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Advances in Computers and Information in Engineering Research, Volume 2

By
John G. Michopoulos
John G. Michopoulos
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Christiaan J.J. Paredis
Christiaan J.J. Paredis
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David W. Rosen
David W. Rosen
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Judy M. Vance
Judy M. Vance
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ISBN:
9780791862025
No. of Pages:
634
Publisher:
ASME
Publication date:
2021

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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