A note on the basis set approach in the constrained interpolation profile method
DOI10.1016/j.jcp.2003.10.019zbMath1056.65101OpenAlexW2067548430MaRDI QIDQ598369
Youichi Ogata, Eiichi Matsunaga, Takayuki Aoki, Takashi Yabe, Masatoshi Sekine, James Koga, Takayuki Utsumi
Publication date: 6 August 2004
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2003.10.019
convergencenumerical examplesDirichlet boundary conditionsNeumann boundary conditionsCIP methodBasis setCIP-BS methodconstrained interpolation profile methodGeneralized eigenvalue equationTime-dependent Schrödinger equation
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs in connection with quantum mechanics (35Q40) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
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Cites Work
- Cubic interpolated pseudo-particle method (CIP) for solving hyperbolic- type equations
- Practical quantum mechanics. Translated from the German.
- A universal solver for hyperbolic equations by cubic-polynomial interpolation. I: One-dimensional solver
- A universal solver for hyperbolic equations by cubic-polynomial interpolation. II: Two- and three-dimensional solvers
- Radial basis function interpolation in the quantum trajectory method: optimization of the multi-quadric shape parameter.
- An efficient Chebyshev-Lanczos method for obtaining eigensolutions of the Schrödinger equation on a grid
- The constrained interpolation profile method for multiphase analysis.
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