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  • Sensitivity and Uncertainty Analysis, Volume II

    Applications to Large-Scale Systems

    As computer-assisted modeling and analysis of physical processes have continued to grow and diversify, sensitivity and uncertainty analyses have become indispensable scientific tools. Sensitivity and Uncertainty Analysis. Volume I: Theory focused on the mathematical underpinnings of two important methods for such analyses: the Adjoint Sensitivity Analysis Procedure and the Global Adjoint ... Read more

    $109.99 CAD

  • Sensitivity & Uncertainty Analysis, Volume 1

    Theory

    by Dan G. Cacuci ...
    As computer-assisted modeling and analysis of physical processes have continued to grow and diversify, sensitivity and uncertainty analyses have become indispensable investigative scientific tools in their own right. While most techniques used for these analyses are well documented, there has yet to appear a systematic treatment of the method based on adjoint operators, which is applicable to a ... Read more

    $331.99 CAD

  • Advances in High-Order Sensitivity Analysis

    Series series Advances in Applied Mathematics
    The high-order sensitivities of model responses with respect to model parameters are notoriously difficult to compute for large-scale models involving many parameters. The neglect of higher-order response sensitivities leads to substantial errors in predicting the moments (expectation, variance, skewness, kurtosis, and higher-order) of the model response’s distribution in the phase space of model ... Read more

    $142.99 CAD

  • The Second-Order Adjoint Sensitivity Analysis Methodology

    Series series Advances in Applied Mathematics
    The Second-Order Adjoint Sensitivity Analysis Methodology generalizes the First-Order Theory presented in the author’s previous books published by CRC Press. This breakthrough has many applications in sensitivity and uncertainty analysis, optimization, data assimilation, model calibration, and reducing uncertainties in model predictions. The book has many illustrative examples that will help ... Read more

    $267.99 CAD

  • Computational Methods for Data Evaluation and Assimilation

    Data evaluation and data combination require the use of a wide range of probability theory concepts and tools, from deductive statistics mainly concerning frequencies and sample tallies to inductive inference for assimilating non-frequency data and a priori knowledge. Computational Methods for Data Evaluation and Assimilation presents interdiscipli ... Read more

    $133.99 CAD

  • The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume II

    Overcoming the Curse of Dimensionality: Large-Scale Application

    Series series Physics and Astronomy (R0)
    This text describes a comprehensive adjoint sensitivity analysis methodology (nth-CASAM), developed by the author, which enablesthe efficient and exact computation of arbitrarily high-order functional derivatives of model responses to model parameters in large-scale systems. The nth-CASAM framework is set in linearly increasing Hilbert spaces, each of state-function-dimensionality, as opposed to ... Read more

    $205.99 CAD

  • Advances in High-Order Predictive Modeling

    Methodologies and Illustrative Problems

    Series series Advances in Applied Mathematics
    Continuing the author’s previous work on modeling, this book presents the most recent advances in high-order predictive modeling. The author begins with the mathematical framework of the 2nd-BERRU-PM methodology, an acronym that designates the “second-order best-estimate with reduced uncertainties (2nd-BERRU) predictive modeling (PM).” The 2nd-BERRU-PM methodology is fundamentally anchored in ... Read more

    $109.99 CAD

  • The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume III

    Overcoming the Curse of Dimensionality: Nonlinear Systems

    Series series Physics and Astronomy (R0)
    This text describes a comprehensive adjoint sensitivity analysis methodology (C-ASAM), developed by the author, enabling the efficient and exact computation of arbitrarily high-order functional derivatives of model responses to model parameters in large-scale systems. The model’s responses can be either scalar-valued functionals of the model’s parameters and state variables (as customarily ... Read more

    $231.99 CAD

  • The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume I

    Overcoming the Curse of Dimensionality: Linear Systems

    Series series Physics and Astronomy (R0)
    The computational models of physical systems comprise parameters, independent and dependent variables. Since the physical processes themselves are seldom known precisely and since most of the model parameters stem from experimental procedures which are also subject to imprecisions, the results predicted by these models are also imprecise, being affected by the uncertainties underlying the ... Read more

    $192.99 CAD

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    There is a resurgence of applications in which the calculus of variations has direct relevance. In addition to application to solid mechanics and dynamics, it is now being applied in a variety of numerical methods, numerical grid generation, modern physics, various optimization settings and fluid dynamics. Many applications, such as nonlinear optimal control theory applied to continuous systems, ... Read more

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  • Introductory Finite Element Method

    Series series Mechanical and Aerospace Engineering Series
    Although there are many books on the finite element method (FEM) on the market, very few present its basic formulation in a simple, unified manner. Furthermore, many of the available texts address either only structure-related problems or only fluid or heat-flow problems, and those that explore both do so at an advanced level. Introductory Finite Element Method examines both structural analysis ... Read more

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  • Simple Brownian Diffusion

    An Introduction to the Standard Theoretical Models

    Brownian diffusion is the motion of one or more solute molecules in a sea of very many, much smaller solvent molecules. Its importance today owes mainly to cellular chemistry, since Brownian diffusion is one of the ways in which key reactant molecules move about inside a living cell. This book focuses on the four simplest models of Brownian diffusion: the classical Fickian model, the Einstein ... Read more

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