| Description |
1 online resource (vii, 230 pages) : illustrations. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Inverse and ill-posed problems series,
1381-4524
|
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Inverse and ill-posed problems series.
1381-4524
|
| Bibliography |
Includes bibliographical references (pages 221-230). |
| Contents |
2.2. The form of solution of the direct problem applied for solution of the inverse problems2.3. The setting and solution of the inverse problems -- Chapter 3. Inverse problems of scattering plane waves from inhomogeneous transition layers (half-space) -- 3.1. The direct problem -- 3.2. Determination of properties of inhomogeneous layer by the forms of incident and reflected waves given for a single angle Î?0 |
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3.3. The method of recovery of the density and the speed in the inhomogeneous layer as the functions of the depth given the set of plane waves reflected from the layer at various angles3.4. The algorithm of numerical solution of the inverse problem 3.3 (determination of v(z) and Ï?(z) by the forms Ï?1{Î?, Î?0) of incident and reflected waves for three angles Î?0) -- 3.5. Derivation of the speed v(z) and the density Ï?(z) in the numerical experiments -- Chapter 4. Inverse problems for finite string with the condition of directional derivative in one end |
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4.1. Formulation of the direct problem4.2. Solution of the direct problem -- 4.3. The inverse problem with the data in the free end of the string -- 4.4. The inverse problem with the data set in the boundary z = 0 -- 4.5. Inverse problems for the string with the fixed end z = H -- Chapter 5. Inverse problems for the elliptic equation in the strip -- 5.1. Setting of the direct problem -- 5.2. Solution of the direct problem -- 5.3. The inverse problem with the data in the boundary z = H -- 5.4. The inverse problem with the data in the boundary z = 0 |
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5.5. Problems with the condition u(H, Î?)=0Chapter 6. Inverse problems of scattering the plane waves from inhomogeneous layers with a free or fixed boundary -- 6.1. The direct problem -- 6.2. Determination of properties of the inhomogeneous layer given the data for a single angle of incidence -- 6.3. Determination of the depth of inhomogeneous layer, the density Ï?(z) and the speed v(z) in this layer if the form of incident wave Ï?0(Î?, Î?0) is known is known |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Differential equations, Partial -- Numerical solutions.
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Differential equations, Partial -- Numerical solutions. |
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Inverse problems (Differential equations) -- Numerical solutions.
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Inverse problems (Differential equations) -- Numerical solutions. |
| Genre/Form |
Electronic books.
|
| Other Form: |
Print version: Megrabov, A.G. Forward and inverse problems for hyperbolic, elliptic, and mixed type equations 9067643793 (DLC) 2003276076 (OCoLC)52105960 |
| ISBN |
9783110944983 (electronic book) |
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3110944987 (electronic book) |
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9067643793 |
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9789067643795 |
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