Taylor-Series Expansion Based Numerical Methods: A Primer, Performance Benchmarking and New Approaches for Problems with Non-smooth Solutions

Author:

Jacquemin Thibault,Tomar Satyendra,Agathos Konstantinos,Mohseni-Mofidi Shoya,Bordas Stéphane P. A.ORCID

Funder

European Research Council Starting Independent Research Grant

Luxembourg National Research Fund

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Reference116 articles.

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2. Ritz W (1908) Über eine neue methode zur lösung gewisser variationsprobleme der mathematischen physik. Journal für die Reine und Angewandte Mathematik 135:1–61

3. Galerkin BG (1915) Rods and plates. series occurring in various questions concerning the elastic equilibrium of rods and plates. Vestnik Inzh 19:897–908

4. Monaghan JJ (1992) Smoothed particle hydrodynamics. Ann Rev Astron Astrophys 30(1):543–574

5. Belytschko T, Lu YY, Gu L (1994) Element-free galerkin methods. Int J Numer Method Eng 37(2):229–256

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