Stability results for linearly implicit fractional step discretizations of non-linear time dependent parabolic problems

2006 ◽  
Vol 56 (8) ◽  
pp. 1061-1076 ◽  
Author(s):  
B. Bujanda ◽  
J.C. Jorge
Keyword(s):  
Linear Time ◽  
Time Dependent ◽  
Parabolic Problems ◽  
Fractional Step ◽  
Non Linear ◽  
Stability Results

New features of non-linear time-dependent two-level atoms

2019 ◽  
Vol 105 ◽  
pp. 171-181
Author(s):  
Mehdi Akremi ◽  
S.T. Korashy ◽  
T.M. El-Shahat ◽  
R. Nekhili ◽  
Inamuddin ◽  
...  
Keyword(s):  
Linear Time ◽  
Time Dependent ◽  
Non Linear

scholarly journals DYNAMICS OF T=0 BCS CONDENSATES

1995 ◽  
Vol 09 (11) ◽  
pp. 1359-1373 ◽  
Author(s):  
MICHAEL STONE
Keyword(s):  
Fermi Surface ◽  
Order Parameter ◽  
Schrodinger Equation ◽  
Linear Time ◽  
Time Dependent ◽  
Pitaevskii Equation ◽  
Long Wavelength ◽  
Non Linear ◽  
Bose Superfluid ◽  
Galilean Invariant

Fermi-surface bosonization is used to show that the long-wavelength, T=0, dynamics of a BCS superfluid or superconductor is described by a galilean invariant non-linear time-dependent Schrödinger equation. This equation is of same form as the Gross-Pitaevskii equation for a Bose superfluid, but the “wavefunction” is not the superfluid order parameter.

2D Modelling of rockslide displacements by non-linear time dependent relationships

2018 ◽  
pp. 765-770
Author(s):  
M. De Caro ◽  
G.B. Crosta ◽  
R. Castellanza ◽  
F. Agliardi ◽  
G. Volpi ◽  
...  
Keyword(s):  
Linear Time ◽  
Time Dependent ◽  
2D Modelling ◽  
Non Linear

Analysis of Numerical Oscillation Problems in a Non Linear Time Dependent Mild Slope Model and First Developments for the Implementation of Wave Breaking

2008 ◽  
Author(s):  
Ana Catarina Zo´zimo ◽  
Conceic¸a˜o Fortes
Keyword(s):  
Energy Dissipation ◽  
Wave Breaking ◽  
Linear Time ◽  
Momentum Equation ◽  
Time Dependent ◽  
Theoretical Formulation ◽  
Dissipative Term ◽  
Mild Slope Equation ◽  
Non Linear ◽  
Work Done

In this paper, a description of the numerical model NMLSE is presented. This model solves the time dependent non linear mild slope equation, without including energy dissipation due to wave breaking [1]. Some modifications are made in the boundary conditions of the original version of the model in order to overcome the numerical oscillation problems detected in the work done by [2]. To evaluate the effectiveness of the new versions of the model, they are applied to test cases of the bibliography and to a bar-trough profile beach for which there are data from physical model tests. The basic theoretical formulation of a new momentum equation that includes energy dissipation due to wave breaking is also presented. The energy dissipation due to wave breaking is included through the addition of a dissipative term based in the eddy viscosity concept.

Sign in / Sign up

Export Citation Format

Share Document