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 1695 articles )

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  1. Behnoudfar, Pouria; Loli, Gabriele; Reali, Alessandro; Sangalli, Giancarlo; Calo, Victor M.: Explicit high-order generalized-(\alpha) methods for isogeometric analysis of structural dynamics (2022)
  2. Chang, Shuenn-Yih: A family of matrix coefficient formulas for solving ordinary differential equations (2022)
  3. Ehigie, Julius O.; Luan, Vu Thai; Okunuga, Solomon A.; You, Xiong: Exponentially fitted two-derivative DIRK methods for oscillatory differential equations (2022)
  4. Kulikova, Maria V.; Kulikov, Gennady Yu.: Square-root filtering via covariance SVD factors in the accurate continuous-discrete extended-cubature Kalman filter (2022)
  5. Liao, Juan; Liu, Wei; Wang, Xiaoyan: Truncated Milstein method for non-autonomous stochastic differential equations and its modification (2022)
  6. Li, Jinze; Zhao, Rui; Yu, Kaiping; Li, Xiangyang: Directly self-starting higher-order implicit integration algorithms with flexible dissipation control for structural dynamics (2022)
  7. Luo, Xin-long; Xiao, Hang; Lv, Jia-hui: Continuation Newton methods with the residual trust-region time-stepping scheme for nonlinear equations (2022)
  8. Okor, T.; Nwachukwu, G. C.: High order extended boundary value methods for the solution of stiff systems of ODEs (2022)
  9. Peletier, Mark A.; Rossi, Riccarda; Savaré, Giuseppe; Tse, Oliver: Jump processes as generalized gradient flows (2022)
  10. Yang, Jiang; Yuan, Zhaoming; Zhou, Zhi: Arbitrarily high-order maximum bound preserving schemes with cut-off postprocessing for Allen-Cahn equations (2022)
  11. Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes: Efficient implementation of advanced Richardson extrapolation in an atmospheric chemical scheme (2022)
  12. Abdi, Ali; Hojjati, Gholamreza: Second derivative backward differentiation formulae for ODEs based on barycentric rational interpolants (2021)
  13. Abreu, Eduardo; Durán, Angel: Spectral discretizations analysis with time strong stability preserving properties for pseudo-parabolic models (2021)
  14. Akrivis, Georgios; Chen, Minghua; Yu, Fan; Zhou, Zhi: The energy technique for the six-step BDF method (2021)
  15. Akrivis, Georgios; Li, Dongfang: Structure-preserving Gauss methods for the nonlinear Schrödinger equation (2021)
  16. Albi, Giacomo; Pareschi, Lorenzo: High order semi-implicit multistep methods for time-dependent partial differential equations (2021)
  17. Almuslimani, Ibrahim; Vilmart, Gilles: Explicit stabilized integrators for stiff optimal control problems (2021)
  18. Al Sayed Ali, Mouhamad; Sadkane, Miloud: Acceleration of implicit schemes for large linear systems of differential-algebraic equations (2021)
  19. An, Rong; Gao, Huadong; Sun, Weiwei: Optimal error analysis of Euler and Crank-Nicolson projection finite difference schemes for Landau-Lifshitz equation (2021)
  20. Arévalo, Carmen; Söderlind, Gustaf; Hadjimichael, Yiannis; Fekete, Imre: Local error estimation and step size control in adaptive linear multistep methods (2021)

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