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In this work, the Uncertainty Quantification (UQ) approaches combined systematically to analyze and identify systems. The generalized Polynomial Chaos (gPC) expansion is applied to reduce the computational effort. The framework using gPC based on Bayesian UQ proposed in this work is capable of analyzing the system systematically and reducing the disagreement between the model predictions and the measurements of the real processes to fulfill user defined performance criteria.

ParameterschätzungUncertainty Quantification --- Parameter estimation --- verteilt-parametrische Systeme --- Sensitivity Analysis --- generalized polynomial chaos --- Distributed Parameter Systems --- Sensitivitätsanalyse --- Unsicherheit Quantifizierung

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“Computational Mathematics, Algorithms, and Data Processing” of MDPI consists of articles on new mathematical tools and numerical methods for computational problems. Topics covered include: numerical stability, interpolation, approximation, complexity, numerical linear algebra, differential equations (ordinary, partial), optimization, integral equations, systems of nonlinear equations, compression or distillation, and active learning.

Research & information: general --- Mathematics & science --- interpolation --- constraints --- embedded constraints --- generalized multiscale finite element method --- multiscale model reduction --- deep learning --- Deep Neural Nets --- ReLU Networks --- Approximation Theory --- radial basis functions --- native spaces --- truncated function --- approximation --- surface modeling --- second order initial value problems --- linear multistep methods --- Obrechkoff schemes --- trigonometrically fitted --- Darcy-Forchheimer model --- flow in porous media --- nonlinear equation --- heterogeneous media --- finite element method --- multiscale method --- mixed generalized multiscale finite element method --- multiscale basis functions --- two-dimensional domain --- Thiele-like rational interpolation continued fractions with parameters --- unattainable point --- inverse difference --- virtual point --- polynomial chaos --- Szegő polynomials --- directional statistics --- Rogers-Szegő --- state estimation --- clustering

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The inverse dynamics problem was developed in order to provide researchers with the state of the art in inverse problems for dynamic and vibrational systems. Contrasted with a forward problem, which solves for the system output in a straightforward manner, an inverse problem searches for the system input through a procedure contaminated with errors and uncertainties. An inverse problem, with a focus on structural dynamics, determines the changes made to the system and estimates the inputs, including forces and moments, to the system, utilizing measurements of structural vibration responses only. With its complex mathematical structure and need for more reliable input estimations, the inverse problem is still a fundamental subject of research among mathematicians and engineering scientists. This book contains 11 articles that touch upon various aspects of inverse dynamic problems.

Technology: general issues --- regenerative shock absorbers --- energy harvesting --- active control of automobile suspension systems --- railroad tracks --- track modulus --- computer simulation --- artificial neural networks --- Fiber-reinforced Foamed Urethane (FFU) --- free vibration --- impact hammer excitation technique --- high-rate dynamics --- structural health monitoring --- time-frequency analysis --- synchrosqueezing transform (SST) --- jerk --- acceleration onset --- higher-order derivatives of acceleration --- jounce --- acceleration-dot --- sports surfacing --- sand surface --- dynamic behaviour --- impact tests --- accelerometry --- greyhound racing --- equine racing --- shake table control --- vibration testing --- system identification --- inverse dynamics --- feedback linearization --- servohydraulics --- inverse problems --- quantum graphs --- delta-prime vertex conditions --- Bayesian inference --- uncertainty quantification --- dynamical systems --- inverse problem --- machine learning --- Gaussian process --- polynomial chaos --- impact force identification --- tower structure --- impact localization --- force history --- inverse algorithm --- rotor dynamic --- bearing --- centrifugal pump --- impeller diameter --- Lagrangian equations --- regenerative shock absorbers --- energy harvesting --- active control of automobile suspension systems --- railroad tracks --- track modulus --- computer simulation --- artificial neural networks --- Fiber-reinforced Foamed Urethane (FFU) --- free vibration --- impact hammer excitation technique --- high-rate dynamics --- structural health monitoring --- time-frequency analysis --- synchrosqueezing transform (SST) --- jerk --- acceleration onset --- higher-order derivatives of acceleration --- jounce --- acceleration-dot --- sports surfacing --- sand surface --- dynamic behaviour --- impact tests --- accelerometry --- greyhound racing --- equine racing --- shake table control --- vibration testing --- system identification --- inverse dynamics --- feedback linearization --- servohydraulics --- inverse problems --- quantum graphs --- delta-prime vertex conditions --- Bayesian inference --- uncertainty quantification --- dynamical systems --- inverse problem --- machine learning --- Gaussian process --- polynomial chaos --- impact force identification --- tower structure --- impact localization --- force history --- inverse algorithm --- rotor dynamic --- bearing --- centrifugal pump --- impeller diameter --- Lagrangian equations

