistep methods (2021)
  7. Ávila, Andrés I.; González, Galo Javier; Kopecz, Stefan; Meister, Andreas: Extension of modified Patankar-Runge-Kutta schemes to nonautonomous production-destruction systems based on Oliver’s approach (2021)
  8. Behnoudfar, Pouria; Deng, Quanling; Calo, Victor M.: Higher-order generalized-( \alpha) methods for hyperbolic problems (2021)
  9. Bhatt, Ashish: Projected exponential Runge-Kutta methods for preserving dissipative properties of perturbed constrained Hamiltonian systems (2021)
  10. Bochacik, Tomasz; Goćwin, Maciej; Morkisz, Paweł M.; Przybyłowicz, Paweł: Randomized Runge-Kutta method -- stability and convergence under inexact information (2021)
  11. Bragin, M. D.; Rogov, B. V.: Bicompact schemes for the multidimensional convection-diffusion equation (2021)
  12. Buckwar, Evelyn; D’Ambrosio, Raffaele: Exponential mean-square stability properties of stochastic linear multistep methods (2021)
  13. Cheng, Xinyu; Li, Dong; Promislow, Keith; Wetton, Brian: Asymptotic behaviour of time stepping methods for phase field models (2021)
  14. Chen, Minghua; Yu, Fan; Zhou, Zhi: Backward difference formulae: the energy technique for subdiffusion equation (2021)
  15. Chikurov, N. G.: Numerical solution of stiff systems of ordinary differential equations by converting them to the form of a Shannon (2021)
  16. Clairon, Quentin: A regularization method for the parameter estimation problem in ordinary differential equations via discrete optimal control theory (2021)
  17. D’Ambrosio, Raffaele; Di Giovacchino, Stefano: Mean-square contractivity of stochastic (\vartheta)-methods (2021)
  18. D’Ambrosio, Raffaele; Di Giovacchino, Stefano: Nonlinear stability issues for stochastic Runge-Kutta methods (2021)
  19. D’Ambrosio, Raffaele; Paternoster, Beatrice: Multivalue collocation methods free from order reduction (2021)
  20. DeCaria, Victor P.; Hauck, Cory D.; Laiu, Ming Tse P.: Analysis of a new implicit solver for a semiconductor model (2021)

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