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Advances in Computers and Information in Engineering Research, Volume 2Available to Purchase
ISBN:
9780791862025
No. of Pages:
634
Publisher:
ASME
Publication date:
2021
eBook Chapter
2. Peridynamics for Numerical Analysis Available to Purchase
By
Erdogan Madenci
,
Erdogan Madenci
Department of Aerospace and Mechanical Engineering, University of Arizona, Tucson, AZ, USA
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Mehmet Dorduncu
,
Mehmet Dorduncu
Department of Aerospace and Mechanical Engineering, University of Arizona, Tucson, AZ, USA
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Atila Barut
Atila Barut
Department of Aerospace and Mechanical Engineering, University of Arizona, Tucson, AZ, USA
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Page Count:
22
-
Published:2021
Citation
Madenci, E, Dorduncu, M, & Barut, A. "Peridynamics for Numerical Analysis." Advances in Computers and Information in Engineering Research, Volume 2. Ed. Michopoulos, JG, Paredis, CJ, Rosen, DW, & Vance, JM. ASME, 2021.
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Discrete data analysis and numerical solutions to boundary and initial value problems of ordinary/partial differential equations are essential in almost every branch of science. Although the differentiation process is usually more direct than integration in analytical mathematics, the reverse is true in computational mathematics, especially in the presence of a jump discontinuity or a singularity. Integration is a nonlocal process because it depends on the entire range of integration. However, differentiation is a local process.
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