Local structure-preserving algorithms for partial differential equations
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2008/08/26
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Indian UGC (journal)
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Refrences31
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Citations37
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YuShun Wang
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Bin Wang
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MengZhao Qin
Cite
Wang, YuShun, et al. “Local Structure-Preserving Algorithms for Partial Differential Equations”. Science in China Series A: Mathematics, vol. 51, no. 11, 2008, pp. 2115-36, https://doi.org/10.1007/s11425-008-0046-7.
Wang, Y., Wang, B., & Qin, M. (2008). Local structure-preserving algorithms for partial differential equations. Science in China Series A: Mathematics, 51(11), 2115-2136. https://doi.org/10.1007/s11425-008-0046-7
Wang, YuShun, Bin Wang, and MengZhao Qin. “Local Structure-Preserving Algorithms for Partial Differential Equations”. Science in China Series A: Mathematics 51, no. 11 (2008): 2115-36. https://doi.org/10.1007/s11425-008-0046-7.
Wang Y, Wang B, Qin M. Local structure-preserving algorithms for partial differential equations. Science in China Series A: Mathematics. 2008;51(11):2115-36.
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| 10.1088/0256-307X/24/2/003 | 2007 | |||
| Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients | Applied Numerical Mathematics |
| 59 | 2006 |
| Concatenating construction of the multisymplectic schemes for 2+1-dimensional sine-Gordon equation | Science in China Series A: Mathematics | 4 | 2004 | |
| 10.1143/JPSJ.72.2731 | Journal of the Physical Society of Japan |
| 2003 | |
On variations in discrete mechanics and field theory | Journal of Mathematical Physics |
| 23 | 2003 |
Refrences Analysis
The category
Science: Mathematics 13
is the most frequently represented among the references in this article. It primarily includes studies from Journal of Computational Mathematics and Journal of Computational Physics. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
An efficient linearly implicit and energy‐conservative scheme for two dimensional Klein–Gordon–Schrödinger equations | Numerical Methods for Partial Differential Equations |
| 1 | 2023 |
| Local Structure-Preserving Algorithms for the Klein-Gordon-Zakharov Equation | Acta Mathematica Scientia |
| 2023 | |
| Unconditional Convergence of Conservative Spectral Galerkin Methods for the Coupled Fractional Nonlinear Klein–Gordon–Schrödinger Equations | Journal of Scientific Computing |
| 4 | 2023 |
| The exponential invariant energy quadratization approach for general multi-symplectic Hamiltonian PDEs | Journal of Computational and Applied Mathematics |
| 2022 | |
Efficient linearized local energy-preserving method for the Kadomtsev-Petviashvili equation | Discrete and Continuous Dynamical Systems - B |
| 1 | 2022 |
Citations Analysis
The category
Science: Mathematics 30
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Local structure-preserving algorithms for the “good” Boussinesq equation and was published in 2013. The most recent citation comes from a 2023 study titled An efficient linearly implicit and energy‐conservative scheme for two dimensional Klein–Gordon–Schrödinger equations. This article reached its peak citation in 2017, with 9 citations. It has been cited in 20 different journals. Among related journals, the Applied Mathematics and Computation cited this research the most, with 5 citations. The chart below illustrates the annual citation trends for this article.