Function approximationLogarithmic singularityMinimax approximationRational function approximationPiecewise minimax rational function approximations with the single and double precision accuracies are developed for (i) K(m) and E(m), the complete elliptic integral of the first and second kind, respectively, ...
Asymptotic behavior of solutions for the damped wave equation with slowly decaying data We consider the Cauchy problem for the damped wave equation u t t Δ u + u t = | u | ρ 1 u , ( t , x ) ∈ R + × R N and the heat equation t Δ = | ... T Narazaki,K Nishihara -...
Simulations of the Vlasov-Poisson system and the study of recurrence for the discontinuous Galerkin method We compute the solutions using a high-order discontinuous Galerkin method for the Vlasov equation, and the classical representation by Green's function for the Poisson equation in the one-dimensi...
Even if we have complex structure, there is no uniformization theorem for us to be able to use function theory. A typical theorem that we shall prove in this paper is the following: Let M be a complete Riemannian manifold with Ricci curvature bounded from below by some constant -K. Let ...
On a functional equation that has the quadratic-multiplicative property The spectrum generated by s-numbers and pre-quasi normed Orlicz-Cesáro mean sequence spaces Positive coincidence points for a class of nonlinear operators and their applications to matrix equations Asymptotic relations for the ...
I was told to create an array of roughnesses and plug them into the colebrook equation. Then, plot the moody. I'm just not sure how to go about that. The for loop portion is what I need help with. Sign in to comment. Answers (2) ...
Complete Stability of Neural Networks with Non-monotonic Piecewise Linear Activation Functions the fixed point theorem and the eigenvalue properties.
To apply least squares fitting and IGA methods, we need to define a function space of regular functions such as a spline space. In this section, we briefly introduce some basic definitions and the tools required to build spaces of geometrically smooth functions over a quad mesh. ...
Since Bi(v) is a singleton for each such equation, this equation becomes xi,j=∏s∈S(v)ysli,s for some j∈[ki]. Thus the variety V is smooth as C~v is unimodular. If Xi is not zero dimensional x∈ImXs (and p∈s) for all the slabs s corresponding to curves of Z contained...
Function approximationLogarithmic singularityMinimax approximationRational function approximationPiecewise minimax rational function approximations with the single and double precision accuracies are developed for (i) K(m) and E(m), the complete elliptic integral of the first and second kind, respectively, ...