Convergence of exponential Lawson-multistep methods for the MCTDHF equations
2019 ◽
Vol 53
(6)
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pp. 2109-2119
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Keyword(s):
We consider exponential Lawson multistep methods for the time integration of the equations of motion associated with the multi-configuration time-dependent Hartree–Fock (MCTDHF) approximation for high-dimensional quantum dynamics. These provide high-order approximations at a minimum of evaluations of the computationally expensive nonlocal potential terms, and have been found to enable stable long-time integration. In this work, we prove convergence of the numerical approximation on finite time intervals under minimal regularity assumptions on the exact solution. A numerical illustration shows adaptive time propagation based on our methods.
2003 ◽
Vol 14
(08)
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pp. 1061-1074
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Keyword(s):
Keyword(s):
2022 ◽
Vol ahead-of-print
(ahead-of-print)
◽
1982 ◽
pp. 67-91
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1994 ◽
Vol 114
(2)
◽
pp. 265-279
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Keyword(s):