There are two basic strategies used for carrying out the illumi nation computation the gathering strategy in which light reaching a point from all directions is simulated and the shooting strategy in which light emitted from a point in all directions is simulated Based on the strategy used all the existing methods can be classi ed into two broad categories namely gathering methods and shooting ...

In this paper, we present a variational integrator that is based on an approximation of the Euler–Lagrange boundary-value problem via Taylor’s method. This can be viewed as a special case of the shooting-based variational integrator. The Taylor variational integrator exploits the structure of the Taylor method, which results in a shooting method that is one order higher compared to other shooti...

To determine what factors are associated with successful free throw (FT) shooting in wheelchair basketball and to examine the relationship between shooting mechanics and player classification, a biomechanical analysis of clean shots was undertaken. Significant differences were observed between the player classes in FT shooting mechanics employed for a clean shot. Players from Classes 1 and 2 te...

In this paper we extend our previous result on reusing shooting paths when dealing with moving light sources in radiosity to the final gathering step algorithm, which combines a shooting solution and a gathering step. Paths are reused for each frame in both shooting and gathering steps, obtaining a noticeable reduction of cost in the computation of the solutions for every frame. Moreover, the c...

We describe a robust shooting algorithm to model backward-pumped Raman amplifiers. This algorithm uses a continuation method and a Jacobi weight in conjunction with the shooting algorithm. We compare this algorithm to the commonly used relaxation algorithm. We find that the shooting algorithm is more flexible, in that it can be applied to amplifiers in which one fixes the gain, in contrast to t...

In this report, the raypath equation is deduced by using plane wave theory and making high frequency approximation. Two kinds of two-point seismic ray tracing iterative nonlinear methods(the Shooting method and the Bending method) are discussed. The Shooting method fixes one end and apply the raypath equation to find the ray path. The Bending method fixes both ends and use Fermat’s principle to...

In this thesis we prove the existence of m-armed spiral wave solutions for the complex Ginzburg-Landau equation in the circular and spherical geometries. Instead of applying the shooting method in the literature, we establish a functional approach and generalize the known results of existence for rigidly-rotating spiral waves. Moreover, we prove the existence of two new patterns: frozen spirals...

Recommended by Kanishka Perera In a recent paper, Sun et al. (2007) studied the existence of positive solutions of nonhomo-geneous multipoint boundary value problems for a second-order differential equation. It is the purpose of this paper to show that the shooting method approach proposed in the recent paper by the first author can be extended to treat this more general problem. This is an ope...

In this paper, we investigate the following quasilinear and singular problem : { −∆pu = λ uδ + u q in Ω u|∂Ω = 0 , u > 0 in Ω (1) where Ω is an open bounded domain with smooth boundary, 1 < p, p− 1 < q and λ, δ > 0. We first prove that there exist weak solutions for λ > 0 small in W 1,p 0 (Ω)∩C(Ω̄) if and only if δ < 2+ 1 p−1 . Investigating the radial symmetric case (Ω = BR(0)), we prove by a s...