4. Bibliography#

  1. K.-J. BATHE, E.-L. WILSON: « Numerical Methods in Finite Element Analysis », Prentice Hall Inc.

    1. ANTUNE, F. AXISA, H. BUNG, F. DOVEIL, F., E. of LANGRE: « Methods of analysis in nonlinear dynamics of structures » - IPSI.

  3. J.-R. LEVESQUE, P. LABBE et al.: « Module TRANSIS of code POUX in code reference documentation POUX » - Internal Report EDF.

    1. RAUD, P. RICHARD: « Structure and validation of the nonlinear calculation of the hydrodynamic levels of code CADYRO » — Note HP-61/92/041.

  5. G.-D. HAHN: « A Modified Euler Method for Dynamic Analysis » - International Journal for Numerical Methods in Engineering Vol. 32 (1991), pp 943-955.

  6. K.-C. PARK, P.-G. UNDERWOOD: « A Variable-Step Central Difference Method for Structural Dynamic Analysis — Part II: Implementation and performance evaluation » - Computer Methods in Applied Mechanics and Engineering Vol. 23 (1980) pp 259-279.

  7. K.-C. PARK, P.-G. UNDERWOOD: « A Variable-Step Central Difference Method for Structural Dynamic Analysis — Part I: Theoritical Aspects » - Computer Methods in Applied Mechanics and Engineering Vol. 22 (1980) pp 241-258.

    1. JACQUART, S. GARREAU: « Adaptive time step integration algorithm in Code_Aster » - Note HP-61/95/023.

  9. O.C.. ZIENKIEWICZ, Y.M XIE: « A Posteriori Local Error Estimation and Adaptative Time-Stepping Procedure for Dynamic Analysis » Earthquake Engineering and Structural Dynamics Vol. 20 (1991) (1991) pp. 871-887.

  10. A.-C. LEGER, G. JACQUART: « Algorithms for integrating the DYNA_VIBRA/BASE_CALCUL =” GENE “operator from Code_Aster: reference documentation » - Note HP-51/96/072.

  11. R.M. THOMAS, I. GLADWELL: « Variable Order Variable Step Algorithms for Second Order Systems » - International Journal for Numerical Methods in Engineering Vol. 26 (1998) pp.39‑53.

  12. P.G. BERGAN, E. MOLLESTAD: « An Automatic Time-Stepping Algorithm for Dynamic Problem » - Computer Methods in Applied Mechanics and Engineering Vol. 49 (1985) pp.299-318.

    1. GAY, S. GRANGER, T. FRIOU: « Presentation of a method for simulating fluidelastic coupling in a non-linear regime » - Note HT-32/94/015.

    1. HAIRER, S.P. NØ RSETT, S. WANNER: « Solving ordinary differential equations I: Nonstiff problems » - Springer-Verlag, second revised edition, 1993

  15. C. GARDNER: « Numerical Methods for Ordinary and Partial Differential Equations » - book draft, < https://math.la.asu.edu/~gardner/522.html>` https://math.la.asu.edu/~gardner/522.html`_

  16. BANK RE, COUGHRAN JR WM, FICHTNER W, GROSSE EH, ROSE EH, DJ, DJ, SMITH RK « Transient Simulations Of Silicon Devices And Circuits » - IEEE Trans CAD 1985; CAD -4 (4): 436—51

      1. BATHE, M. M. I. BAIG: « We a composite implicit time integration procedure for nonlinear dynamics » - Computers and Structures, 83 (2005) 2513—2524

    1. TARDIEU: « Implementation of the TRBDF2 temporal integration scheme in code_aster » - Internal note EDF R&D 6125-1722-2021-02622-EN