Results 1 to 10 of about 7,200,415 (325)

On the effectiveness of spectral methods for the numerical solution of multi-frequency highly-oscillatory Hamiltonian problems [PDF]

Numerical Algorithms, 2018
Multi-frequency, highly-oscillatory Hamiltonian problems derive from the mathematical modelling of many real life applications. We here propose a variant of Hamiltonian Boundary Value Methods (HBVMs), which is able to efficiently deal with the numerical ...
Brugnano, L., Montijano, J. I., Rández, L.   +2 more
core   +4 more sources

On the location of zeros of oscillatory solution [PDF]

Transactions of the American Mathematical Society, 1983
The location of zeros of solutions of second order singular differential equations is provided by a new asymptotic decomposition formula. The approximate location of zeros is provided with high accuracy error estimates in the neighbourhood of the point at infinity.
H. Gingold
semanticscholar   +2 more sources

Oscillating shells and oscillating balls in AdS

Journal of High Energy Physics, 2017
It has recently been reported that certain thin timelike shells undergo oscillatory motion in AdS. In this paper, we compute two-point function of a probe field in the geodesic approximation in such an oscillating shell background.
Avik Banerjee, Arnab Kundu, Pratik Roy, Amitabh Virmani   +3 more
doaj   +3 more sources

Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation [PDF]

Opuscula Mathematica, 2017
This paper discusses oscillatory and asymptotic properties of solutions of a class of third-order nonlinear neutral differential equations. Some new sufficient conditions for a solution of the equation to be either oscillatory or to converges to zero are
John R. Graef, Ercan Tunҫ, Said R. Grace   +2 more
doaj   +2 more sources

Deep Neural Network Solutions for Oscillatory Fredholm Integral Equations

Journal of Integral Equations and Applications
We studied the use of deep neural networks (DNNs) in the numerical solution of the oscillatory Fredholm integral equation of the second kind. It is known that the solution of the equation exhibits certain oscillatory behaviors due to the oscillation of ...
Jie Jiang, Yuesheng Xu
semanticscholar   +3 more sources

Oscillatory solutions to transport equations [PDF]

Indiana University Mathematics Journal, 2006
Let n ≥ 3. We show that there is no topological vector space X C L ∞ n L 1 loc (R x R n ) that embeds compactly in L 1 loc , contains BV loc n L ∞ , and enjoys the following closure property: If f ∈ X n (R × R n ) has bounded divergence and u 0 ∈ X(R n ), then there exists u ∈ X(R x R n ) which solves ∂ t u + div (uf) = 0 u(0,·) = u 0 in the ...
Crippa, Gianluca, De Lellis, Camillo
openaire   +5 more sources

Oscillations of equations caused by several deviating arguments [PDF]

Opuscula Mathematica, 2019
Linear delay or advanced differential equations with variable coefficients and several not necessarily monotone arguments are considered, and some new oscillation criteria are given.
George E. Chatzarakis
doaj   +1 more source

Multi-scale Deep Neural Network (MscaleDNN) Methods for Oscillatory Stokes Flows in Complex Domains [PDF]

Communications in Computational Physics, 2020
In this paper, we study a multi-scale deep neural network (MscaleDNN) as a meshless numerical method for computing oscillatory Stokes flows in complex domains.
Bo Wang, Wenzhong Zhang, Wei Cai
semanticscholar   +1 more source

Improved iterative oscillation tests for first-order deviating differential equations [PDF]

Opuscula Mathematica, 2018
In this paper, improved oscillation conditions are established for the oscillation of all solutions of differential equations with non-monotone deviating arguments and nonnegative coefficients.
George E. Chatzarakis, Irena Jadlovská
doaj   +1 more source

Asymptotic behavior of oscillatory solutions

Hiroshima Mathematical Journal, 1988
The aim in this paper is to study the asymptotic behavior of the oscillatory solutions of certain delay differential equations of the form \[ (1)\quad x'(t)+p(t)x(t-\tau)+q(t)x(t-\sigma)=0,\quad t\geq t_ 0 \] and of certain neutral equations of the form \[ (2)\quad (d/dt)[x(t)- px(t-\tau)]+q(t)x(t-\sigma)=0,\quad t\geq t_ 0.
Ladas, G., Sficas, Y. G.
openaire   +3 more sources