Solving Linear Partial Differential Equations by Exponential Splitting
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date1989/01/01
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Indian UGC (journal)
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Citations104
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Q. SHENG
Cite
SHENG, Q. “Solving Linear Partial Differential Equations by Exponential Splitting”. IMA Journal of Numerical Analysis, vol. 9, no. 2, 1989, pp. 199-12, https://doi.org/10.1093/imanum/9.2.199.
SHENG, Q. (1989). Solving Linear Partial Differential Equations by Exponential Splitting. IMA Journal of Numerical Analysis, 9(2), 199-212. https://doi.org/10.1093/imanum/9.2.199
SHENG Q. Solving Linear Partial Differential Equations by Exponential Splitting. IMA Journal of Numerical Analysis. 1989;9(2):199-212.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
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Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Generalisation of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type | Computer Physics Communications |
| 2024 | |
| An endeavor from the Glowinski-Le Tallec splitting for approximating the solution of Kawarada equation | Journal of Mathematical Analysis and Applications |
| 2024 | |
BIFROST: simulating compact subsystems in star clusters using a hierarchical fourth-order forward symplectic integrator code | Monthly Notices of the Royal Astronomical Society |
| 4 | 2023 |
| High order integrators obtained by linear combinations of symmetric-conjugate compositions | Applied Mathematics and Computation |
| 1 | 2022 |
| Qualitative property preservation of high-order operator splitting for the SIR model | Applied Numerical Mathematics |
| 5 | 2022 |
Citations Analysis
The category
Science: Mathematics 62
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled On higher‐order asymptotic factorization of non‐linear operators and was published in 1990. The most recent citation comes from a 2024 study titled An endeavor from the Glowinski-Le Tallec splitting for approximating the solution of Kawarada equation. This article reached its peak citation in 2005, with 12 citations. It has been cited in 59 different journals, 10% of which are open access. Among related journals, the Physical Review E cited this research the most, with 8 citations. The chart below illustrates the annual citation trends for this article.