Modernized Method of Averaged Characteristics for Problem Solving of Multiharmonic Resonant Interactions in Devices of High-Current Electronics [PDF]
Журнал нано- та електронної фізики, 2015 We modernize the method of averaged characteristics in the part of constructing scheme of asymptotic integration of nonlinear differential equation systems, taking into account the features of multiharmonic resonant interactions in devices high-current ...
V.V. Kulish +4 more
doaj
High order three part split symplectic integrators: Efficient techniques for the long time simulation of the disordered discrete nonlinear Schroedinger equation [PDF]
, 2014 While symplectic integration methods based on operator splitting are well established in many branches of science, high order methods for Hamiltonian systems that split in more than two parts have not been studied in great detail.
Bodyfelt, J. D. +4 more
core +4 more sources
Uniform WKB approximation of Coulomb wave functions for arbitrary partial wave
, 2008 Coulomb wave functions are difficult to compute numerically for extremely low energies, even with direct numerical integration. Hence, it is more convenient to use asymptotic formulas in this region.
Abramowitz M. +4 more
core +1 more source
Asymptotically Optimal Weighted Numerical Integration
Journal of Complexity, 1998 We study numerical integration of Hölder-type functions with respect to weights on the real line. Our study extends previous work by F. Curbera, [2] and relies on a connection between this problem and the approximation of distribution functions by empirical ones.
openaire +3 more sources
A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 The work is devoted to the development of an asymptotic integration algorithm for the Cauchy problem for a singularly perturbed partial differential integro-differential equation with rapidly oscillating coefficients, which describe various physical ...
B.T. Kalimbetov, Kh.F. Etmishev
doaj +1 more source
On the sub–diffusion fractional initial value problem with time variable order
Advances in Nonlinear Analysis, 2021 We consider a fractional derivative with order varying in time. Then, we derive for it a Leibniz' inequality and an integration by parts formula. We also study an initial value problem with our time variable order fractional derivative and present a ...
Cuesta Eduardo +3 more
doaj +1 more source
A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller
International Journal of Adaptive Control and Signal Processing, EarlyView.Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg +5 more
wiley +1 more source
Asymptotic Integration of Fractional Differential Equations with Integrodifferential Right-Hand Side
Mathematical Modelling and Analysis, 2015 In this paper we deal with the problem of asymptotic integration of a class of fractional differential equations of the Caputo type. The left-hand side of such type of equation is the Caputo derivative of the fractional order r ∈ (n − 1, n) of the ...
Milan Medved, Michal Pospisil
doaj +1 more source
Asymptotic integration and dispersion for hyperbolic equations [PDF]
, 2009 The aim of this paper is to establish time decay properties and dispersive estimates for strictly hyperbolic equations with homogeneous symbols and with time-dependent coefficients whose derivatives are integrable.
Matsuyama, Tokio, Ruzhansky, Michael
core +1 more source