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Author : Guri I. Marchuk
Publisher :
ISBN 13 : 9789401706223
Total Pages : 480 pages
Book Rating : 4.7/5 (62 download)
Download or read book Adjoint Equations and Analysis of Complex Systems written by Guri I. Marchuk and published by . This book was released on 2014-03-14 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Guri I. Marchuk
Publisher : Springer Science & Business Media
ISBN 13 : 9780792330134
Total Pages : 490 pages
Book Rating : 4.3/5 (31 download)
Download or read book Adjoint Equations and Analysis of Complex Systems written by Guri I. Marchuk and published by Springer Science & Business Media. This book was released on 1995-01-31 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: New statements of problems arose recently demanding thorough ana lysis. Notice, first of all, the statements of problems using adjoint equations which gradually became part of our life. Adjoint equations are capable to bring fresh ideas to various problems of new technology based on linear and nonlinear processes. They became part of golden fund of science through quantum mechanics, theory of nuclear reactors, optimal control, and finally helped in solving many problems on the basis of perturbation method and sensitivity theory. To emphasize the important role of adjoint problems in science one should mention four-dimensional analysis problem and solution of inverse problems. This range of problems includes first of all problems of global climate changes on our planet, state of environment and protection of environ ment against pollution, preservation of the biosphere in conditions of vigorous growth of population, intensive development of industry, and many others. All this required complex study of large systems: interac tion between the atmosphere and oceans and continents in the theory of climate, cenoses in the biosphere affected by pollution of natural and anthropogenic origin. Problems of local and global perturbations and models sensitivity to input data join into common complex system.
Author : Guri I. Marchuk
Publisher : Springer Science & Business Media
ISBN 13 : 9401706212
Total Pages : 475 pages
Book Rating : 4.4/5 (17 download)
Download or read book Adjoint Equations and Analysis of Complex Systems written by Guri I. Marchuk and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: New statements of problems arose recently demanding thorough ana lysis. Notice, first of all, the statements of problems using adjoint equations which gradually became part of our life. Adjoint equations are capable to bring fresh ideas to various problems of new technology based on linear and nonlinear processes. They became part of golden fund of science through quantum mechanics, theory of nuclear reactors, optimal control, and finally helped in solving many problems on the basis of perturbation method and sensitivity theory. To emphasize the important role of adjoint problems in science one should mention four-dimensional analysis problem and solution of inverse problems. This range of problems includes first of all problems of global climate changes on our planet, state of environment and protection of environ ment against pollution, preservation of the biosphere in conditions of vigorous growth of population, intensive development of industry, and many others. All this required complex study of large systems: interac tion between the atmosphere and oceans and continents in the theory of climate, cenoses in the biosphere affected by pollution of natural and anthropogenic origin. Problems of local and global perturbations and models sensitivity to input data join into common complex system.
Author : Guri I. Marchuk
Publisher : CRC Press
ISBN 13 : 9780849328718
Total Pages : 292 pages
Book Rating : 4.3/5 (287 download)
Download or read book Adjoint Equations and Perturbation Algorithms in Nonlinear Problems written by Guri I. Marchuk and published by CRC Press. This book was released on 1996-05-07 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sparked by demands inherent to the mathematical study of pollution, intensive industry, global warming, and the biosphere, Adjoint Equations and Perturbation Algorithms in Nonlinear Problems is the first book ever to systematically present the theory of adjoint equations for nonlinear problems, as well as their application to perturbation algorithms. This new approach facilitates analysis of observational data, the application of adjoint equations to retrospective study of processes governed by imitation models, and the study of computer models themselves. Specifically, the book discusses: Principles for constructing adjoint operators in nonlinear problems Properties of adjoint operators and solvability conditions for adjoint equations Perturbation algorithms using the adjoint equations theory for nonlinear problems in transport theory, quasilinear motion, substance transfer, and nonlinear data assimilation Known results on adjoint equations and perturbation algorithms in nonlinear problems This groundbreaking text contains some results that have no analogs in the scientific literature, opening unbounded possibilities in construction and application of adjoint equations to nonlinear problems of mathematical physics.
