Abstract A time-like curve on the unit pseudo-sphere can be a solition solution to shortening flow We first introduce sufficient conditions for it hold. And by studying properties of structure function non-geodesic curves, I deduce some satisfied curves when forming space plane, and then analyze influence extreme value point function, finally discuss classification according space-like situatio...

Building on recent advances in the analysis and design of algebraic flux correction (AFC) schemes, new differentiable limiter functions are constructed for efficient nonlinear solution strategies. The proposed scaling parameters used to limit artificial diffusion operators incorporated into residual a high order target scheme produce accurate bound-preserving finite element approximations hyper...

we consider the semilinear elliptic boundary value problem  = ∈∂ω− δ = ∈ωu x xu x f u x x( ) 0;( ) λ ( ( ));where λ > 0 is a parameter, ω is a bounded region in rn with a smooth boundary, and f is asmooth function. we prove, under some additional conditions, the existence of a positive solution for λlarge. we prove that our solution u for λ large is such that = →∞∈ω|| u ||: sup| u(x) |xas λ ...

in this paper, one of the numerical solution method of one- particle, one dimensional timeindependentschrodinger equation are presented that allows one to obtain accurate bound state eigenvalues and functions for an arbitrary potential energy function v(x).for each case, we draw eigen functions versus the related reduced variable for the correspondingenergies. the paper ended with a comparison ...