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This paper reformulates a time-discontinuous finite element method (TD-FEM) based on a new class of shape functions, called complex Fourier hereafter, for solving two-dimensional elastodynamic problems. These shape functions, which are derived from their corresponding radial basis functions, have some advantages such as the satisfaction of exponential and trigonometric function fields in comple...

in chemical engineering, several processes are represented by singular boundary value problems. in general, classical numerical methods fail to produce good approximations for the singular boundary value problems. in this paper, chebyshev finite difference (chfd) method and dtm-pad´e method, which is a combination of differential transform method (dtm) and pad´e approximant, are applied for sol...

Let X be an n-set and L a set of nonnegative integers. F , a set of subsets of X, is said to be an L -intersection family if and only if for all E 6= F ∈ F , |E ∩F | ∈ L. A special case of a conjecture of Frankl and Füredi [4] states that if L = {1, 2, . . . , k}, k a positive integer, then |F| ≤ ∑ki=0 (n−1 i ). Here |F| denotes the number of elements in F . Recently Ramanan proved this conject...

We prove the existence of a subgame-perfect ε-equilibrium, for every ε > 0, in a class of multi-player games with perfect information, which we call free transition games. The novelty is that a non-trivial class of perfect information games is solved for subgameperfection, with multiple non-terminating actions, in which the payoff structure is generally not semi-continuous. Due to the lack of s...