Parallel multiple shooting for the solution of initial value problems:
Abstract: "The computing time for the numerical solution of initial-value problems y'(x) = f(x, Y), y(x₀) = y₀, is closely related to the number of evaluations of f. In general this number can only be reduced slightly on parallel computers, even if simultaneous evaluations of f are counted...
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
München
1993
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| Series: | Technische Universität <München>: TUM-MATH
9309 |
| Subjects: | |
| Summary: | Abstract: "The computing time for the numerical solution of initial-value problems y'(x) = f(x, Y), y(x₀) = y₀, is closely related to the number of evaluations of f. In general this number can only be reduced slightly on parallel computers, even if simultaneous evaluations of f are counted as one evaluation. For special problems, however, it is possible to construct special methods which show a remarkable speed-up close to 100 on parallel computers. Multiple shooting, a method for boundary-value problems with an inherent parallelism, can also be applied efficiently to linear initial-value problems and to non-linear initial- value problems if good approximations are available." |
| Physical Description: | 20 S. graph. Darst. |
Staff View
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| 520 | 3 | |a Abstract: "The computing time for the numerical solution of initial-value problems y'(x) = f(x, Y), y(x₀) = y₀, is closely related to the number of evaluations of f. In general this number can only be reduced slightly on parallel computers, even if simultaneous evaluations of f are counted as one evaluation. For special problems, however, it is possible to construct special methods which show a remarkable speed-up close to 100 on parallel computers. Multiple shooting, a method for boundary-value problems with an inherent parallelism, can also be applied efficiently to linear initial-value problems and to non-linear initial- value problems if good approximations are available." | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Differential equations | |
| 650 | 4 | |a Initial value problems | |
| 650 | 4 | |a Parallel processing (Electronic computers) | |
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| id | DE-604.BV009298133 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:34:33Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006187389 |
| oclc_num | 34523892 |
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| owner_facet | DE-12 DE-19 DE-BY-UBM DE-91G DE-BY-TUM |
| physical | 20 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| record_format | marc |
| series | Technische Universität <München>: TUM-MATH |
| series2 | Technische Universität <München>: TUM-MATH |
| spelling | Kiehl, Martin Verfasser (DE-588)13095733X aut Parallel multiple shooting for the solution of initial value problems M. Kiehl. TUM, Mathematisches Institut ; Technische Universität München München 1993 20 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Technische Universität <München>: TUM-MATH 9309 Abstract: "The computing time for the numerical solution of initial-value problems y'(x) = f(x, Y), y(x₀) = y₀, is closely related to the number of evaluations of f. In general this number can only be reduced slightly on parallel computers, even if simultaneous evaluations of f are counted as one evaluation. For special problems, however, it is possible to construct special methods which show a remarkable speed-up close to 100 on parallel computers. Multiple shooting, a method for boundary-value problems with an inherent parallelism, can also be applied efficiently to linear initial-value problems and to non-linear initial- value problems if good approximations are available." Boundary value problems Differential equations Initial value problems Parallel processing (Electronic computers) Technische Universität <München>: TUM-MATH 9309 (DE-604)BV006186461 9309 |
| spellingShingle | Kiehl, Martin Parallel multiple shooting for the solution of initial value problems Technische Universität <München>: TUM-MATH Boundary value problems Differential equations Initial value problems Parallel processing (Electronic computers) |
| title | Parallel multiple shooting for the solution of initial value problems |
| title_auth | Parallel multiple shooting for the solution of initial value problems |
| title_exact_search | Parallel multiple shooting for the solution of initial value problems |
| title_full | Parallel multiple shooting for the solution of initial value problems M. Kiehl. TUM, Mathematisches Institut ; Technische Universität München |
| title_fullStr | Parallel multiple shooting for the solution of initial value problems M. Kiehl. TUM, Mathematisches Institut ; Technische Universität München |
| title_full_unstemmed | Parallel multiple shooting for the solution of initial value problems M. Kiehl. TUM, Mathematisches Institut ; Technische Universität München |
| title_short | Parallel multiple shooting for the solution of initial value problems |
| title_sort | parallel multiple shooting for the solution of initial value problems |
| topic | Boundary value problems Differential equations Initial value problems Parallel processing (Electronic computers) |
| topic_facet | Boundary value problems Differential equations Initial value problems Parallel processing (Electronic computers) |
| volume_link | (DE-604)BV006186461 |
| work_keys_str_mv | AT kiehlmartin parallelmultipleshootingforthesolutionofinitialvalueproblems |