[HTML][HTML] Analytically and numerically, dispersive, weakly nonlinear wave packets are presented in a quasi-monochromatic medium
This study applies computational and numerical techniques to develop some novel and
accurate solutions for Gross–Pitaevskii (GP) equations. A quantum system of identical …
accurate solutions for Gross–Pitaevskii (GP) equations. A quantum system of identical …
Numerical methods for atomic quantum gases with applications to Bose–Einstein condensates and to ultracold fermions
The achievement of Bose–Einstein condensation in ultra-cold vapours of alkali atoms has
given enormous impulse to the study of dilute atomic gases in condensed quantum states …
given enormous impulse to the study of dilute atomic gases in condensed quantum states …
[LIVRE][B] Spectral methods: algorithms, analysis and applications
Along with finite differences and finite elements, spectral methods are one of the three main
methodologies for solving partial differential equations on computers. This book provides a …
methodologies for solving partial differential equations on computers. This book provides a …
Mathematical theory and numerical methods for Bose-Einstein condensation
In this paper, we mainly review recent results on mathematical theory and numerical
methods for Bose-Einstein condensation (BEC), based on the Gross-Pitaevskii equation …
methods for Bose-Einstein condensation (BEC), based on the Gross-Pitaevskii equation …
Computational methods for the dynamics of the nonlinear Schrödinger/Gross–Pitaevskii equations
In this paper, we begin with the nonlinear Schrödinger/Gross–Pitaevskii equation
(NLSE/GPE) for modeling Bose–Einstein condensation (BEC) and nonlinear optics as well …
(NLSE/GPE) for modeling Bose–Einstein condensation (BEC) and nonlinear optics as well …
Finding Solutions of the Navier‐Stokes Equations through Quantum Computing—Recent Progress, a Generalization, and Next Steps Forward
F Gaitan - Advanced Quantum Technologies, 2021 - Wiley Online Library
Efficient simulation of a quantum system's dynamics is expected to be an important
application area for quantum computers as existing classical computers cannot do this …
application area for quantum computers as existing classical computers cannot do this …
Observation of a space-time crystal in a superfluid quantum gas
Time crystals are a phase of matter, for which the discrete time symmetry of the driving
Hamiltonian is spontaneously broken. The breaking of discrete time symmetry has been …
Hamiltonian is spontaneously broken. The breaking of discrete time symmetry has been …
Investigation of optical soliton solutions of higher-order nonlinear Schrödinger equation having Kudryashov nonlinear refractive index
Purpose: In this paper, optical solitons of higher-order nonlinear Schrödinger equation with
Kudryashov's sextic power-law of nonlinear refractive index are investigated via the direct …
Kudryashov's sextic power-law of nonlinear refractive index are investigated via the direct …
[LIVRE][B] Spectral and high-order methods with applications
T Tang - 2006 - math.purdue.edu
This book expands lecture notes by the authors for a course on Introduction of Spectral
Methods taught in the past few years at Penn State University, Simon Fraser University, the …
Methods taught in the past few years at Penn State University, Simon Fraser University, the …
[LIVRE][B] Computational optimization of systems governed by partial differential equations
This book provides an introduction to some modern computational techniques for
optimization problems governed by partial differential equations (PDEs). The optimization …
optimization problems governed by partial differential equations (PDEs). The optimization …