Controlled linear perturbation

Controlled linear perturbation

We present a new approach to the robustness problem in computational geometry, called controlled linear perturbation, and demonstrate it on Minkowski sums of polyhedra. The robustness problem is how to implement real RAM algorithms accurately and efficiently using computer arithmetic. Approximate computation in floating point arithmetic is efficient but can assign incorrect signs to geometric p...

Modified homotopy perturbation method for solving non-linear oscillator's ‎equations

In this paper a new form of the homptopy perturbation method is used for solving oscillator differential equation, which yields the Maclaurin series of the exact solution. Nonlinear vibration problems and differential equation oscillations have crucial importance in all areas of science and engineering. These equations equip a significant mathematical model for dynamical systems. The accuracy o...

Piecewise Constant Controlled Linear Fuzzy Systems

Homotopy perturbation method for linear programming problems

In this paper, He’s homotopy perturbation method (HPM) is applied for solving linear programming (LP) problems. This paper shows that some recent findings about this topic cannot be applied for all cases. Furthermore, we provide the correct application of HPM for LP problems. The proposed method has a simple and graceful structure. Finally, a numerical example is displayed to illustrate the pro...

Gravity beyond linear perturbation in braneworld

In the present paper, we briefly review recent studies of second order gravitational perturbations in braneworld models. After we mention the possibility of pathological behavior of gravity in higher order perturbations, second order perturbations are discussed in RandallSundrum braneworld models. Since mass spectrums of each braneworld model are different, we analyze them by different approach...