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Uncertainty Quantification in Multiscale Materials Modeling provides a complete overview of uncertainty quantification (UQ) in computational materials science. It provides practical tools and methods along with examples of their application to problems in materials modeling. UQ methods are applied to various multiscale models ranging from the nanoscale to macroscale. This book presents a thorough synthesis of the state-of-the-art in UQ methods for materials modeling, including Bayesian inference, surrogate modeling, random fields, interval analysis, and sensitivity analysis, providing insight into the unique characteristics of models framed at each scale, as well as common issues in modeling across scales.
Synthesizes available UQ methods for materials modeling Provides practical tools and examples for problem solving in modeling material behavior across various length scales Demonstrates UQ in density functional theory, molecular dynamics, kinetic Monte Carlo, phase field, finite element method, multiscale modeling, and to support decision making in materials design Covers quantum, atomistic, mesoscale, and engineering structure-level modeling and simulationCarbon Based Nanomaterials for Advanced Thermal and Electrochemical Energy Storage and Conversion
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Carbon Based Nanomaterials for Advanced Thermal and Electrochemical Energy Storage and Conversion presents a comprehensive overview of recent theoretical and experimental developments and prospects on carbon-based nanomaterials for thermal, solar and electrochemical energy conversion, along with their storage applications for both laboratory and industrial perspectives. Large growth in human populations has led to seminal growth in global energy consumption, hence fossil fuel usage has increased, as have unwanted greenhouse gases, including carbon dioxide, which results in critical environmental concerns. This book discusses this growing problem, aligning carbon nanomaterials as a solution because of their structural diversity and electronic, thermal and mechanical properties.
Provides an overview on state-of-the-art carbon nanomaterials and key requirements for applications of carbon materials towards efficient energy storage and conversion Presents an updated and comprehensive review of recent work and the theoretical aspects on electrochemistry Includes discussions on the industrial production of carbon-based materials for energy applications, along with insights from industrial experts2 812 kr
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Fundamentals of Uncertainty Quantification for Engineers: Methods and Models provides a comprehensive introduction to uncertainty quantification (UQ) accompanied by a wide variety of applied examples and implementation details to reinforce the concepts outlined in the book. Sections start with an introduction to the history of probability theory and an overview of recent developments of UQ methods in the domains of applied mathematics and data science. Major concepts of copula, Monte Carlo sampling, Markov chain Monte Carlo, polynomial regression, Gaussian process regression, polynomial chaos expansion, stochastic collocation, Bayesian inference, modelform uncertainty, multi-fidelity modeling, model validation, local and global sensitivity analyses, linear and nonlinear dimensionality reduction are included. Advanced UQ methods are also introduced, including stochastic processes, stochastic differential equations, random fields, fractional stochastic differential equations, hidden Markov model, linear Gaussian state space model, as well as non-probabilistic methods such as robust Bayesian analysis, Dempster-Shafer theory, imprecise probability, and interval probability. The book also includes example applications in multiscale modeling, reliability, fatigue, materials design, machine learning, and decision making.
Introduces all major topics of uncertainty quantification with engineering examples and implementation detailsFeatures examples from a wide variety of science and engineering disciplines (e.g., fluids, structural dynamics, materials, manufacturing, multiscale simulation)Discusses sampling methods, surrogate modeling, stochastic expansion, sensitivity analysis, dimensionality reduction and more1 039 kr
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Ultraprecise Inter-satellite Laser Ranging, Clock Synchronization and Novel Gravitational Wave Data Analysis Algorithms
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