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The aim of carbon capture, utilization, and storage (CCUS) is to reduce the amount of CO2 released into the atmosphere and to mitigate its effects on climate change. Over the years, naturally occurring CO2 sources have been utilized in enhanced oil recovery (EOR) projects in the United States. This has presented an opportunity to supplement and gradually replace the high demand for natural CO2 sources with anthropogenic sources. There also exist incentives for operators to become involved in the storage of anthropogenic CO2 within partially depleted reservoirs, in addition to the incremental production oil revenues. These incentives include a wider availability of anthropogenic sources, the reduction of emissions to meet regulatory requirements, tax incentives in some jurisdictions, and favorable public relations. The United States Department of Energy has sponsored several Regional Carbon Sequestration Partnerships (RCSPs) through its Carbon Storage program which have conducted field demonstrations for both EOR and saline aquifer storage. Various research efforts have been made in the area of reservoir characterization, monitoring, verification and accounting, simulation, and risk assessment to ascertain long-term storage potential within the subject storage complex. This book is a collection of lessons learned through the RCSP program within the Southwest Region of the United States. The scope of the book includes site characterization, storage modeling, monitoring verification reporting (MRV), risk assessment and international case studies.

Research & information: general --- Physics --- geologic CO2 sequestration --- CO2 and brine leakage --- underground source of drinking water --- risk assessment --- response surface methodology --- early detection criteria --- multi-objective optimization --- CO2-WAG --- machine learning --- numerical modeling --- hybrid workflows --- morrow --- Farnsworth --- Anadarko --- incised valley --- geological carbon sequestration --- reactive surface area --- mineral trapping --- enhanced oil recovery with CO2 (CO2-EOR) --- geochemical reactions --- workflow --- workshop --- process influence diagram --- response surface model --- polynomial chaos expansion --- NRAP --- relative permeability --- geologic carbon storage --- multi-phase flow simulation --- life cycle analysis --- CO2-enhanced oil recovery --- anthropogenic CO2 --- global warming potential --- greenhouse gas (GHG) --- carbon storage --- CO2-EOR --- CO2 sequestration --- geomechanics --- reservoir fluid flow modelling --- tightness of caprock --- CO2 leakage --- threshold pressure --- reactive solute transport --- multi-phase fluid flow --- Farnsworth Unit --- STOMP --- GEM --- TOUGHREACT --- 4D --- time lapse --- CO2 --- EOR --- WAG --- sequestration --- monitoring --- carbon sequestration --- caprock integrity --- noble gas migration --- seal by-pass --- carbon dioxide storage --- storage efficiency factor --- probabilistic --- expectation curve --- Monte Carlo --- Farnsworth Field --- petroleum system modeling --- CO2 migration --- n/a

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The inverse dynamics problem was developed in order to provide researchers with the state of the art in inverse problems for dynamic and vibrational systems. Contrasted with a forward problem, which solves for the system output in a straightforward manner, an inverse problem searches for the system input through a procedure contaminated with errors and uncertainties. An inverse problem, with a focus on structural dynamics, determines the changes made to the system and estimates the inputs, including forces and moments, to the system, utilizing measurements of structural vibration responses only. With its complex mathematical structure and need for more reliable input estimations, the inverse problem is still a fundamental subject of research among mathematicians and engineering scientists. This book contains 11 articles that touch upon various aspects of inverse dynamic problems.

regenerative shock absorbers --- energy harvesting --- active control of automobile suspension systems --- railroad tracks --- track modulus --- computer simulation --- artificial neural networks --- Fiber-reinforced Foamed Urethane (FFU) --- free vibration --- impact hammer excitation technique --- high-rate dynamics --- structural health monitoring --- time-frequency analysis --- synchrosqueezing transform (SST) --- jerk --- acceleration onset --- higher-order derivatives of acceleration --- jounce --- acceleration-dot --- sports surfacing --- sand surface --- dynamic behaviour --- impact tests --- accelerometry --- greyhound racing --- equine racing --- shake table control --- vibration testing --- system identification --- inverse dynamics --- feedback linearization --- servohydraulics --- inverse problems --- quantum graphs --- delta-prime vertex conditions --- Bayesian inference --- uncertainty quantification --- dynamical systems --- inverse problem --- machine learning --- Gaussian process --- polynomial chaos --- impact force identification --- tower structure --- impact localization --- force history --- inverse algorithm --- rotor dynamic --- bearing --- centrifugal pump --- impeller diameter --- Lagrangian equations --- n/a