References in zbMATH (referenced in 32 articles )

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  1. El-Ajou, Ahmad; Abu Arqub, Omar; Al-Smadi, Mohammed: A general form of the generalized Taylor’s formula with some applications (2015)
  2. Estévez Schwarz, Diana; Lamour, René: Projector based integration of DAEs with the Taylor series method using automatic differentiation (2014)
  3. Shokri, Ali: One and two-step new hybrid methods for the numerical solution of first order initial value problems (2014)
  4. Banerjee, Joydeep M.; McPhee, John: Symbolic sensitivity analysis of multibody systems (2013)
  5. Abad, Alberto; Barrio, Roberto; Blesa, Fernando; Rodríguez, Marcos: Algorithm 924, TIDES, a Taylor series integrator for differential equations (2012)
  6. Bervillier, C.: Status of the differential transformation method (2012)
  7. Rodríguez, Marcos; Barrio, Roberto: Reducing rounding errors and achieving Brouwer’s law with Taylor series method (2012)
  8. Thelwell, Roger J.; Warne, Paul G.; Warne, Debra A.: Cauchy-Kowalevski and polynomial ordinary differential equations (2012)
  9. Barrio, R.; Rodríguez, M.; Abad, A.; Blesa, F.: Breaking the limits: The Taylor series method (2011)
  10. Barrio, R.; Rodríguez, M.; Abad, A.; Serrano, S.: Uncertainty propagation or box propagation (2011)
  11. Nguyen-Ba, Truong; Hao, Han; Yagoub, Hemza; Vaillancourt, Rémi: One-step 9-stage Hermite-Birkhoff-Taylor DAE solver of order 10 (2011)
  12. Nguyen-Ba, T.; Yagoub, H.; Hao, H.; Vaillancourt, R.: Pryce pre-analysis adapted to some DAE solvers (2011)
  13. Bozic, Vladan; Nguyen-Ba, Truong; Vaillancourt, Rémi: A three-stage, VSVO, Hermite-Birkhoff-Taylor, ODE solver (2010)
  14. Neidinger, Richard D.: Introduction to automatic differentiation and MATLAB object-oriented programming (2010)
  15. Charpentier, Isabelle; dal Cappello, Claude; Utke, Jean: Efficient higher-order derivatives of the hypergeometric function (2008)
  16. Charpentier, Isabelle; Lejeune, Arnaud; Potier-Ferry, Michel: The Diamant approach for an efficient automatic differentiation of the asymptotic numerical method (2008)
  17. Corless, Robert M.; Ilie, Silvana: Polynomial cost for solving IVP for high-index DAE (2008)
  18. Nedialkov, Nedialko S.; Pryce, John D.: Solving differential algebraic equations by Taylor series. III: The DAETs code (2008)
  19. De la Cruz, H.; Biscay, R.J.; Carbonell, F.; Ozaki, T.; Jimenez, J.C.: A higher order local linearization method for solving ordinary differential equations (2007)
  20. Barrio, Roberto: Sensitivity analysis of ODEs/DAEs using the Taylor series method (2006)

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