Author : Vincenzo Capasso
Publisher : Springer Science & Business Media
ISBN 13 : 3540271678
Total Pages : 301 pages
Book Rating : 4.5/5 (42 download)
Download or read book Multidisciplinary Methods for Analysis, Optimization and Control of Complex Systems written by Vincenzo Capasso and published by Springer Science & Business Media. This book was released on 2006-01-05 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of lecture notes of a summer school named after the late Jacques Louis Lions. The summer school was designed to alert both Academia and Industry to the increasing role of multidisciplinary methods and tools for the design of complex products in various areas of socio-economic interest. This volume offers the reader a rare opportunity of being exposed to the presentation of real industrial and societal problems together with the relevant innovative methods used.
Author : Guri I. Marchuk
Publisher : CRC Press
ISBN 13 : 1351468790
Total Pages : 292 pages
Book Rating : 4.3/5 (514 download)
Download or read book Adjoint Equations and Perturbation Algorithms in Nonlinear Problems written by Guri I. Marchuk and published by CRC Press. This book was released on 2018-04-24 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sparked by demands inherent to the mathematical study of pollution, intensive industry, global warming, and the biosphere, Adjoint Equations and Perturbation Algorithms in Nonlinear Problems is the first book ever to systematically present the theory of adjoint equations for nonlinear problems, as well as their application to perturbation algorithms. This new approach facilitates analysis of observational data, the application of adjoint equations to retrospective study of processes governed by imitation models, and the study of computer models themselves. Specifically, the book discusses: Principles for constructing adjoint operators in nonlinear problems Properties of adjoint operators and solvability conditions for adjoint equations Perturbation algorithms using the adjoint equations theory for nonlinear problems in transport theory, quasilinear motion, substance transfer, and nonlinear data assimilation Known results on adjoint equations and perturbation algorithms in nonlinear problems This groundbreaking text contains some results that have no analogs in the scientific literature, opening unbounded possibilities in construction and application of adjoint equations to nonlinear problems of mathematical physics.
Author : Yuri N. Skiba
Publisher : Springer Nature
ISBN 13 : 3031581091
Total Pages : 292 pages
Book Rating : 4.0/5 (315 download)
Download or read book Mathematical Methods for the Assessment and Control of Industrial Emissions written by Yuri N. Skiba and published by Springer Nature. This book was released on with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter Sloot
Publisher : Springer Science & Business Media
ISBN 13 : 3540401970
Total Pages : 1188 pages
Book Rating : 4.5/5 (44 download)
Download or read book Computational Science - ICCS 2003. Part 4. written by Peter Sloot and published by Springer Science & Business Media. This book was released on 2003-05-22 with total page 1188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four-volume set LNCS 2657, LNCS 2658, LNCS 2659, and LNCS 2660 constitutes the refereed proceedings of the Third International Conference on Computational Science, ICCS 2003, held concurrently in Melbourne, Australia and in St. Petersburg, Russia in June 2003. The four volumes present more than 460 reviewed contributed and invited papers and span the whole range of computational science, from foundational issues in computer science and algorithmic mathematics to advanced applications in virtually all application fields making use of computational techniques. These proceedings give a unique account of recent results in the field.
Author : I. V. Volovich
Publisher : American Mathematical Soc.
ISBN 13 : 9780821804643
Total Pages : 420 pages
Book Rating : 4.8/5 (46 download)
Download or read book Selected Questions of Mathematical Physics and Analysis written by I. V. Volovich and published by American Mathematical Soc.. This book was released on 1995 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection, dedicated to the 70th anniversary of the birth of VasiliiSergeevich Vladimirov, consists of original papers on various branches of analysis and mathematical physics. It presents work relating to the following topics:--the theory of generalized functions--complex and $p$-adic analysis--mathematical questions of quantum field theory and statistical mechanics--computational mathematics and differential equations.
