Efficient Methods for Solving Equations and Variational Inequalities
Author: Ioannis K. Argyros
Publisher: Polimetrica s.a.s.
Published: 2009
Total Pages: 605
ISBN-13: 8876991492
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A Contemporary Study of Iterative Methods
Author: A. Alberto Magrenan
Publisher: Academic Press
Published: 2018-02-13
Total Pages: 402
ISBN-13: 0128094931
DOWNLOAD EBOOKA Contemporary Study of Iterative Methods: Convergence, Dynamics and Applications evaluates and compares advances in iterative techniques, also discussing their numerous applications in applied mathematics, engineering, mathematical economics, mathematical biology and other applied sciences. It uses the popular iteration technique in generating the approximate solutions of complex nonlinear equations that is suitable for aiding in the solution of advanced problems in engineering, mathematical economics, mathematical biology and other applied sciences. Iteration methods are also applied for solving optimization problems. In such cases, the iteration sequences converge to an optimal solution of the problem at hand. - Contains recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces - Encompasses the novel tool of dynamic analysis for iterative methods, including new developments in Smale stability theory and polynomiography - Explores the uses of computation of iterative methods across non-linear analysis - Uniquely places discussion of derivative-free methods in context of other discoveries, aiding comparison and contrast between options
Numerical Methods for Nonlinear Variational Problems
Author: Roland Glowinski
Publisher: Springer
Published: 2013-10-03
Total Pages: 493
ISBN-13: 9783662126158
DOWNLOAD EBOOKThis book describes the mathematical background and reviews the techniques for solving problems, including those that require large computations such as transonic flows for compressible fluids and the Navier-Stokes equations for incompressible viscous fluids. Finite element approximations and non-linear relaxation, and nonlinear least square methods are all covered in detail, as are many applications. This volume is a classic in a long-awaited softcover re-edition.
Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces
Author: Michael Ulbrich
Publisher: SIAM
Published: 2011-07-28
Total Pages: 315
ISBN-13: 1611970687
DOWNLOAD EBOOKA comprehensive treatment of semismooth Newton methods in function spaces: from their foundations to recent progress in the field. This book is appropriate for researchers and practitioners in PDE-constrained optimization, nonlinear optimization and numerical analysis, as well as engineers interested in the current theory and methods for solving variational inequalities.
Mathematical Analysis, Differential Equations And Applications
Author: Panos M Pardalos
Publisher: World Scientific
Published: 2024-07-26
Total Pages: 958
ISBN-13: 9811267057
DOWNLOAD EBOOKThis comprehensive volume presents essential mathematical results devoted to topics of mathematical analysis, differential equations and their various applications. It focuses on differential operators, Wardowski maps, low-oscillation functions, Galois and Pataki connections, Hardy-type inequalities, to name just a few.Effort has been made for this unique title to have an interdisciplinary flavor and features several applications such as in tomography, elastic scattering, fluid mechanics, etc.This work could serve as a useful reference text to benefit professionals, academics and graduate students working in theoretical computer science, computer mathematics, and general applied mathematics.
Advances in Nonlinear Variational Inequalities
Author:
Publisher:
Published: 2000
Total Pages: 624
ISBN-13:
DOWNLOAD EBOOKComputational Methods In Nonlinear Analysis: Efficient Algorithms, Fixed Point Theory And Applications
Author: Ioannis K Argyros
Publisher: World Scientific
Published: 2013-07-11
Total Pages: 592
ISBN-13: 9814405841
DOWNLOAD EBOOKThe field of computational sciences has seen a considerable development in mathematics, engineering sciences, and economic equilibrium theory. Researchers in this field are faced with the problem of solving a variety of equations or variational inequalities. We note that in computational sciences, the practice of numerical analysis for finding such solutions is essentially connected to variants of Newton's method. The efficient computational methods for finding the solutions of fixed point problems, nonlinear equations and variational inclusions are the first goal of the present book. The second goal is the applications of these methods in nonlinear problems and the connection with fixed point theory.This book is intended for researchers in computational sciences, and as a reference book for an advanced computational methods in nonlinear analysis. We collect the recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces, and present several applications and connections with fixed point theory. The book contains abundant and updated bibliography, and provides comparison between various investigations made in recent years in the field of computational nonlinear analysis.
Differential and Integral Inequalities
Author: Dorin Andrica
Publisher: Springer Nature
Published: 2019-11-14
Total Pages: 848
ISBN-13: 3030274071
DOWNLOAD EBOOKTheories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy–Hadamard, Chebychev, Markov, Euler’s constant, Grothendieck, Hilbert, Hardy, Carleman, Landau–Kolmogorov, Carlson, Bernstein–Mordell, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research.
Variational Methods for the Numerical Solution of Nonlinear Elliptic Problem
Author: Roland Glowinski
Publisher: SIAM
Published: 2015-11-04
Total Pages: 473
ISBN-13: 1611973783
DOWNLOAD EBOOKVariational Methods for the Numerical Solution of Nonlinear Elliptic Problems?addresses computational methods that have proven efficient for the solution of a large variety of nonlinear elliptic problems. These methods can be applied to many problems in science and engineering, but this book focuses on their application to problems in continuum mechanics and physics. This book differs from others on the topic by presenting examples of the power and versatility of operator-splitting methods; providing a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly nonsmooth) problems from science and engineering; and showing that nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems. The book provides useful insights suitable for advanced graduate students, faculty, and researchers in applied and computational mathematics as well as research engineers, mathematical physicists, and systems engineers.
Augmented Lagrangian Methods
Author: M. Fortin
Publisher: Elsevier
Published: 2000-04-01
Total Pages: 361
ISBN-13: 008087536X
DOWNLOAD EBOOKThe purpose of this volume is to present the principles of the Augmented Lagrangian Method, together with numerous applications of this method to the numerical solution of boundary-value problems for partial differential equations or inequalities arising in Mathematical Physics, in the Mechanics of Continuous Media and in the Engineering Sciences.
