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2 results

The fourth order accuracy decomposition schemefor 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

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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 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

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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.

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2 results

The fourth order accuracy decomposition schemefor an evolution problem

High degree precision decomposition methodfor the evolution problem with an operator undera split form