Uncertainty Quantification by Christian Soize
This book presents the fundamental notions and advanced mathematical tools in the stochastic modeling of uncertainties and their quantification for large-scale computational models in sciences and engineering. In particular, it focuses in parametric uncertainties, and non-parametric uncertainties with applications from the structural dynamics and vibroacoustics of complex mechanical systems, from micromechanics and multiscale mechanics of heterogeneous materials.Resulting from a course developed by the author, the book begins with a description of the fundamental mathematical tools of probability and statistics that are directly useful for uncertainty quantification. It proceeds with a well carried out description of some basic and advanced methods for constructing stochastic models of uncertainties, paying particular attention to the problem of calibrating and identifying a stochastic model of uncertainty when experimental data is available.
This book is intended to be a graduate-level textbook for students as well as professionals interested in the theory, computation, and applications of risk and prediction in science and engineering fields.
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Mathematical Biology
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Mathematical Physiology
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Computational Cell Biology
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Mathematical Biology II
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Mathematical Foundations of Neuroscience
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Data-driven Modelling and Scientific Machine Learning in Continuum Physics
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Mathematics of Epidemics on Networks
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Mathematical Oncology
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Mathematical Modeling of Unsteady Inviscid Flows
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Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation
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Mathematical Geoscience
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Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion
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Homogenization and Porous Media
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Geometric Optimal Control
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Modeling in Biopharmaceutics, Pharmacokinetics and Pharmacodynamics
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Stereology
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Geometric Design of Linkages
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Models of Calcium Signalling
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Killer Cell Dynamics
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Estimation and Control of Dynamical Systems
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
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The Mathematics Behind Biological Invasions
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Systems with Persistent Memory
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Morphological Models of Random Structures
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The Mathematics and Mechanics of Biological Growth
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Nonlinear Systems
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Optimal Control for Mathematical Models of Cancer Therapies
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Quantum Dynamics with Trajectories
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Practical Bifurcation and Stability Analysis
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Branching Processes in Biology
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Transport Modeling in Hydrogeochemical Systems
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Age Structured Epidemic Modeling
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Heterogeneous Materials
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The Geometry of Biological Time
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Nonlinear Dynamics in Physiology and Medicine
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Chaotic Transport in Dynamical Systems
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Mathematical Population Genetics 1
“The book under review serves as an excellent reference for the uncertainty analysis community… the author has included an extensive bibliography in the end of the book that will be very useful to the interested reader. … the book is an excellent reference for advanced users and practitioners of UQ and is strongly recommended.” (Tujin Sahai, Mathematical Reviews, September, 2018)
Christian Soize is professor at Universite Paris-Est Marne-la-Valee. His research interests include stochastic modeling of uncertainties in computational mechanics, their propagation and their quantification.
| SKU | Unavailable |
| ISBN 13 | 9783319853727 |
| ISBN 10 | 3319853724 |
| Title | Uncertainty Quantification |
| Author | Christian Soize |
| Series | Interdisciplinary Applied Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer International Publishing AG |
| Year published | 2018-07-25 |
| Number of pages | 329 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |