Product formulas for solutions of initial value partial differential equations,I |
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| Authors: | Marc A Berger Alan D Sloan |
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| Affiliation: | Department of Theoretical Mathematics, The Weizmann Institute of Science, Rehovot 76100, Israel;School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332 U.S.A. |
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| Abstract: | Families of operators which approximate semi-groups or evolution systems generated by partial differential operators are constructed. Product formulas are used to recover these semi-groups or evolution systems through product integrals. Conditions on generators are provided under which its semi-group or evolution system can be approximated in this way by families of specific types of operators. |
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