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Knjige v angleščini > Mathematics & Science > Mathematics > Calculus & mathematical analysis > Differential calculus & equations > Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations

Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations

Name: Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations
Brand: De Gruyter
SKU: 05190875
Price: 222.66 EUR
Availability: InStock
Author: A.G. Megrabov
ISBN: 9789067643795

A.G. Megrabov

Jezik

Angleščina

Knjiga Trda

Koda Libristo: 05190875

Založba De Gruyter, november 2002

Inverse problems are an important and rapidly developing direction in mathematics,mathematical physi... Celoten opis

Koda Libristo: 05190875

538 b

222.66 €

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Inverse problems are an important and rapidly developing direction in mathematics,mathematical physics, differential equations, and various applied technologies (geophysics, optic, tomography, remote sensing, radar-location, etc.). In this monographdirect and inverse problems for partial differential equations are considered. The type of equations focusedare hyperbolic, elliptic, and mixed (elliptic-hyperbolic). The direct problems arise as generalizations of problems of scattering plane elastic or acoustic waves from inhomogeneous layer (or from half-space). The inverse problems are those of determination ofmedium parameters by giving the forms of incident and reflected waves or the vibrations of certain points of the medium. The method of researchof all inverse problems is spectral-analytical, consisting in reducing the considered inverse problems to the known inverse problems for the Sturm-Liouville equation or the string equation. Besides the book considers discrete inverse problems. In these problems an arbitrary set of point sources (emissive sources, oscillators, point masses) is determined.