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These so-called metric graphs frequently occur in the context of quantum graphs, where they are studied together with a differential operator and coupling conditions at the vertices. The two central methods covered here are a Galerkin discretization with linear finite elements and a spectral Galerkin discretization with basis functions obtained from an eigenvalue problem on the metric graph. The solution of the latter eigenvalue problems, i.e., the computation of quantum graph spectra, is therefore an important aspect of the method, and is treated in depth. Further, a real-world application of metric graphs to the modeling of the human connectome (brain network) is included as a major motivation for the investigated problems. Aimed at researchers and graduate students with a practical interest in diffusion-type and eigenvalue problems on metric graphs, the book is largely self-contained; it provides the relevant background on metric (and quantum) graphs as well as the discussed numerical methods. Numerous detailed numerical examples are given, supplemented by the publicly available Julia package MeGraPDE.jl.  Free Download Numerical Methods for Least Squares Problem English | 2024 | ISBN: 1611977940 | 310 Pages | PDF (True) | 9 MB The method of least squares, discovered by Gauss in 1795, is a principal tool for reducing the influence of errors when fitting a mathematical model to given observations. Applications arise in a great number of areas in sciences and engineering. The increased use of automatic data capturing frequently leads to large-scale least squares problems. Such problems can be solved by using recent developments in preconditioned iterative methods and in sparse QR factorization.  Free Download Numerical Linear Algebra with Julia English | 2021 | ISBN: 1611976545 | 421 Pages | PDF | 21 MB Numerical Linear Algebra with Julia provides in-depth coverage of fundamental topics in numerical linear algebra, including how to solve dense and sparse linear systems, compute QR factorizations, compute the eigendecomposition of a matrix, and solve linear systems using iterative methods such as conjugate gradient. The style is friendly and approachable and cartoon characters guide the way.  Free Download Number Theory: An Elementary Introduction Through Diophantine Problems (Monographs in Number Theory) (Volume 4) English | 2010 | ISBN: 9814307459 | 348 Pages | PDF | 12 MB  Free Download Nourish & Wag: Homemade Dog Food Recipes for Healthy, Happy Dogs: Vet-Conscious Meal Plans & 25+ Balanced Homemade Dog Food Recipes for Nutrition, Allergies & Weight Management by Srividya S K English | September 6, 2025 | ISBN: N/A | ASIN: B0FQ3MSCX8 | 190 pages | EPUB | 1.44 Mb Nourish & Wag gives dog owners a practical, vet-conscious roadmap to feeding homemade dog food safely and confidently. Packed with easy-to-follow nutrition guidance, 25+ everyday recipes, special-care menus, and time-saving meal plans, this book transforms home cooking into balanced, affordable meals that support your dog's health and happiness.  Free Download Nothingness and the Infinite: Truth at the Edge of Thought (The Unified Wisdom Series) by Rajiv Singh English | August 1, 2025 | ISBN: N/A | ASIN: B0FKZDJYHH | 108 pages | EPUB | 2.44 Mb What if the deepest truths of the universe cannot be solved-but must be lived? What if consciousness is not a byproduct of evolution, but the foundation of reality itself? This book weaves together the fragments of modern science, postmodern philosophy, and ancient metaphysics into a single, unifying vision of truth, meaning, and existence. From quantum entanglement and the relativity of space-time to the illusion of the self and the birth of artificial minds, this book asks the fundamental questions that haunt both physicists and mystics:  Free Download Nonmonotonic Logic: Logics for Defeasible Reasoning by Christian Straßer English | 2025 | ISBN: 1009598465 | 136 Pages | True PDF | 1.92 MB  Free Download Nonlocal Quantum Computing Theory English | 2026 | ISBN: 103289265X | 119 Pages | PDF EPUB (True) | 15 MB Nonlocal Quantum Computing Theory offers a fresh perspective on quantum computing, moving beyond the traditional qubit-based approach to a physics-driven interpretation of computation. This book highlights the limitations and logical flaws in mainstream quantum computing theories and introduces a rule-based, nonlocal quantum computing framework. Covering general-purpose quantum computing, biological applications, and atomic chains in full superposition and entanglement, this book presents a bold new theoretical foundation for the field.  Free Download Nonlinear Dynamics, Chaos, Control, Energy Transfer and Their Applications in Engineering Sciences: DYCAELS 2023 by Jose Manoel Balthazar, Paulo Batista Gonçalves English | 2025 | ISBN: 3031844483 | 532 Pages | True ePUB | 122 MB |
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