Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 87, 2010 - Issue 14
Submit an article Journal homepage
160
Views
15
CrossRef citations to date
0
Altmetric
Section B

A truncated Legendre spectral method for solving numerical differentiation

Zhenyu Zhao Department of Mathematics and Information, College of Science, Guangdong Ocean University, Zhanjiang, 524088, ChinaCorrespondence[email protected]
Pages 3209-3217 | Received 24 Dec 2008, Accepted 10 Apr 2009, Published online: 20 Aug 2010

Citations (15)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (2)

Zehong Meng, Zhenyu Zhao, Duan Mei & Yongxiong Zhou. (2020) Numerical differentiation for two-dimensional functions by a Fourier extension method. Inverse Problems in Science and Engineering 28:1, pages 126-143.
Read now
A. Smirnova, A. Bakushinsky & L. DeCamp. (2015) On application of asymptotic generalized discrepancy principle to the analysis of epidemiology models. Applicable Analysis 94:4, pages 672-693.
Read now

Articles from other publishers (13)

S.G. Solodky & S.A. Stasyuk. (2024) The minimal radius of Galerkin information for the problem of numerical differentiation. Journal of Complexity 81, pages 101787.
Crossref
Evgeniya V. Semenova & Sergiy G. Solodky. (2024) An Optimal Method for High-Order Mixed Derivatives of Bivariate Functions. Computational Methods in Applied Mathematics 0:0.
Crossref
Yu. I. Hrytsiuk & R. B. Tushnytskyi. (2023) Numerical differentiation of table-given functions at arbitrarily located interpolation nodes. Ukrainian Journal of Information Technology 5:1, pages 25-41.
Crossref
Ю. І. Грицюк & В. І. Гавриш. (2022) Чисельне диференціювання періодичних таблично-заданих функцій з використанням многочлена Фур'є. Scientific Bulletin of UNFU SBUNFU 32:5, pages 69-79.
Crossref
S. G. Solodky & S. A. Stasyuk. (2022) Optimization of the Methods of Numerical Differentiation for Bivariate Functions. Ukrainian Mathematical Journal 74:2, pages 289-313.
Crossref
S. A. Stasyuk & S. G. Solodky. (2022) Про оптимізацію методів чисельного диференціювання функцій двох змінних. Ukrains’kyi Matematychnyi Zhurnal 74:2, pages 253-273.
Crossref
Benxue Gong, Zhenyu Zhao, Tiao Bian & Yingmei Wang. (2022) Numerical differentiation for two-dimensional scattered data on arbitrary domain base on Hermite extension with an implicit iteration process. AIMS Mathematics 7:4, pages 5991-6015.
Crossref
Y. V. Semenova & S. G. Solodky. (2022) OPTIMAL METHODS FOR RECOVERING MIXED DERIVATIVES OF NON-PERIODIC FUNCTIONS. Journal of Numerical and Applied Mathematics:2, pages 143-150.
Crossref
Zhenyu Zhao & Lei You. (2021) A numerical differentiation method based on legendre expansion with super order Tikhonov regularization. Applied Mathematics and Computation 393, pages 125811.
Crossref
Zhenyu Zhao. (2021) A Hermite extension method for numerical differentiation. Applied Numerical Mathematics 159, pages 46-60.
Crossref
Fengbo Zhang, Yuandan Zheng, Zhenyu Zhao & Zhi Li. (2019) A New Method for De-Noising of Well Test Pressure Data Base on Legendre Approximation. Mathematics 7:10, pages 989.
Crossref
Baoqin Chen, Zhenyu Zhao, Zhi Li & Zehong Meng. (2018) Numerical differentiation by a Fourier extension method with super-order regularization. Applied Mathematics and Computation 334, pages 1-10.
Crossref
Hrushikesh N. Mhaskar, V. Naumova & S.V. Pereverzyev. (2013) Filtered Legendre expansion method for numerical differentiation at the boundary point with application to blood glucose predictions. Applied Mathematics and Computation 224, pages 835-847.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.