Author : Eugene A. Ustinov
Publisher : Springer
ISBN 13 : 3319158414
Total Pages : 138 pages
Book Rating : 4.3/5 (191 download)
Download or read book Sensitivity Analysis in Remote Sensing written by Eugene A. Ustinov and published by Springer. This book was released on 2015-04-01 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a detailed presentation of general principles of sensitivity analysis as well as their applications to sample cases of remote sensing experiments. An emphasis is made on applications of adjoint problems, because they are more efficient in many practical cases, although their formulation may seem counterintuitive to a beginner. Special attention is paid to forward problems based on higher-order partial differential equations, where a novel matrix operator approach to formulation of corresponding adjoint problems is presented. Sensitivity analysis (SA) serves for quantitative models of physical objects the same purpose, as differential calculus does for functions. SA provides derivatives of model output parameters (observables) with respect to input parameters. In remote sensing SA provides computer-efficient means to compute the jacobians, matrices of partial derivatives of observables with respect to the geophysical parameters of interest. The jacobians are used to solve corresponding inverse problems of remote sensing. They also play an important role already while designing the remote sensing experiment, where they are used to estimate the retrieval uncertainties of the geophysical parameters with given measurement errors of the instrument, thus providing means for formulations of corresponding requirements to the specific remote sensing instrument. If the quantitative models of geophysical objects can be formulated in an analytic form, then sensitivity analysis is reduced to differential calculus. But in most cases, the practical geophysical models used in remote sensing are based on numerical solutions of forward problems – differential equations with initial and/or boundary conditions. As a result, these models cannot be formulated in an analytic form and this is where the methods of SA become indispensable. This book is intended for a wide audience. The beginners in remote sensing could use it as a single source, covering key issues of SA, from general principles, through formulation of corresponding linearized and adjoint problems, to practical applications to uncertainty analysis and inverse problems in remote sensing. The experts, already active in the field, may find useful the alternative formulations of some key issues of SA, for example, use of individual observables, instead of a widespread use of the cumulative cost function. The book also contains an overview of author’s matrix operator approach to formulation of adjoint problems for forward problems based on the higher-order partial differential equations. This approach still awaits its publication in the periodic literature and thus may be of interest to readership across all levels of expertise.
Author : Richard Swinbank
Publisher : Springer Science & Business Media
ISBN 13 : 9401000298
Total Pages : 377 pages
Book Rating : 4.4/5 (1 download)
Download or read book Data Assimilation for the Earth System written by Richard Swinbank and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data assimilation is the combination of information from observations and models of a particular physical system in order to get the best possible estimate of the state of that system. The technique has wide applications across a range of earth sciences, a major application being the production of operational weather forecasts. Others include oceanography, atmospheric chemistry, climate studies, and hydrology. Data Assimilation for the Earth System is a comprehensive survey of both the theory of data assimilation and its application in a range of earth system sciences. Data assimilation is a key technique in the analysis of remote sensing observations and is thus particularly useful for those analysing the wealth of measurements from recent research satellites. This book is suitable for postgraduate students and those working on the application of data assimilation in meteorology, oceanography and other earth sciences.
Author : Fathalla A. Rihan
Publisher : Springer Nature
ISBN 13 : 9811606269
Total Pages : 292 pages
Book Rating : 4.8/5 (116 download)
Download or read book Delay Differential Equations and Applications to Biology written by Fathalla A. Rihan and published by Springer Nature. This book was released on 2021-08-19 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the numerical treatment of delay differential equations and their applications in bioscience. A wide range of delay differential equations are discussed with integer and fractional-order derivatives to demonstrate their richer mathematical framework compared to differential equations without memory for the analysis of dynamical systems. The book also provides interesting applications of delay differential equations in infectious diseases, including COVID-19. It will be valuable to mathematicians and specialists associated with mathematical biology, mathematical modelling, life sciences, immunology and infectious diseases.
Author : Harbir Antil
Publisher : Springer
ISBN 13 : 1493986368
Total Pages : 434 pages
Book Rating : 4.4/5 (939 download)
Download or read book Frontiers in PDE-Constrained Optimization written by Harbir Antil and published by Springer. This book was released on 2018-10-12 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a broad and uniform introduction of PDE-constrained optimization as well as to document a number of interesting and challenging applications. Many science and engineering applications necessitate the solution of optimization problems constrained by physical laws that are described by systems of partial differential equations (PDEs). As a result, PDE-constrained optimization problems arise in a variety of disciplines including geophysics, earth and climate science, material science, chemical and mechanical engineering, medical imaging and physics. This volume is divided into two parts. The first part provides a comprehensive treatment of PDE-constrained optimization including discussions of problems constrained by PDEs with uncertain inputs and problems constrained by variational inequalities. Special emphasis is placed on algorithm development and numerical computation. In addition, a comprehensive treatment of inverse problems arising in the oil and gas industry is provided. The second part of this volume focuses on the application of PDE-constrained optimization, including problems in optimal control, optimal design, and inverse problems, among other topics.
