TY - GEN
T1 - Consistent Discrete-Analytical Schemes for the Solution of the Inverse Source Problems for Atmospheric Chemistry Models with Image-Type Measurement Data
AU - Penenko, Alexey
AU - Penenko, Vladimir
AU - Tsvetova, Elena
AU - Mukatova, Zhadyra
N1 - Publisher Copyright:
© 2019, Springer Nature Switzerland AG.
PY - 2019/1/1
Y1 - 2019/1/1
N2 - The inverse source problems for nonlinear chemical transport models with image-type measurement data are considered. The use of the sensitivity operators, constructed of the ensemble of adjoint problem solutions, allows transforming the inverse problems stated as the systems of nonlinear ODE or PDE to a family of operator equations depending on the given set of functions in the space of measurement results. In the paper, the set of consistent discrete analytical schemes for 1D diffusion-reaction model is presented. The operator equations are solved with the relevant methods for nonlinear operator equations.
AB - The inverse source problems for nonlinear chemical transport models with image-type measurement data are considered. The use of the sensitivity operators, constructed of the ensemble of adjoint problem solutions, allows transforming the inverse problems stated as the systems of nonlinear ODE or PDE to a family of operator equations depending on the given set of functions in the space of measurement results. In the paper, the set of consistent discrete analytical schemes for 1D diffusion-reaction model is presented. The operator equations are solved with the relevant methods for nonlinear operator equations.
UR - http://www.scopus.com/inward/record.url?scp=85066136559&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-11539-5_43
DO - 10.1007/978-3-030-11539-5_43
M3 - Conference contribution
AN - SCOPUS:85066136559
SN - 9783030115388
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 378
EP - 386
BT - Finite Difference Methods. Theory and Applications - 7th International Conference, FDM 2018, Revised Selected Papers
A2 - Faragó, István
A2 - Dimov, Ivan
A2 - Vulkov, Lubin
PB - Springer-Verlag GmbH and Co. KG
T2 - 7th International Conference on Finite Difference Methods, FDM 2018
Y2 - 11 June 2018 through 16 June 2018
ER -