Galerkin analysis for Schrödinger equation by wavelets

DOI10.1063/1.1643541zbMath1070.65142OpenAlexW1984407921MaRDI QIDQ4833332

Dao-Qing Dai, Bin Han, Rong-Qing Jia

Publication date: 15 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2195d3b22c92bcf296458d1fee9da3ce04ccb00f

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Numerical methods for wavelets (65T60) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (3)

Computing eigenelements of Sturm-Liouville problems by using Daubechies wavelets ⋮ Orthonormal polynomial wavelets on the interval ⋮ Construction of orthonormal wavelet-like bases

Cites Work

• Wavelet approximation methods for pseudodifferential equations. I: Stability and convergence
• Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution
• Wavelets and orthogonal polynomials based on harmonic oscillator eigenstates
• Fast wavelet transforms and numerical algorithms I
• Wavelet Methods for Fast Resolution of Elliptic Problems
• Error estimation of Hermite spectral method for nonlinear partial differential equations
• Formal improvements in the solution of the wavelet-transformed Poisson and diffusion equations
• Wavelet methods for PDEs -- some recent developments
• Bessel wavelets and the Galerkin analysis of the Bessel operator

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