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math.NA2012
Non Periodic Trigonometric Polynomial Approximation
Hillel Tal-Ezer
The suitable basis functions for approximating periodic function are periodic, trigonometric functions. When the function is not periodic, a viable alternative is to consider polyn…
quant-ph2012★ 17 cited
New, Highly Accurate Propagator for the Linear and Nonlinear Schrödinger Equation
Hillel Tal-Ezer, Ronnie Kosloff, Ido Schaefer
A propagation method for the time dependent Schrödinger equation was studied leading to a general scheme of solving ode type equations. Standard space discretization of time-depend…