Quantum Monte Carlo Integration: The Full Advantage in Minimal Circuit Depth [PDF]
Quantum, 2022 This paper proposes a method of quantum Monte Carlo integration that retains the full quadratic quantum advantage, without requiring any arithmetic or quantum phase estimation to be performed on the quantum computer.
Steven Herbert
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The remainder in asymptotic integration II [PDF]
Proceedings of the American Mathematical Society, 2010 Levinson’s Theorem in asymptotic integration of linear differential systems is strengthened in a quantitative way. It is shown that any decay in excess of absolute integrability appears with the remainder.
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Uniform asymptotic behaviour of integrals of Bessel functions with a large parameter in the argument [PDF]
, 2010 Copyright @ The author 2010. Published by Oxford University Press; all rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.orgIn this paper, we deal with integrals whose integrand has a rapidly oscillating zero-order ...
Voloshin, V +5 more
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Asymptotic integration of systems of two wave equations with small parameter
Lietuvos Matematikos Rinkinys, 2016 In this article we consider a hyperbolic system of two weakly nonlinear equations. Coefficients of the equations and initial conditions are periodical functions of the space variable.
Aleksandras Krylovas
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On the asymptotic expansion of Airy's Integral [PDF]
Proceedings of the Glasgow Mathematical Association, 1963 The integral functionis known as Airy's Integral since, when z is real, it is equal to the integralwhich first arose in Airy's researches on optics. It is readily seen that w= Ai(z) satisfies the differential equation d2w/dz2 = zw, an equation which also has solutions Ai(ωz), Ai(ω2z), where ω is the complex cube root of unity, exp 2/3πi.
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On the regularized trace formula for a Sturm-Liouville boundary value problem with two delays and two potentials [PDF]
Mathematica MoravicaThis paper is devoted to a Sturm-Liouville boundary value problem with two constant delays τ1,τ2 ∈ [π/3,π) and two potentials q1,q2 ∈ L2[0,π]. We derive an asymptotic expansion of the characteristic function and obtain asymptotic formulas for the ...
Pavlović-Komazec Nataša
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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
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Asymptotic Integration of Certain Differential Equations in Banach Space
Моделирование и анализ информационных систем, 2017 We investigate the problem of constructing the asymptotics for weak solutions of certain class of linear differential equations in the Banach space as the independent variable tends to infinity.
Pavel N. Nesterov
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Integration as a two-way process in the EU? Assessing the Relationship between the European Integration Fund and the Common Basic Principles on Integration. CEPS Paperbacks, July 2011 [PDF]
, 2011 This report examines the nature, the limits and potential of the principle of integration as a two-way process of mutual accommodation between migrants and the receiving societies.
Atger, Anais Faure, Carrera, Sergio
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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
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