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Direct and Inverse Sturm-Liouville Problems
A Method of Solution, Frontiers in Mathematics
ISBN/EAN: 9783030478483
Umbreit-Nr.: 9015870
Sprache:
Englisch
Umfang: xi, 154 S., 1 s/w Illustr., 27 farbige Illustr., 1
Format in cm:
Einband:
kartoniertes Buch
Erschienen am 29.07.2020
Auflage: 1/2021
€ 58,84
(inklusive MwSt.)
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- Kurztext
- This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals. A universal approach for practical solving of direct and inverse spectral and scattering problems is presented, based on the notion of transmutation (transformation) operators and their efficient construction. Analytical representations for solutions of Sturm-Liouville equations as well as for the integral kernels of the transmutation operators are derived in the form of functional series revealing interesting special features and lending themselves to direct and simple numerical solution of a wide variety of problems.The book is written for undergraduate and graduate students, as well as for mathematicians, physicists and engineers interested in direct and inverse spectral problems.