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Original Articles

A numerical method based on a bilinear pseudo-spectral method to solve the convection-diffusion optimal control problems

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Pages 28-46 | Received 23 Aug 2019, Accepted 26 Jan 2020, Published online: 10 Feb 2020

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Zhen Miao, Li Wang, Gao-yuan Cheng & Yao-lin Jiang. (2024) Model order reduction based on Laguerre orthogonal polynomials for parabolic equation constrained optimal control problems. International Journal of Computer Mathematics 101:3, pages 237-254.
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Articles from other publishers (7)

Yuchun Hua & Yuelong Tang. (2024) Error estimates of characteristic finite elements for bilinear convection–diffusion optimal control problems. Results in Applied Mathematics 22, pages 100445.
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Fereshteh Samadi, Aghileh Heydari & Sohrab Effati. (2022) Numerical solutions of two-dimensional PDE-constrained optimal control problems via bilinear pseudo-spectral method. Mathematical Sciences 18:1, pages 107-123.
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M. Khasi & J. Rashidinia. (2023) A Bilinear Pseudo-spectral Method for Solving Two-asset European and American Pricing Options. Computational Economics 63:2, pages 893-918.
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Manoochehr Khasi, Jalil Rashidinia & Mohammad Navaz Rasoulizadeh. (2023) Fast Computing Approaches Based on a Bilinear Pseudo-Spectral Method for Nonlinear Acoustic Wave Equations. SIAM Journal on Scientific Computing 45:4, pages B413-B439.
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Xiaowu Li & Yuelong Tang. (2023) Interpolated coefficient characteristic finite element method for semilinear convection–diffusion optimal control problems. Results in Applied Mathematics 17, pages 100357.
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Rong Huang & Zhifeng Weng. (2023) A numerical method based on barycentric interpolation collocation for nonlinear convection-diffusion optimal control problems. Networks and Heterogeneous Media 18:2, pages 562-580.
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Yuelong Tang & Yuchun Hua. (2022) A posteriori error estimates of characteristic mixed finite elements for convection-diffusion control problems . Open Mathematics 20:1, pages 629-645.
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