Fast direct solver for CN-ADI-FV scheme to two-dimensional Riesz space-fractional diffusion equations
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DOI: 10.1016/j.amc.2021.126033
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- Raberto, Marco & Scalas, Enrico & Mainardi, Francesco, 2002.
"Waiting-times and returns in high-frequency financial data: an empirical study,"
Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 749-755.
- M. Raberto & E. Scalas & F. Mainardi, 2002. "Waiting-times and returns in high-frequency financial data: an empirical study," Papers cond-mat/0203596, arXiv.org.
- Marco Raberto & Enrico Scalas & Francesco Mainardi, 2004. "Waiting-times and returns in high-frequency financial data: an empirical study," Finance 0411014, University Library of Munich, Germany.
- Feng, L.B. & Zhuang, P. & Liu, F. & Turner, I., 2015. "Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 52-65.
- Zhao, Yanmin & Bu, Weiping & Huang, Jianfei & Liu, Da-Yan & Tang, Yifa, 2015. "Finite element method for two-dimensional space-fractional advection–dispersion equations," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 553-565.
- Xing, Zhiyong & Wen, Liping, 2019. "Numerical analysis and fast implementation of a fourth-order difference scheme for two-dimensional space-fractional diffusion equations," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 155-166.
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- Yang, Hong & Lao, Cheng-Xue & She, Zi-Hang, 2023. "Fast solution methods for Riesz space fractional diffusion equations with non-separable coefficients," Applied Mathematics and Computation, Elsevier, vol. 445(C).
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- Guglielmo D'Amico & Filippo Petroni, 2020. "A micro-to-macro approach to returns, volumes and waiting times," Papers 2007.06262, arXiv.org.
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Keywords
Two dimensional Riesz space-fractional diffusion equations; Finite volume method; Alternating direction implicit method; Gohberg-Semencul formula; Strang’s circulant preconditioner; Preconditioned conjugate gradient method;All these keywords.
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