Results 41 to 50 of about 33,144,385 (333)
By means of the shooting method together with the maximum principle and the Kneser–Hukahara continuum theorem, the authors present the existence, uniqueness and qualitative properties of solutions to nonlinear second-order boundary value problem on the ...
Minghe Pei, Libo Wang, Xuezhe Lv
doaj +1 more source
A robust numerical method to study oscillatory instability of gap solitary waves [PDF]
The spectral problem associated with the linearization about solitary waves of spinor systems or optical coupled mode equations supporting gap solitons is formulated in terms of the Evans function, a complex analytic function whose zeros correspond to ...
Alexander J. +3 more
core +3 more sources
The linearization methods as a basis to derive the relaxation and the shooting methods
This chapter investigates numerical solution of nonlinear two-point boundary value problems. It establishes a connection between three important, seemingly unrelated, classes of iterative methods, namely: the linearization methods, the relaxation methods (finite difference methods), and the shooting methods. It has recently been demonstrated that using
Faragó, István, Filipov, Stefan M.
openaire +2 more sources
On Application of the Ray-Shooting Method for LQR via Static-Output-Feedback
In this article we suggest a randomized algorithm for the LQR (Linear Quadratic Regulator) optimal-control problem via static-output-feedback. The suggested algorithm is based on the recently introduced randomized optimization method called the Ray ...
Y. Peretz
semanticscholar +1 more source
Primal-dual simplex method for shooting
Abstract Gomory [R.E. Gomory, Some polyhedra related to combinatorial problems, Linear Algebra and its Applications 2 (1969), 451–558] solved the cyclic group problem by a dynamic programming algorithm. We discuss its complexity and introduce a (fractional) cutting plane algorithm as an alternative algorithm.
Sangho Shim +2 more
openaire +1 more source
An Implementation of the Ray Shooting Method [PDF]
Ray shooting is a powerful but numerically costly means of solving the lens equation. Unlike pure numerical root finding techniques, ray shooting can automatically address the problem of finite size effects by defining the target area and, if necessary, weighting rays according to a limb-darkening model.
Markus Hundertmark +2 more
openaire +1 more source
Determination of AdS Monopole Wall via Minimization
In this note we solve a minimization problem arising in a recent work of Bolognesi and Tong on the determination of an AdS monopole wall. We show that the problem has a unique solution. Although the solution cannot be obtained explicitly, we show that it
Cao, Lei, Yang, Yisong
core +1 more source
Microcanonical rates from ring-polymer molecular dynamics: Direct-shooting, stationary-phase, and maximum-entropy approaches [PDF]
We address the calculation of microcanonical reaction rates for processes involving significant nuclear quantum effects using ring-polymer molecular dynamics (RPMD), both with and without electronically non-adiabatic transitions.
Miller, Thomas F., III +2 more
core
On the smoothness of nonlinear system identification
We shed new light on the \textit{smoothness} of optimization problems arising in prediction error parameter estimation of linear and nonlinear systems.
Aguirre, Luis A. +4 more
core +1 more source
Background. The purpose of this work is to study numerically TE-polarized waves in a layer filled with various dielectric materials. Material and methods.
E.Yu. Smol'kin, M.O. Snegur
doaj +1 more source

