solutions, this work presents a systematic elaboration of the theory of inverse problems for all principal types of partial differential equations. It covers up-to-date methods of linear and nonlinear analysis, the theory of differential equations in Banach spaces, applications of functional analys.....
A. Abdukarimov, “The determination of a harmonic function in a circle from data prescribed on two radii,” in: Uniqueness, Stability and Methods of Solution of Inverse and Ill-Posed Problems [in Russian], Novosibirsk (1980), pp. 6–11. G. G. Abdullaeva, “The A. N. Tikhonov regulari...
Inverse scattering problems are one of the main research areas in the optimization techniques. The main purpose of inverse scattering problems is to detect the physical properties of an obstacle from some information related to the scattered waves of the obstacle for given incident wave. Generally, ...
AH Olson - 《Physics of the Earth & Planetary Interiors》 被引量: 50发表: 1987年 CONVERGENCE OF INNER-ITERATION GMRES METHODS FOR RANK-DEFICIENT LEAST SQUARES PROBLEMS. We develop a general convergence theory for the generalized minimal residual method preconditioned by inner iterations for solving ...
Thebookcoversmanydirectionsinthemoderntheoryofinverseandill- posedproblems—mathematicalphysics,optimalinversedesign,inversescat- tering,inversevibration,biomedicalimaging,oceanography,seismicimaging andremotesensing;methodsincludingstandardregularization,parallelcom- putingformultidimensionalproblems,Nyströmmethod,numerical...
Yagle,E Andrew - 《Journal of Mathematical Physics》 被引量: 38发表: 1986年 Computational methods for some inverse scattering problems In this article we consider inverse scattering problems for the Schrdinger equation and Zakharov–Shabat system on R. A technique of splitting the problem ... P...
Deviations from Brownian motion leading to anomalous diffusion are found in transport dynamics from quantum physics to life sciences. The characterization of anomalous diffusion from the measurement of an individual trajectory is a challenging task, whic
Grating coupler inverse design via fast integral methods Inverse design is a computational technique that enables the automated design of photonic devices. Starting from an initial guess (which is typically selected randomly, as we do in this paper, but which could otherwise be chosen on the basis...
N. Kh. Ibragimov, Transformation Groups in Mathematical Physics [in Russian], Nauka, Moscow (1983). Google Scholar N. Kh. Ibragimov and A. B. Shabat, “Korteweg-de Vries equation from a group point of view”, Dokl. Akad. Nauk SSSR,244, No. 1, 57–61 (1979). Google Scholar V...
Constitutive models have been developed since the beginning of the 19th century and are still under constant development. Besides physics-motivated and phenomenological models, during the last decades, the field of constitutive modeling was enriched by the development of machine learning-based constitutive...