Author : Vincent Guinot
Publisher : John Wiley & Sons
ISBN 13 : 1118587634
Total Pages : 394 pages
Book Rating : 4.1/5 (185 download)
Download or read book Wave Propagation in Fluids written by Vincent Guinot and published by John Wiley & Sons. This book was released on 2012-12-27 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition with four additional chapters presents the physical principles and solution techniques for transient propagation in fluid mechanics and hydraulics. The application domains vary including contaminant transport with or without sorption, the motion of immiscible hydrocarbons in aquifers, pipe transients, open channel and shallow water flow, and compressible gas dynamics. The mathematical formulation is covered from the angle of conservation laws, with an emphasis on multidimensional problems and discontinuous flows, such as steep fronts and shock waves. Finite difference-, finite volume- and finite element-based numerical methods (including discontinuous Galerkin techniques) are covered and applied to various physical fields. Additional chapters include the treatment of geometric source terms, as well as direct and adjoint sensitivity modeling for hyperbolic conservation laws. A concluding chapter is devoted to practical recommendations to the modeler. Application exercises with on-line solutions are proposed at the end of the chapters.
Author : Matthias Ehrhardt
Publisher : Springer
ISBN 13 : 3319164597
Total Pages : 173 pages
Book Rating : 4.3/5 (191 download)
Download or read book Mathematical Modelling and Numerical Simulation of Oil Pollution Problems written by Matthias Ehrhardt and published by Springer. This book was released on 2015-03-10 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by outstanding experts in the fields of marine engineering, atmospheric physics and chemistry, fluid dynamics and applied mathematics, the contributions in this book cover a wide range of subjects, from pure mathematics to real-world applications in the oil spill engineering business. Offering a truly interdisciplinary approach, the authors present both mathematical models and state-of-the-art numerical methods for adequately solving the partial differential equations involved, as well as highly practical experiments involving actual cases of ocean oil pollution. It is indispensable that different disciplines of mathematics, like analysis and numerics, together with physics, biology, fluid dynamics, environmental engineering and marine science, join forces to solve today’s oil pollution problems. The book will be of great interest to researchers and graduate students in the environmental sciences, mathematics and physics, showing the broad range of techniques needed in order to solve these pollution problems; and to practitioners working in the oil spill pollution industry, offering them a professional reference resource.
Author : Norbert Kroll
Publisher : Springer Science & Business Media
ISBN 13 : 3642040934
Total Pages : 311 pages
Book Rating : 4.6/5 (42 download)
Download or read book MEGADESIGN and MegaOpt - German Initiatives for Aerodynamic Simulation and Optimization in Aircraft Design written by Norbert Kroll and published by Springer Science & Business Media. This book was released on 2009-11-18 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains results of the German CFD initiative MEGADESIGN which combines CFD development activities from DLR, universities and aircraft industry. Based on the DLR flow solvers FLOWer and TAU the main objectives of the four-years project is to ensure the prediction accuracy with a guaranteed error bandwidth for certain aircraft configurations at design conditions, to reduce the simulation turn-around time for large-scale applications significantly, to improve the reliability of the flow solvers for full aircraft configurations in the complete flight regime, to extend the flow solvers to allow for multidisciplinary simulations and to establish numerical shape optimization as a vital tool within the aircraft design process. This volume highlights recent improvements and enhancements of the flow solvers as well as new developments with respect to aerodynamic and multidisciplinary shape optimization. Improved numerical simulation capabilities are demonstrated by several industrial applications.
Author : David P. Chock
Publisher : Springer Science & Business Media
ISBN 13 : 9780387954974
Total Pages : 364 pages
Book Rating : 4.9/5 (549 download)
Download or read book Atmospheric Modeling written by David P. Chock and published by Springer Science & Business Media. This book was released on 2002-07-31 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains refereed papers submitted by international experts who participated in the Atmospheric Modeling workshop March 15 -19, 2000 at the Institute for Mathematics and Its Applications (IMA) at the University of Minnesota. The papers cover a wide range of topics presented in the workshop. In particular, mathematical topics include a performance comparison of operator-splitting and non- splitting methods, time-stepping methods to preserve positivity and consideration of multiple timescale issues in the modeling of atmospheric chemistry, a fully 3D adaptive-grid method, impact of rid resolution on model predictions, testing the robustness of different flow fields, modeling and numerical methods in four-dimensional variational data assimilation, and parallel computing. Modeling topics include the development of an efficient self-contained global circulation-chemistry-transport model and its applications, the development of a modal aerosol model, and the modeling of the emissions and chemistry of monoterpenes that lead to the formation of secondary organic aerosols. The volume provides an excellent cross section of current research activities in atmospheric modeling.
