Structure of positive decompositions of exponential operators
نویسندگان
چکیده
منابع مشابه
Structure of positive decompositions of exponential operators.
The solution of many physical evolution equations can be expressed as an exponential of two or more operators acting on initial data. Accurate solutions can be systematically derived by decomposing the exponential in a product form. For time-reversible equations, such as the Hamilton or the Schrödinger equation, it is immaterial whether or not the decomposition coefficients are positive. In fac...
متن کاملPositive Decompositions of Exponential Operators
The solution of many physical evolution equations can be expressed as an exponential of two or more operators. Approximate solutions can be systematically derived by decomposing the exponential in a product form. For time-reversible equations, such as the Hamilton or the Schrödinger equation, it is immaterial whether the decomposition coefficients are positive or negative. For timeirreversible ...
متن کاملThe Structure of Positive Decompositions of Exponential Operators
The solution of many physical evolution equations can be expressed as an exponential of two or more operators acting on initial data. Accurate solutions can be systematically derived by decomposing the exponential in a product form. For time-reversible equations, such as the Hamilton or the Schrödinger equation, it is immaterial whether or not the decomposition coefficients are positive. In fac...
متن کاملComment on "Structure of positive decompositions of exponential operators".
An elementary proof is shown on the necessary existence of negative coefficients in splitting methods of order p > or = 3.
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2005
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.71.016703