Modified Energy for Split-Step Methods Applied to the Linear Schrödinger Equation
نویسندگان
چکیده
منابع مشابه
Modified Energy for Split-Step Methods Applied to the Linear Schrödinger Equation
We consider the linear Schrödinger equation and its discretization by splitstep methods where the part corresponding to the Laplace operator is approximated by the midpoint rule. We show that the numerical solution coincides with the exact solution of a modified partial differential equation at each time step. This shows the existence of a modified energy preserved by the numerical scheme. This...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2009
ISSN: 0036-1429,1095-7170
DOI: 10.1137/080744578