Explicit exponentially fitted methods for the numerical solution of the Schrödinger equation

DOI10.1016/S0096-3003(97)10163-1zbMath0934.65085OpenAlexW2064740958MaRDI QIDQ1294332

Theodore E. Simos

Publication date: 25 April 2000

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(97)10163-1

zbMATH Keywords

Schrödinger equationresonance problemsingular eigenvalue problemssemi-infinite intervalsexponentially fitted shooting method

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (7)

Arbitrarily precise numerical solutions of the one-dimensional Schrödinger equation ⋮ Numerical solution of singular ODE eigenvalue problems in electronic structure computations ⋮ Exponentially fitted methods for solving time fractional nonlinear reaction-diffusion equation ⋮ A discrete eigenfunctions method for computing mixed hyperbolic problems based on an implicit difference scheme ⋮ A family of trigonometrically fitted partitioned Runge-Kutta symplectic methods ⋮ On the efficiency of Newton and Broyden numerical methods in the investigation of the regular polygon problem of (\(N + 1\)) bodies ⋮ A variable mesh C-SPLAGE method of accuracy \(O(k^2h_l^{-1}+kh_l+h_l^3)\) for 1D nonlinear parabolic equations

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