Arama Sonuçları - "A posteriori"

Error Estimates for Advanced Galerkin Methods Yazar: Rüter, Marcus Olavi

İçindekiler: “…Introduction -- Newtonian and Eshelbian Mechanics -- Boundary Value Problems -- Galerkin Methods -- Numerical Integration -- Energy Norm A Posteriori Error Estimates -- Goal-oriented A Posteriori Error Estimates in Linearized Elasticity -- Goal-oriented A Posteriori Error Estimates in Finite Hyperelasticity -- Numerical Examples -- The Nonstandard Dyadic Product Operators -- Push-forward and Pull-back Operations -- Tensor derivatives -- A Generalized Nitsche Method -- The J-integral in Elastic FractureMechanics -- Linearizations -- Materials investigated in this monograph -- Functional Analysis-A Synopsis.…”
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Python for Probability, Statistics, and Machine Learning Yazar: Unpingco, José

İçindekiler: “…Introduction -- Part 1 Getting Started with Scientific Python -- Installation and Setup -- Numpy -- Matplotlib -- Ipython -- Jupyter Notebook -- Scipy -- Pandas -- Sympy -- Interfacing with Compiled Libraries -- Integrated Development Environments -- Quick Guide to Performance and Parallel Programming -- Other Resources -- Part 2 Probability -- Introduction -- Projection Methods -- Conditional Expectation as Projection -- Conditional Expectation and Mean Squared Error -- Worked Examples of Conditional Expectation and Mean Square Error Optimization -- Useful Distributions -- Information Entropy -- Moment Generating Functions -- Monte Carlo Sampling Methods -- Useful Inequalities -- Part 3 Statistics -- Python Modules for Statistics -- Types of Convergence -- Estimation Using Maximum Likelihood -- Hypothesis Testing and P-Values -- Confidence Intervals -- Linear Regression -- Maximum A-Posteriori -- Robust Statistics -- Bootstrapping -- Gauss Markov -- Nonparametric Methods -- Survival Analysis -- Part 4 Machine Learning -- Introduction -- Python Machine Learning Modules -- Theory of Learning -- Decision Trees -- Boosting Trees -- Logistic Regression -- Generalized Linear Models -- Regularization -- Support Vector Machines -- Dimensionality Reduction -- Clustering -- Ensemble Methods -- Deep Learning -- Notation -- References -- Index.…”
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Verifying Calculations - Forty Years On An Overview of Classical Verification Techniques for FEM Simulations /

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Mathematical Modeling and Optimization of Complex Structures

İçindekiler: “…Foreword -- Preface -- Acknowledgements -- List of Contributors -- PART I Numerical Analysis -- Computational Issues for Optimal Shape Design in Hemodynamics, by Olivier Pironneau -- Functional A Posteriori Error Estimate for a Nonsymmetric Stationary Diffusion Problem, by Olli Mali -- Error Estimates of Uzawa Iteration Method for a Class of Bingham Fluids, by Marjaana Nokka and Sergey Repin -- An Automatic Differentiation Based Approach to the Level Set Method, by Jukka I. …”
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Contributions to Partial Differential Equations and Applications

İçindekiler: “…Rebholz, and Alessandro Veneziani -- Model order reduction for problems with large convection effects, by Nicolas Cagniart, Yvon Maday, and Benjamin Stamm -- Parametric optimization of pulsating jets in unsteady flow by Multiple-Gradient Descent Algorithm (MGDA), by Jean-Antoine Désidéri and Regis Duvigneau -- Mixed formulation of a linearized lubrication fracture model in a poro-elastic medium, by Vivette Girault, Mary Wheeler, Kundan Kumar, and Gurpreet Singh -- Two decades of wave-like equation for the numerical simulation of incompressible viscous flow: A review, by Roland Glowinski and Tsorng-Whay Pan -- An arbitrary Lagrangian-Eulerian Finite Element method preserving convex invariants of hyperbolic systems, by Jean-Luc Guermond, Bojan Popov, Laura Saavedra, and Yong Yang -- Dual-primal isogeometric tearing and interconnecting methods, by Christoph Hofer and Ulrich Langer -- C0 Interior Penalty Discontinuous Galerkin approximation ofa sixth order Cahn-Hilliard equation modeling microemulsification processes, by Ronald Hoppe and Christopher Linsenmann -- On existence "in the large" of a solution to modified Navier-Stokes equations, by George Kobelkov -- An algebraic solver for the Oseen problem with application to hemodynamics, by Igor Konshin, Maxim Olshanskii, and Yuri Vassilevski -- Martin's problem for volume-surface reaction-diffusion systems, by Jeff Morgan and Vandana Sharma -- A posteriori error estimates for the electric field integral equation on polyhedral, by Ricardo Nochetto and Benjamin Stamm -- On some weighted Stokes problems: applications on Smagorinsky models, by Jacques Rappaz and Jonathan Rochat -- Poincaré type inequalities for vector functions with zero mean normal traces on the boundary and applications to interpolation methods, by Sergey Repin -- The ensemble interpretation of quantum mechanics and the two-slit experiment, by Glenn Webb. .…”
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