From finite differences to finite elements A short history of numerical analysis of partial differential equations

Numerical Analysis: Historical Developments in the 20th Century ◽

10.1016/b978-0-444-50617-7.50016-1 ◽

2001 ◽

pp. 361-414 ◽

Author(s):

Vidar Thomée

Keyword(s):

Numerical Analysis ◽

Partial Differential Equations ◽

Finite Elements ◽

Differential Equations ◽

Finite Differences ◽

Short History ◽

Partial Differential ◽

History Of Numerical Analysis

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From finite differences to finite elements A short history of numerical analysis of partial differential equations

Partial Differential Equations ◽

10.1016/b978-0-444-50616-0.50004-x ◽

2001 ◽

pp. 1-54

Author(s):

Vidar Thomée

Keyword(s):

Numerical Analysis ◽

Partial Differential Equations ◽

Finite Elements ◽

Differential Equations ◽

Finite Differences ◽

Short History ◽

Partial Differential ◽

History Of Numerical Analysis

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A general framework for the numerical analysis of high-order finite difference solvers for nonlinear multi-term time-space fractional partial differential equations with time delay

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.06.010 ◽

2021 ◽

Author(s):

Ahmed S. Hendy ◽

Mahmoud A. Zaky ◽

Rob H. De Staelen

Keyword(s):

Numerical Analysis ◽

Partial Differential Equations ◽

Finite Difference ◽

Differential Equations ◽

General Framework ◽

Fractional Partial Differential Equations ◽

Partial Differential ◽

High Order Finite Difference

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Numerical Analysis of Bifurcation Problems for Partial Differential Equations

Bifurcation Theory, Mechanics and Physics ◽

10.1007/978-94-009-7192-9_12 ◽

1983 ◽

pp. 209-223

Author(s):

Jacques Rappaz

Keyword(s):

Numerical Analysis ◽

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Bifurcation Problems

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The Early History of Partial Differential Equations and of Partial Differentiation and Integration

American Mathematical Monthly ◽

10.1080/00029890.1928.11986877 ◽

1928 ◽

Vol 35 (9) ◽

pp. 459-467 ◽

Author(s):

Florian Cajori

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Early History ◽

Partial Differential ◽

Partial Differentiation ◽

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Neural networks catching up with finite differences in solving partial differential equations in higher dimensions

Neural Computing and Applications ◽

10.1007/s00521-020-04743-8 ◽

2020 ◽

Vol 32 (17) ◽

pp. 13425-13440 ◽

Author(s):

Vsevolod I. Avrutskiy

Keyword(s):

Neural Networks ◽

Partial Differential Equations ◽

Differential Equations ◽

Finite Differences ◽

Higher Dimensions ◽

Partial Differential ◽

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Finite Elements for Partial Differential Equations

Springer Undergraduate Mathematics Series - Numerical Methods for Partial Differential Equations ◽

10.1007/978-1-4471-0377-6_6 ◽

2000 ◽

pp. 165-206 ◽

Author(s):

Gwynne A. Evans ◽

Jonathan M. Blackledge ◽

Peter D. Yardley

Keyword(s):

Partial Differential Equations ◽

Finite Elements ◽

Differential Equations ◽

Partial Differential

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Numerical Analysis of Nonlinear Partial Differential Equations by Fourier Spectral Method

PROCEEDINGS OF HYDRAULIC ENGINEERING ◽

10.2208/prohe.37.757 ◽

1993 ◽

Vol 37 ◽

pp. 757-761

Author(s):

Yukio KONO ◽

Fumihiko IMAMURA

Keyword(s):

Numerical Analysis ◽

Partial Differential Equations ◽

Differential Equations ◽

Spectral Method ◽

Nonlinear Partial Differential Equations ◽

Fourier Spectral Method ◽

Partial Differential

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Advances in Numerical Analysis, Vol. I: Nonlinear Partial Differential Equations and Dynamical Systems.

Mathematics of Computation ◽

10.2307/2153128 ◽

1993 ◽

Vol 60 (202) ◽

pp. 849

Author(s):

V. T. ◽

Will Light

Keyword(s):

Numerical Analysis ◽

Partial Differential Equations ◽

Dynamical Systems ◽

Differential Equations ◽

Nonlinear Partial Differential Equations ◽

Partial Differential

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Numerical analysis of some time-fractional partial differential equations for noise removal

International Journal of Dynamical Systems and Differential Equations ◽

10.1504/ijdsde.2018.089104 ◽

2018 ◽

Vol 8 (1/2) ◽

pp. 136

Author(s):

Moulay Rchid Sidi Ammi ◽

Ismail Jamiai

Keyword(s):

Numerical Analysis ◽

Partial Differential Equations ◽

Differential Equations ◽

Noise Removal ◽

Fractional Partial Differential Equations ◽

Partial Differential

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Numerical Analysis and Partial Differential Equations. Volume V. Surveys in Applied Mathematics.

American Mathematical Monthly ◽

10.2307/2309728 ◽

1960 ◽

Vol 67 (3) ◽

pp. 306

Author(s):

Lawrence A. Weller ◽

George E. Forsythe ◽

Paul C. Rosenbloom

Keyword(s):

Numerical Analysis ◽

Partial Differential Equations ◽

Differential Equations ◽

Applied Mathematics ◽

Partial Differential

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