Communications in Mathematical Sciences

Volume 5 (2007)

Number 2

On stability of the Crank-Nicolson scheme with approximate transparent boundary conditions for the Schrödinger equation. Part II

Pages: 267 – 298



B. Ducomet

B. Ducomet

A. Zlotnik

A. Zlotnik


Stability; Crank-Nicolson finite-difference scheme; transparent boundary conditions; time-dependent Schrödinger equation; discrete convolution operator; Hardy spaces

2010 Mathematics Subject Classification

35Q40, 65M06, 65M12

Full Text (PDF format)