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trotterformula

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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High degree precision decomposition methodfor the evolution problem with an operator undera split form
Zurab Gegechkori, Jemal Rogava, Mikheil Tsiklauri
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 36 / Issue 4 / July 2002

Published online by Cambridge University Press:

15 September 2002, pp. 693-704

Print publication:

July 2002
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In the present work the symmetrized sequential-parallel decomposition methodof the third degree precision for the solution of Cauchy abstract problemwith an operator under a split form, is presented. The third degreeprecision is reached by introducing a complex coefficient with the positivereal part. For the considered schema the explicit a priori estimation isobtained.