On some unconditionally stable, higher order methods for the numerical solution of the structural dynamics equations. (English) Zbl 0488.73087


74S30 Other numerical methods in solid mechanics (MSC2010)
65L20 Stability and convergence of numerical methods for ordinary differential equations
65D30 Numerical integration
65J99 Numerical analysis in abstract spaces
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[1] Brusa, Int. J. num. Meth. Engng 15 pp 685– (1980)
[2] Nørsett, BIT 14 pp 63– (1974)
[3] ’Semi-explicit Runge-Kutta methods’, Math. Comp. No. 6 (1974), Univ. of Trondheim.
[4] ’Sur l’approximation des équations différentielles opérationelles linéaires par des méthodes de Runge-Kutta’, Thesis, Univ. Paris VI (1975).
[5] Alexander, SIAM J. Num. Anal. 14 pp 1006– (1976)
[6] ’Some time-dependent soil-structure interaction problems’, Proc. NMSR Symp., pp. 251-290. Karlsruhe, 1975.
[7] Siemieniuch, BIT 16 pp 172– (1976)
[8] Nørsett, SIAM J. Num. Anal. 15 pp 1008– (1978)
[9] Wanner, BIT 18 pp 475– (1978)
[10] Wanner, BIT 20 pp 102– (1980)
[11] Calahan, Proc. I.E.E.E. 56 pp 744– (1968)
[12] Serbin, Comp. Meth. Appl. Mech. Engng. 23 pp 333– (1980)
[13] ’Evaluating time integration methods for nonlinear dynamics analysis’, in Finite Element Analysis of Transient Nonlinear Structural Behavior, (Eds. and ), pp. 35-58. ASME, New York, 1975.
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