An improved finite integration method for nonlocal nonlinear Schrödinger equations
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Publication:2122627
DOI10.1016/j.camwa.2022.03.004zbMath1504.65234OpenAlexW4220705163MaRDI QIDQ2122627
Publication date: 7 April 2022
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2022.03.004
PDE methodnonlocal nonlinear Schrödinger equationoperator-splitting methodimproved finite integration method
NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
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Cites Work
- Well-posedness for nonlinear Schrödinger equations with boundary forces in low dimensions by Strichartz estimates
- On the computation of ground state and dynamics of Schrödinger-Poisson-Slater system
- Soliton solutions of the nonlinear Schrödinger equation with nonlocal Coulomb and Yukawa interactions
- Bilinear Strichartz estimates for Schrödinger operators in two-dimensional compact manifolds with boundary and cubic NLS.
- Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT
- Sobolev error estimates and a Bernstein inequality for scattered data interpolation via radial basis functions
- Well-posedness for the nonlocal nonlinear Schrödinger equation
- Local well-posedness for the Cauchy problem of the quadratic Schrödinger equation with nonlinearity \(\overline{u}^2\)
- Derivation of the Schrödinger-Poisson equation from the quantum \(N\)-body problem
- Finite integration method for partial differential equations
- Finite integration method for solving multi-dimensional partial differential equations
- A Fast Solver for a Nonlocal Dielectric Continuum Model
- Structure of a quantized vortex in boson systems
- PDE Methods for Nonlocal Models
- On the Construction and Comparison of Difference Schemes
- Spiral Waves in Nonlocal Equations
- Scattered Data Approximation
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