Embedded (4, 5) pairs of explicit 7-stage Runge-Kutta methods with FSAL property
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866912135184908288 |
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| author | Stepanov, Misha |
| author_facet | Stepanov, Misha |
| contents | The general case of embedded (4, 5) pairs of explicit 7-stage Runge--Kutta methods with FSAL property (a_7j = b_j, 1 <= j <= 7, c_7 = 1) is considered. Besides exceptional cases, the pairs form five 4-dimensional families. The pairs within two (already known) families satisfy the simplifying assumption sum_j a_ij c_j = c_i^2 / 2, i >= 3. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_12590 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Embedded (4, 5) pairs of explicit 7-stage Runge-Kutta methods with FSAL property Stepanov, Misha Numerical Analysis 65L05, 65L06 The general case of embedded (4, 5) pairs of explicit 7-stage Runge--Kutta methods with FSAL property (a_7j = b_j, 1 <= j <= 7, c_7 = 1) is considered. Besides exceptional cases, the pairs form five 4-dimensional families. The pairs within two (already known) families satisfy the simplifying assumption sum_j a_ij c_j = c_i^2 / 2, i >= 3. |
| title | Embedded (4, 5) pairs of explicit 7-stage Runge-Kutta methods with FSAL property |
| topic | Numerical Analysis 65L05, 65L06 |
| url | https://arxiv.org/abs/2108.12590 |