TY - BOOK UR - http://lib.ugent.be/catalog/ebk01:3710000001072437 ID - ebk01:3710000001072437 ET - 3rd ed. 2017. LA - eng TI - Inverse Problems for Partial Differential Equations PY - 2017 SN - 9783319516585 AU - Isakov, Victor. author. AB - Inverse Problems -- Ill-Posed Problems and Regularization -- Uniqueness and Stability in the Cauchy Problem -- Elliptic Equations: Single Boundary Measurements -- Elliptic Equations: Many Boundary Measurements -- Scattering Problems and Stationary Waves -- Integral Geometry and Tomography -- Hyperbolic Problems -- Inverse Parabolic Problems -- Some Numerical Methods -- Appendix: Functional Spaces. AB - This third edition expands upon the earlier edition by adding nearly 40 pages of new material reflecting the analytical and numerical progress in inverse problems in last 10 years. As in the second edition, the emphasis is on new ideas and methods rather than technical improvements. These new ideas include use of the stationary phase method in the two-dimensional elliptic problems and of multi frequencies\temporal data to improve stability and numerical resolution. There are also numerous corrections and improvements of the exposition throughout. This book is intended for mathematicians working with partial differential equations and their applications, physicists, geophysicists, and financial, electrical, and mechanical engineers involved with nondestructive evaluation, seismic exploration, remote sensing, and various kinds of tomography. Review of the second edition: "The first edition of this excellent book appeared in 1998 and became a standard reference for everyone interested in analysis and numerics of inverse problems in partial differential equations. … The second edition is considerably expanded and reflects important recent developments in the field … . Some of the research problems from the first edition have been solved … ." (Johannes Elschner, Zentralblatt MATH, Vol. 1092 (18), 2006). ER -Download RIS file
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100 | 1 | a Isakov, Victor. e author. | |
245 | 1 | a Inverse Problems for Partial Differential Equations h [electronic resource] / c by Victor Isakov. | |
250 | a 3rd ed. 2017. | ||
264 | 1 | a Cham : b Springer International Publishing : b Imprint: Springer, c 2017. | |
300 | a XV, 406 p. 4 illus. b online resource. | ||
336 | a text b txt 2 rdacontent | ||
337 | a computer b c 2 rdamedia | ||
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347 | a text file b PDF 2 rda | ||
490 | 1 | a Applied Mathematical Sciences, x 0066-5452 ; v 127 | |
505 | a Inverse Problems -- Ill-Posed Problems and Regularization -- Uniqueness and Stability in the Cauchy Problem -- Elliptic Equations: Single Boundary Measurements -- Elliptic Equations: Many Boundary Measurements -- Scattering Problems and Stationary Waves -- Integral Geometry and Tomography -- Hyperbolic Problems -- Inverse Parabolic Problems -- Some Numerical Methods -- Appendix: Functional Spaces. | ||
520 | a This third edition expands upon the earlier edition by adding nearly 40 pages of new material reflecting the analytical and numerical progress in inverse problems in last 10 years. As in the second edition, the emphasis is on new ideas and methods rather than technical improvements. These new ideas include use of the stationary phase method in the two-dimensional elliptic problems and of multi frequencies\temporal data to improve stability and numerical resolution. There are also numerous corrections and improvements of the exposition throughout. This book is intended for mathematicians working with partial differential equations and their applications, physicists, geophysicists, and financial, electrical, and mechanical engineers involved with nondestructive evaluation, seismic exploration, remote sensing, and various kinds of tomography. Review of the second edition: "The first edition of this excellent book appeared in 1998 and became a standard reference for everyone interested in analysis and numerics of inverse problems in partial differential equations. … The second edition is considerably expanded and reflects important recent developments in the field … . Some of the research problems from the first edition have been solved … ." (Johannes Elschner, Zentralblatt MATH, Vol. 1092 (18), 2006). | ||
650 | a Mathematics. | ||
650 | a Remote sensing. | ||
650 | a Partial differential equations. | ||
650 | a Computer mathematics. | ||
650 | a Physics. | ||
650 | 1 | 4 | a Mathematics. |
650 | 2 | 4 | a Partial Differential Equations. |
650 | 2 | 4 | a Computational Mathematics and Numerical Analysis. |
650 | 2 | 4 | a Theoretical, Mathematical and Computational Physics. |
650 | 2 | 4 | a Remote Sensing/Photogrammetry. |
710 | 2 | a SpringerLink (Online service) | |
773 | t Springer eBooks | ||
776 | 8 | i Printed edition: z 9783319516578 | |
830 | a Applied Mathematical Sciences, x 0066-5452 ; v 127 | ||
856 | 4 | u http://dx.doi.org/10.1007/978-3-319-51658-5 | |
912 | a ZDB-2-SMA | ||
950 | a Mathematics and Statistics (Springer-11649) |
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