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2 results

The fourth order accuracy decomposition scheme for an evolution problem
Zurab Gegechkori, Jemal Rogava, Mikheil Tsiklauri
Journal: ESAIM: Mathematical Modelling and Numerical Analysis / Volume 38 / Issue 4 / July 2004
Published online by Cambridge University Press: 15 August 2004, pp. 707-722
Print publication: July 2004
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In the present work, the symmetrized sequential-parallel decomposition method with the fourth order accuracy for the solution of Cauchy abstract problem with an operator under a split form is presented. The fourth order accuracy is reached by introducing a complex coefficient with the positive real part. For the considered scheme, the explicit a priori estimate is obtained.

High degree precision decomposition method for the evolution problem with an operator under a 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 method of the third degree precision for the solution of Cauchy abstract problem with an operator under a split form, is presented. The third degree precision is reached by introducing a complex coefficient with the positive real part. For the considered schema the explicit a priori estimation is obtained.