High resolution finite volume scheme for the quantum hydrodynamic equations
From MaRDI portal
Publication:1005412
DOI10.1016/j.jcp.2008.11.007zbMath1409.76152OpenAlexW2001120802MaRDI QIDQ1005412
Jia-Yi Yeh, Jiun-Yeu Chen, Chin-Tien Lin
Publication date: 9 March 2009
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2008.11.007
Finite volume methods applied to problems in fluid mechanics (76M12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Statistical mechanics of superfluids (82D50) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)
Related Items (4)
On a posteriori estimation of the approximation error norm for an ensemble of independent solutions ⋮ On a posteriori error estimation using distances between numerical solutions and angles between truncation errors ⋮ Estimation of the distance between true and numerical solutions ⋮ The estimation of approximation error using inverse problem and a set of numerical solutions
Cites Work
- Unnamed Item
- Upwind finite-volume method with a triangular mesh for conservation laws
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Multivariate radial basis interpolation for solving quantum fluid dynamical equations
- Trajectory method for the time-dependent Schrödinger and Thomas-Fermi equations
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- Total variation diminishing Runge-Kutta schemes
- Quantum fluid mechanical and electronic structure of a hydrogen-like atom
- A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
- Proof That Probability Density Approaches<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mo>|</mml:mo><mml:mi>ψ</mml:mi><mml:mo>|</mml:mo></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>in Causal Interpretation of the Quantum Theory
This page was built for publication: High resolution finite volume scheme for the quantum hydrodynamic equations
