Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Dinvay, Evgueni"'
Novel methods to integrate the time-dependent Schr\"odinger equation within the framework of multiscale approximation is presented. The methods are based on symplectic splitting algorithms to separate the kinetic and potential parts of the correspond
Externí odkaz:
http://arxiv.org/abs/2405.08115
Autor:
Bjørgve, Magnar, Tantardini, Christian, Jensen, Stig Rune, S., Gabriel A. Gerez, Wind, Peter, Eikås, Roberto Di Remigio, Dinvay, Evgueni, Frediani, Luca
Publikováno v:
J. Chem. Phys. 160, 162502 (2024)
Wavelets and Multiwavelets have lately been adopted in Quantum Chemistry to overcome challenges presented by the two main families of basis sets: Gaussian atomic orbitals and plane waves. In addition to their numerical advantages (high precision, loc
Externí odkaz:
http://arxiv.org/abs/2402.08377
Autor:
Dinvay, Evgueni, Selberg, Sigmund
Considered herein is a particular nonlinear dispersive stochastic system consisting of Dirac and Klein-Gordon equations. They are coupled by nonlinear terms due to the Yukawa interaction. We consider a case of homogeneous multiplicative noise that se
Externí odkaz:
http://arxiv.org/abs/2305.00903
Autor:
Dinvay, Evgueni, Selberg, Sigmund
Publikováno v:
In Journal of Functional Analysis 15 October 2024 287(8)
Autor:
Dinvay, Evgueni, Memin, Etienne
We devise a stochastic Hamiltonian formulation of the water wave problem. This stochastic representation is built within the framework of the modelling under location uncertainty. Starting from restriction to the free surface of the general stochasti
Externí odkaz:
http://arxiv.org/abs/2201.07764
Autor:
Dinvay, Evgueni
Considered herein is a particular nonlinear dispersive stochastic equation. It was introduced recently in [3], as a model describing surface water waves under location uncertainty. The corresponding noise term is introduced through a Hamiltonian form
Externí odkaz:
http://arxiv.org/abs/2201.04085
Autor:
Dinvay, Evgueni
Considered herein are a number of variants of the Boussinesq type systems modeling surface water waves. Such equations were derived by different authors to describe the two-way propagation of long gravity waves. A question of existence of special sol
Externí odkaz:
http://arxiv.org/abs/2011.09543
Three weakly nonlinear but fully dispersive Whitham-Boussinesq systems for uneven bathymetry are studied. The derivation and discretization of one system is presented. The numerical solutions of all three are compared with wave gauge measurements fro
Externí odkaz:
http://arxiv.org/abs/2007.01909
Publikováno v:
Nonlinear Dynamics (2017), Vol. 88, pp. 1125-1138
The viability of the Whitham equation as a nonlocal model for capillary-gravity waves at the surface of an inviscid incompressible fluid is under study. A nonlocal Hamiltonian system of model equations is derived using the Hamiltonian structure of th
Externí odkaz:
http://arxiv.org/abs/2002.09946
Autor:
Dinvay, Evgueni
We regard the Cauchy problem for a particular Whitham-Boussinesq system modelling surface waves of an inviscid incompressible fluid layer. The system can be seen as a weak nonlocal dispersive perturbation of the shallow water system. The proof of wel
Externí odkaz:
http://arxiv.org/abs/1908.00055