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Spectral Functions in Mathematics and Physicsby Klaus Kirsten
CRC Press 2001; US$ 119.95Over the last several years, the author and his colleagues have developed new methods for the exact analysis of different spectral functions that are significant in physics. This text provides a comprehensive description of these techniques and their various applications. more...
Spectral Methods for Time-Dependent Problemsby Jan Hesthaven; Sigal Gottlieb; David Gottlieb
Cambridge University Press 2007; US$ 80.00Spectral methods are useful techniques for solving integral and partial differential equations, many of which appear in fluid mechanics and engineering problems. Based on a graduate course, these popular and efficient techniques are presented with both rigorous analysis and extensive coverage of their wide range of applications. more...
Spectral Analysis Of Differential Operatorsby Fedor S Rofe-Beketov; Aleksandr M Kholkin
World Scientific 2005; US$ 121.00This is the first monograph devoted to the Sturm oscillatory theory for infinite systems of differential equations and its relations with the spectral theory. It aims to study a theory of self-adjoint problems for such systems, based on an elegant method of binary relations. Another topic investigated in the book is the behavior of discrete eigenvalues which appear in spectral gaps of the Hill operator and almost periodic Schrödinger operators due to local perturbations of the potential (e.g., modeling impurities in crystals). The book is based on results that have not been presented in other monographs. The only prerequisites needed to read it are basics of ordinary differential equations and operator theory. It should be accessible to graduate... more...
Spectral Theory And Nonlinear Analysis With Applications To Spatial Ecologyby S. Cano-Casanova; J López-Gómez; C Mora-Corral
World Scientific 2005; US$ 124.00This volume details some of the latest advances in spectral theory and nonlinear analysis through various cutting-edge theories on algebraic multiplicities, global bifurcation theory, non-linear Schrödinger equations, non-linear boundary value problems, large solutions, metasolutions, dynamical systems, and applications to spatial ecology. The main scope of the book is bringing together a series of topics that have evolved separately during the last decades around the common denominator of spectral theory and nonlinear analysis ? from the most abstract developments up to the most concrete applications to population dynamics and socio-biology ? in an effort to fill the existing gaps between these fields. more...
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