A TWELFTH-ORDER FOUR-STEP FORMULA FOR THE NUMERICAL INTEGRATION OF THE ONE-DIMENSIONAL SCHRÖDINGER EQUATION
2003 ◽
Vol 14
(08)
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pp. 1087-1105
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Keyword(s):
The One
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A new twelfth-order four-step formula containing fourth derivatives for the numerical integration of the one-dimensional Schrödinger equation has been developed. It was found that by adding multi-derivative terms, the stability of a linear multi-step method can be improved and the interval of periodicity of this new method is larger than that of the Numerov's method. The numerical test shows that the new method is superior to the previous lower orders in both accuracy and efficiency and it is specially applied to the problem when an increasing accuracy is requested.
1985 ◽
Vol 36
(2)
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pp. 113-119
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Keyword(s):
1993 ◽
Vol 6
(3)
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pp. 67-73
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Keyword(s):
A new variable step method for the numerical integration of the one-dimensional Schrödinger equation
1988 ◽
Vol 77
(2)
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pp. 501-512
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Keyword(s):
1972 ◽
Vol 29
(19)
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pp. 1350-1353
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Keyword(s):
1993 ◽
Vol 108
(1)
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pp. 175-179
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Keyword(s):
1980 ◽
Vol 100
(1)
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pp. 196-204
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Keyword(s):
Keyword(s):
1984 ◽
Vol 33
(4)
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pp. 299-304
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Keyword(s):