The notions of equivalence and strict equivalence for order one differential equations of the form f(y 0 , y,z) = 0 are introduced. The more explicit notion of strict equivalence is applied to examples and questions concerning autonomous equations and equations having the Painleve property. The ´ or[r]
is textbook is ideal for an undergraduate course in Engineering System Dynamics and Controls. It is intended to provide the reader with a thorough understanding of the process of creating mathematical (and computerbased) models of physical systems. The material is restricted to lumped parameter mode[r]
This book is intended to provide the engineer with technical information on subsynchronous resonance (SSR), and to show how the computation of eigenvalues for the study of SSR in an interconnected power system can be accomplished. It is primarily a book on mathematical modeling.[r]
We establish formulas for computingestimating the Fr´echet and Mordukhovich coderivatives of implicit multifunctions defined by generalized equations in Asplund spaces. These formulas are applied to obtain conditions for solution stability of parametric variational systems over perturbed smoothbound[r]
The infinite system of differential equations for the nonequilibrium Green functions of electrons in a single-level quantum dot connected with two conducting leads is truncated by applying the mean-field approximation to the mean values of the products of four operators. As the result the system of[r]
We consider a class of stochastic functional differential equations with distributed delays whose coefficients are superlinear growth and H¨older continuous with respect to the delay components. We introduce an EulerMaruyama approximation scheme for these equations and study their strong rate of con[r]
We study the strong rate of convergence of the tamed EulerMaruyama approximation for onedimensional stochastic differential equations with superlinearly growing drift and H¨older continuous diffusion coef ficients.
(BQ) Part 1 book Basic engineering mathematics has contents: Basic arithmetic; fractions, decimals and percentages; indices, standard form and engineering notation; calculations and evaluation of formulae; computer numbering systems; simple equations,...and other contents.
Part 2 Lectures In basic computational numerical analysis has contents: Numerical solution of ODEs, numerical solution of PDEs (mathematical introduction, overview of discretization methods for PDEs, elliptic equations,...).
Ổn định kích thích nhỏ và ứng dụng trên Phần mềm PSSE.NỘI DUNG CHÍNH PHẦN 21 (small signal stability and application of small signal stability): 1. Transient Stability: a. Time Domain Analysis. b. Step wise Integration of Differential Equations. 2. SmallSignal Stability. a. Frequency Domain An[r]
Abstract. This paper studies both nonautonomous stochastic differential equations and stochastic differential delay equations with Markovian switching. A new result on almost sure stability of stochastic differential equations is given. Moreover, we provide new conditions for tightness and almost su[r]
Lecture Physical modeling in MATLAB has contents: Variables and values, scripts, loops, vectors, functions, zerofinding, functions of vectors, ordinary differential equations, systems of ODEs, secondorder systems, optimization and interpolation,...and other contents.
We find upper bounds for the rate of convergence when the EulerMaruyama approximation is used in order to compute the expectation of nonsmooth functionals of some stochastic differential equations whose diffusion coefficient is constant, whereas the drift coefficient may be very irregular. As a bypr[r]