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On the efficiency of some A-stable methods
The numerical solution of systems of differential equations of the form B dx/dt= sigma (t)A x(t)+f(t), x(0) given, where B and A (with B and Re(-A) positive definite) are supposed to be large sparse matrices, are considered. A-stable methods like the Implicit Runge-Kutta methods based on Radau quadr...
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| Lenguaje: | eng |
| Publicado: |
1973
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| Acceso en línea: | http://cds.cern.ch/record/1050924 |
| _version_ | 1780912881328455680 |
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| author | Axelsson, O |
| author_facet | Axelsson, O |
| author_sort | Axelsson, O |
| collection | CERN |
| description | The numerical solution of systems of differential equations of the form B dx/dt= sigma (t)A x(t)+f(t), x(0) given, where B and A (with B and Re(-A) positive definite) are supposed to be large sparse matrices, are considered. A-stable methods like the Implicit Runge-Kutta methods based on Radau quadrature and the semi-implicit method of Rosenbrock (n =< 3) are combined with iterative methods for the solution of the algebraic systems of equations. |
| id | cern-1050924 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 1973 |
| record_format | invenio |
| spelling | cern-10509242019-09-30T06:29:59Zhttp://cds.cern.ch/record/1050924engAxelsson, OOn the efficiency of some A-stable methodsComputing and ComputersThe numerical solution of systems of differential equations of the form B dx/dt= sigma (t)A x(t)+f(t), x(0) given, where B and A (with B and Re(-A) positive definite) are supposed to be large sparse matrices, are considered. A-stable methods like the Implicit Runge-Kutta methods based on Radau quadrature and the semi-implicit method of Rosenbrock (n =< 3) are combined with iterative methods for the solution of the algebraic systems of equations.CERN-DD-73-32oai:cds.cern.ch:10509241973-11-01 |
| spellingShingle | Computing and Computers Axelsson, O On the efficiency of some A-stable methods |
| title | On the efficiency of some A-stable methods |
| title_full | On the efficiency of some A-stable methods |
| title_fullStr | On the efficiency of some A-stable methods |
| title_full_unstemmed | On the efficiency of some A-stable methods |
| title_short | On the efficiency of some A-stable methods |
| title_sort | on the efficiency of some a-stable methods |
| topic | Computing and Computers |
| url | http://cds.cern.ch/record/1050924 |
| work_keys_str_mv | AT axelssono ontheefficiencyofsomeastablemethods |