## On a new class of additive (splitting) operator-difference schemes

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- by Petr N. Vabishchevich PDF
- Math. Comp.
**81**(2012), 267-276 Request permission

## Abstract:

Many applied time-dependent problems are characterized by an additive representation of the problem operator. Additive schemes are constructed using such a splitting and are associated with the transition to a new time level on the basis of the solution of more simple problems for the individual operators in the additive decomposition. We consider a new class of additive schemes for problems with additive representation of the operator at the time derivative. In this paper we construct and study the vector operator-difference schemes, which are characterized by a transition from the single initial evolution equation to a system of evolution equations.## References

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## Additional Information

**Petr N. Vabishchevich**- Affiliation: Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 4 Miusskaya Sq., 125047 Moscow, Russia
- Email: vabishchevich@gmail.com
- Received by editor(s): May 12, 2010
- Received by editor(s) in revised form: September 7, 2010
- Published electronically: June 20, 2011
- © Copyright 2011
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp.
**81**(2012), 267-276 - MSC (2010): Primary 65M06, 65M12
- DOI: https://doi.org/10.1090/S0025-5718-2011-02492-0
- MathSciNet review: 2833495