Placement of Observations for Variational Data Assimilation: Application to Burgers’ Equation and Seiche Phenomenon-Reference-Cited by-同舟云学术

Placement of Observations for Variational Data Assimilation: Application to Burgers’ Equation and Seiche Phenomenon

Published:2021-11-10 Issue: Volume: Page:259-275
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Container-title:Data Assimilation for Atmospheric, Oceanic and Hydrologic Applications (Vol. IV)
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Author:

Lewis John M.,Lakshmivarahan S.,Maryada S. K. R.

Publisher

Springer International Publishing

Link

https://link.springer.com/content/pdf/10.1007/978-3-030-77722-7_10

Reference7 articles.

1. Benton ER, Platzman GW (1972) A table of solutions of the one-dimensional Burgers’ equation. Q Appl Math 195–212

2. Burgers JM (1939) Mathematical examples illustrating relations occurring in the theory of turbulent fluid motion. Kon Ned Akad Wet Verh (Eerste Sectie) D1. XVII 2:1–53

3. Burgers JM (1975) Some memories of early work in fluid mechanics at the Technical University of Delft. Annu Rev Fluid Mech 7:1–11

4. Carrier GF, Pearson CE (1976) Partial differential equations (theory and technique). Academic Press, Cambridge, p 320

5. Lakshmivarahan S, Lewis JM, Hu J (2020a) On controlling the shape of the cost functional in dynamic data assimilation: guidelines for placement of observations and application to Saltzman’s model of convection. J Atmos Sci 77:2969–2989. http://0.0.0.10:1175/JAS-D-19-0329.1

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