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This introduction to the singularly perturbed methods in the nonlinear elliptic partial differential equations emphasises the existence and local uniqueness of solutions exhibiting concentration property. The authors avoid using sophisticated estimates and explain the main techniques by thoroughly investigating two relatively simple but typical non-compact elliptic problems. Each chapter then progresses to other related problems to help the reader learn more about the general theories developed from singularly perturbed methods. Designed for PhD students and junior mathematicians intending to do their research in the area of elliptic differential equations, the text covers three main topics. The first is the compactness of the minimization sequences, or the Palais-Smale sequences, or a sequence of approximate solutions; the second is the construction of peak or bubbling solutions by
This introduction to the singularly perturbed methods in the nonlinear elliptic partial differential equations emphasises the existence and local uniqueness of solutions exhibiting concentration property. The authors avoid using sophisticated estimates and explain the main techniques by thoroughly
Brings mathematics to bear on your real-world, scientific problems Mathematical Methods in Interdisciplinary Sciences provides a practical and usable framework for bringing a mathematical approach to modelling real-life scientific and technological problems. The collection of chapters Dr
This textbook on Linear and Nonlinear Optimization is intended for graduate and advanced undergraduate students in operations research and related fields. It is both literate and mathematically strong, yet requires no prior course in optimization. As suggested by its title, the book is divided
Introduction.- Part I High-order polynomial form.- Robust Stabilization of a Class of Nonlinear Time-delay Systems.- Robust Model Reference Adaptive Control for Interconnected Time-delay Systems.- Part II General Nonlinear Uncertainties.- Decentralized Adaptive Control for Interconnected Systems
The authors give a unified treatment of nonlinear solid mechanics, dynamic conservation laws, and the associated finite element techniques, alongside exercises, examples, and working code, to provide a self-contained introduction to the dynamic simulation of nonlinear solids suitable for beginning
Parallel Hamiltonian Formulation For Forward Dynamics Of Free-Flying Manipulators.- Nonlinear Model Predictive Control (NMPC) for free-floating space manipulator.- Performance control of a spacecraft-robotic arm system - desired motion tracking.- Detection and decoding of AIS navigation messages by
Dynamic Treatment Regimes: Statistical Methods for Precision Medicine provides a comprehensive introduction to statistical methodology for the evaluation and discovery of dynamic treatment regimes from data. Researchers and graduate students in statistics, data science, and related quantitative
Broadening its scope to nonstatisticians, Bayesian Methods for Data Analysis, Third Edition provides an accessible introduction to the foundations and applications of Bayesian analysis. Along with a complete reorganization of the material, this edition concentrates more on hierarchical Bayesian
Designed to work as a first introduction to numerical analysis and numerical methods for undergraduate students, the authors have utilized their wide experience of teaching these subjects by incorporating the small details that a beginner might find difficult to understand. The book takes the
You don't have to be a mathematician to maximize the power of quantitative methods. Written for the current?or future?business professional, QUANTITATIVE METHODS FOR BUSINESS, 13E makes it easy for you to understand how you can most effectively use quantitative methods to make smart, successful
Now in its 7th edition, Mathematical Methods for Physicists continues to provide all the mathematical methods that aspiring scientists and engineers are likely to encounter as students and beginning researchers. This bestselling text provides mathematical relations and their proofs essential to the
Get a thorough overview of sustainable methods for site, residential and commercial building construction with this comprehensive text, which covers both traditional and contemporary materials, current industry standards and new and emerging technologies. The only text organized according to the
Factorization Method for Boundary Value Problems by Invariant Embedding presents a new theory for linear elliptic boundary value problems. The authors provide a transformation of the problem in two initial value problems that are uncoupled, enabling you to solve these successively. This method
Written for the highly successful Methods in Molecular Biology series, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily reproducible laboratory protocols, tips on troubleshooting and avoiding known
Presents an up-to-date survey of random sampling methodsOffers useful methods for practitioners together with detailed analyses for researchers in computational statisticsCovers random sampling from multivariate distributionsFeatures a wealth of examples with accompanying computer code
The book provides an accessible but comprehensive overview of methods for mediation and interaction. There has been considerable and rapid methodological development on mediation and moderation/interaction analysis within the causal-inference literature over the last ten years. Much of this
A brief history of diffusion in physics Part I Basics of numerical methods for diffusion phenomena in building physics 2. Heat and Mass Diffusion in Porous Building Elements 2.1 A brief historical 2.2 Heat and mass diffusion models 2.3 Boundary conditions 2.4 Discretization 2.5 Stability
This is the first textbook on a generally applicable control strategy for turbulence and other complex nonlinear systems. The approach of the book employs powerful methods of machine learning for optimal nonlinear control laws. This machine learning control (MLC) is motivated and detailed in
For more than 100 years, Henry's Clinical Diagnosis and Management by Laboratory Methods has been recognized as the premier text in clinical laboratory medicine, widely used by both clinical pathologists and laboratory technicians. Leading experts in each testing discipline clearly explain
This bestseller is known for its modern, practical approach to regression-analysis methods that students will find applicable to real-life problems. APPLIED REGRESSION ANALYSIS AND MULTIVARIABLE METHODS highlights the role of the computer in contemporary statistics with numerous printouts and
How to use nonlinear dynamic models in policy analysis.Policymakers need quantitative as well as qualitative answers to pressing policy questions. Because of advances in computational methods, quantitative estimates are now derived from coherent nonlinear dynamic macroeconomic models embodying
Introduction.- Definitions and Mathematical Models of Single Vehicle Routing.- Definitions and Mathematical Models of OP Variants.- State-of-the-Art Solution Techniques for PTP and PCTSP.- State-of-the-Art Solution Techniques for OP and TOP.- State-of-the-Art Solution Techniques for OPTW and