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Spectral Geometry of Graphs
This open access book gives a systematic introduction into the spectral theory of differential operators on metric graphs. Main focus is on the fundamental relations between the spectrum and the geometry of the underlying graph. The book has two central themes: the trace formula and inverse problems. The trace formula is relating the spectrum to the set of periodic orbits and is compara…
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- ISBN/ISSN
- 978-3-662-67872-5
- Collation
- XVI, 639
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- -
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Variational Analysis and Aerospace Engineering Mathematical Challenges for t…
This book presents papers surrounding the extensive discussions that took place from the ‘Variational Analysis and Aerospace Engineering’ workshop held at the Ettore Majorana Foundation and Centre for Scientific Culture in 2015. Contributions to this volume focus on advanced mathematical methods in aerospace engineering and industrial engineering such as computational fluid dynamics metho…
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- ISBN/ISSN
- 978-3-319-45680-5
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Unpublished Manuscripts
This book presents, for the first time, the unpublished manuscripts of Lars Hörmander, written between 1951 and 2007. Hörmander himself organised the manuscripts and also wrote the notes explaining their origins, presenting the material in the form he fully intended it to be published in. As his daughter, Sofia Broström, mentions in the Foreword, towards the end of his life, Hörmander "care…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-69850-2
- Collation
- Mathematics
- Series Title
- -
- Call Number
- 510
https://link.springer.com/10.1007/978-3-319-26266-
This book presents in depth asymptotic methods for solving parabolic partial differential equations at the level suitable for non-mathematicians The focus is on the stochastic description Although this book is intended for advanced undergraduate or beginning graduate students, it should also provide a useful reference for professional physicists, applied mathematicians as well as quant…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-26265-9
- Collation
- XIX, 390
- Series Title
- Springer Briefs in Earth Sciences
- Call Number
- 510
Harmonic and Geometric Analysis
This book contains an expanded version of lectures delivered by the authors at the CRM in Spring of 2009. It contains four series of lectures. The first one is an application of harmonic analysis and the Heisenberg group to understand human vision. The second and third series of lectures cover some of the main topics on linear and multilinear harmonic analysis. The last one is a clear introduct…
- Edition
- 1
- ISBN/ISSN
- 978-3-0348-0407-3
- Collation
- IX, 170
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- -
- Call Number
- 510 CIT h
Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for Non…
This first volume is concerned with the analytic derivation of explicit formulas for the leading-order Taylor approximations of (local) stochastic invariant manifolds associated with a broad class of nonlinear stochastic partial differential equations. These approximations take the form of Lyapunov-Perron integrals, which are further characterized in Volume II as pullback limits associated wit…
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- Ed. 1
- ISBN/ISSN
- 978-3-319-12496-4
- Collation
- XV, 127
- Series Title
- SpringerBriefs in Mathematics
- Call Number
- 519 CHE a
Global Well-posedness and Asymptotic Behavior of the Solutions to Non-classic…
This book presents recent findings on the global existence, the uniqueness and the large-time behavior of global solutions of thermo(vis)coelastic systems and related models arising in physics, mechanics and materials science such as thermoviscoelastic systems, thermoelastic systems of types II and III, as well as Timoshenko-type systems with past history. Part of the book is based on the resea…
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- ISBN/ISSN
- 978-3-658-06863-9
- Collation
- XII, 200
- Series Title
- -
- Call Number
- 510 QIN g
Boundary Value Problems, Weyl Functions, and Differential Operators
This open access book presents a comprehensive survey of modern operator techniques for boundary value problems and spectral theory, employing abstract boundary mappings and Weyl functions. It includes self-contained treatments of the extension theory of symmetric operators and relations, spectral characterizations of selfadjoint operators in terms of the analytic properties of Weyl functions, …
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Trends in Differential Equations and Applications
This work collects the most important results presented at the Congress on Differential Equations and Applications/Congress on Applied Mathematics (CEDYA/CMA) in Cádiz (Spain) in 2015. It supports further research in differential equations, numerical analysis, mechanics, control and optimization. In particular, it helps readers gain an overview of specific problems of interest in the current m…
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- ISBN/ISSN
- 978-3-319-32013-7
- Collation
- -
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Topics in Numerical Partial Differential Equations and Scientific Computing
Numerical partial differential equations (PDEs) are an important part of numerical simulation, the third component of the modern methodology for science and engineering, besides the traditional theory and experiment. This volume contains papers that originated with the collaborative research of the teams that participated in the IMA Workshop for Women in Applied Mathematics: Numerical Partial …
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- ISBN/ISSN
- 978-1-4939-6399-7
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- -
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