On numerical integration of implicit ordinary differential equations

Zdzisław Jackiewicz; Marian Kwapisz

Displaying similar documents to “On numerical integration of implicit ordinary differential equations”

Boundary value problems for the mildly non-linear ordinary differential equation of the fourth order

Helena Růžičková (1974)

Aplikace matematiky

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On approximate solutions of initial value problems for integro-differential equation with quasilinear differential operator and generalized Volterra operator

Vladimir Fedorovitch Krapivin (1969)

Časopis pro pěstování matematiky

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On the existence of a weak solution of the boundary value problem for the equilibrium of a shallow shell reinforced with stiffening ribs

Igor Bock, Ján Lovíšek (1978)

Aplikace matematiky

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The existence and the unicity of a weak solution of the boundary value problem for a shallow shell reinforced with stiffening ribs is proved by the direct variational method. The boundary value problem is solved in the space $W (Ω) \subset H_{0}^{1} (Ω) \times H_{0}^{1} (Ω) \times H_{0}^{2} (Ω)$ , on which the corresponding bilinear form is coercive. A finite element method for numerical solution is introduced. The approximate solutions converge to a weak solution in the space $Q (Ω)$ .