A Parallel High-accuracy Method for the First-order Evolution Equation in Hilbert and Banach Spaces
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| 024 | 7 | 0 | |a 10.2478/cmam-2003-0008 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0008 | ||
| 245 | 0 | 2 | |a A Parallel High-accuracy Method for the First-order Evolution Equation in Hilbert and Banach Spaces |h [Elektronische Daten] |
| 520 | 3 | |a We have developed a discretization method of an arbitrarily given order of accuracy with respect to the time discretization parameter for the first-order evolution differential equation in Banach space. The method includes two levels of parallelism: the operator exponential needed for the calculation of the evolution operator can be computed in parallel (inner parallelism) and then we can compute in parallel the evolution operator at various points of the time mesh (outer parallelism). | |
| 540 | |a This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. | ||
| 690 | 7 | |a first-order evolution equation |2 nationallicence | |
| 690 | 7 | |a Hilbert and Banach spaces |2 nationallicence | |
| 690 | 7 | |a evolution operator |2 nationallicence | |
| 690 | 7 | |a error analysis |2 nationallicence | |
| 690 | 7 | |a parallel high-accuracy method |2 nationallicence | |
| 690 | 7 | |a stability estimates |2 nationallicence | |
| 690 | 7 | |a strongly P-positive operator |2 nationallicence | |
| 700 | 1 | |a Garvrilyuk |D Ivan P. |u Berufsakademie Thüringen, Staatliche Studienakademie, Am Wartenberg 2, 99817 Eisenach, Germany. | |
| 700 | 1 | |a Makarov |D Vladimir L. |u Institute of Mathematics, National Academy of Sciences, 3 Tereschenkivska Str, 01601 Kiev, Ukraine. | |
| 700 | 1 | |a Ryabichev |D Vyacheslav L. |u National Taras Shevchenko University of Kyiv, Institute of Journalism, 36/1 Melnikova Str, 254119 Kiev-119, Ukraine. | |
| 773 | 0 | |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/1(2003), 86-115 |x 1609-4840 |q 3:1<86 |1 2003 |2 3 |o cmam | |
| 856 | 4 | 0 | |u https://doi.org/10.2478/cmam-2003-0008 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.2478/cmam-2003-0008 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Garvrilyuk |D Ivan P. |u Berufsakademie Thüringen, Staatliche Studienakademie, Am Wartenberg 2, 99817 Eisenach, Germany | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Makarov |D Vladimir L. |u Institute of Mathematics, National Academy of Sciences, 3 Tereschenkivska Str, 01601 Kiev, Ukraine | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Ryabichev |D Vyacheslav L. |u National Taras Shevchenko University of Kyiv, Institute of Journalism, 36/1 Melnikova Str, 254119 Kiev-119, Ukraine | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/1(2003), 86-115 |x 1609-4840 |q 3:1<86 |1 2003 |2 3 |o cmam | ||
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