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Computational Electrostatics for Biological Applications Geometric and Numer…
This book presents established and new approaches to perform calculations of electrostatic interactions at the nanoscale, with particular focus on molecular biology applications. It is based on the proceedings of the Computational Electrostatics for Biological Applications international meeting, which brought together researchers in computational disciplines to discuss and explore diverse metho…
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- 978-3-319-12211-3
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Computational Electromagnetism Cetraro, Italy 2014
Presenting topics that have not previously been contained in a single volume, this book offers an up-to-date review of computational methods in electromagnetism, with a focus on recent results in the numerical simulation of real-life electromagnetic problems and on theoretical results that are useful in devising and analyzing approximation algorithms. Based on four courses delivered in Cetraro …
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- 978-3-319-19306-9
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Asymptotic Expansion of a Partition Function Related to the Sinh-model
This book elaborates on the asymptotic behaviour, when N is large, of certain N-dimensional integrals which typically occur in random matrices, or in 1+1 dimensional quantum integrable models solvable by the quantum separation of variables. The introduction presents the underpinning motivations for this problem, a historical overview, and a summary of the strategy, which is applicable in greate…
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- 978-3-319-33379-3
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The Parabolic Anderson Model: Random Walk in Random Potential
This is a comprehensive survey on the research on the parabolic Anderson model – the heat equation with random potential or the random walk in random potential – of the years 1990 – 2015. The investigation of this model requires a combination of tools from probability (large deviations, extreme-value theory, e.g.) and analysis (spectral theory for the Laplace operator with potential, vari…
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- ISBN/ISSN
- 978-3-319-33596-4
- Collation
- XI, 192
- Series Title
- Pathways in Mathematics
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Asymptotic Approximations for the Sound Generated by Aerofoils in Unsteady Su…
This thesis investigates the sound generated by solid bodies in steady subsonic flows with unsteady perturbations, as is typically used when determining the noise generated by turbulent interactions. The focus is predominantly on modelling the sound generated by blades within an aircraft engine, and the solutions are presented as asymptotic approximations. Key analytical techniques, such as the…
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- 978-3-319-19959-7
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Zhang Functions and Various Models
This book focuses on solving different types of time-varying problems. It presents various Zhang dynamics (ZD) models by defining various Zhang functions (ZFs) in real and complex domains. It then provides theoretical analyses of such ZD models and illustrates their results. It also uses simulations to substantiate their efficacy and show the feasibility of the presented ZD approach (i.e., diff…
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- ISBN/ISSN
- 978-3-662-47334-4
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An Introduction to Continuous-Time Stochastic Processes: Theory, Models, and …
This textbook, now in its third edition, offers a rigorous and self-contained introduction to the theory of continuous-time stochastic processes, stochastic integrals, and stochastic differential equations. Expertly balancing theory and applications, the work features concrete examples of modeling real-world problems from biology, medicine, industrial applications, finance, and insurance using …
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- Ed. 1
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- 978-1-4939-2757-9
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- XVI, 482
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- Modeling and Simulation in Science, Engineering and Technology
- Call Number
- 519 CAP i
Writing Proofs in Analysis
This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard "transition" approach to teaching proofs, wherein students are taught fundamentals of logic, given some common proof strategies such as mathematical ind…
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- 978-3-319-30967-5
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Why Prove it Again? Alternative Proofs in Mathematical Practice
This monograph considers several well-known mathematical theorems and asks the question, “Why prove it again?” while examining alternative proofs. It explores the different rationales mathematicians may have for pursuing and presenting new proofs of previously established results, as well as how they judge whether two proofs of a given result are different. While a number of books have exam…
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- 978-3-319-17368-9
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- XI, 204
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Why More Is Different Philosophical Issues in Condensed Matter Physics and C…
The physics of condensed matter, in contrast to quantum physics or cosmology, is not traditionally associated with deep philosophical questions. However, as science - largely thanks to more powerful computers - becomes capable of analysing and modelling ever more complex many-body systems, basic questions of philosophical relevance arise. Questions about the emergence of structure, the nature o…
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- ISBN/ISSN
- 978-3-662-43911-1
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- X, 280
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