Have a look at :: https://users.mai.liu.se/vlama82/pdf/Problems2018l_0312.pdf
https://www.newton.ac.uk/event/cpd Article Practical Problems in the Numerical Solution of PDE's in Finance
There are many points, You can search it
In a conference
https://waset.org/numerical-analysis-conferences.
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The following book has many idea
https://courses.maths.ox.ac.uk/node/44065
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This new books
https://bookauthority.org/books/new-numerical-analysis-ebooks
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Also,
https://www.cs.bgu.ac.il/~na201/Main.
All links contain many good new idea.
with best wishes
The applications of numerical analysis is the new trend, for example
[Applied and Numerical Harmonic Analysis] New Trends in Applied Harmonic Analysis || Stylometry and Mathematical Study of Authorship
Aldroubi, Akram, Cabrelli, Carlos, Jaffard, Stephane, Molter, UrsulaYear:2016
Experimental and Numerical Analysis of Steel-Block Shear Connectors in Assembled Monolithic Steel–Concrete Composite Beams
Wang, Yu-Hang, Yu, Jie, Liu, Jiepeng, Chen, Y. FrankJournal:Journal of Bridge EngineeringYear:2019
Dear please see the paper entitled, FIXED POINTS OF OPERATORS SATISFYING PROPERTY (E) AS CONCERNS NUMERICAL ANALYSIS AND VISULAIZATION
Currently, the deep learning approach for numerical solutions of fractional differential equations is a hot topic. You can search related work.
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