Convergence of a Low-Rank Strang Splitting for Stiff Matrix Differential Equations
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866917256801288192 |
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| author | Scalone, Carmen Guglielmi, Nicola |
| author_facet | Scalone, Carmen Guglielmi, Nicola |
| contents | We propose and analyze a second-order Strang splitting method for a class of stiff matrix differential equations with Sylvester-type structure. The method splits the dynamics into a stiff linear part, treated exactly via matrix exponentials, and a nonlinear part, integrated by a second-order dynamical low-rank (DLR) scheme. Our main contribution is a rigorous convergence proof showing that, under suitable assumptions, the overall scheme achieves second-order accuracy. Numerical experiments confirm the theoretical results and demonstrate the robustness and efficiency of the proposed method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_07437 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Convergence of a Low-Rank Strang Splitting for Stiff Matrix Differential Equations Scalone, Carmen Guglielmi, Nicola Numerical Analysis We propose and analyze a second-order Strang splitting method for a class of stiff matrix differential equations with Sylvester-type structure. The method splits the dynamics into a stiff linear part, treated exactly via matrix exponentials, and a nonlinear part, integrated by a second-order dynamical low-rank (DLR) scheme. Our main contribution is a rigorous convergence proof showing that, under suitable assumptions, the overall scheme achieves second-order accuracy. Numerical experiments confirm the theoretical results and demonstrate the robustness and efficiency of the proposed method. |
| title | Convergence of a Low-Rank Strang Splitting for Stiff Matrix Differential Equations |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2602.07437 |