Download or read book Numerical Solution of Dynamic Equilibrium Equations written by Jamal J. Nasir and published by . This book was released on 1983 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Solution of Dynamic Equilibrium Models Under Poisson Uncertainty written by Olaf Posch and published by . This book was released on 2016 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: We propose a simple and powerful numerical algorithm to compute the transition process in continuous-time dynamic equilibrium models with rare events. In this paper we transform the dynamic system of stochastic differential equations into a system of functional differential equations of the retarded type. We apply the Waveform Relaxation algorithm, i.e., we provide a guess of the policy function and solve the resulting system of (deterministic) ordinary differential equations by standard techniques. For parametric restrictions, analytical solutions to the stochastic growth model and a novel solution to Lucas' endogenous growth model under Poisson uncertainty are used to compute the exact numerical error. We show how (potential) catastrophic events such as rare natural disasters substantially affect the economic decisions of households.
Download or read book Introduction to Unified Mechanics Theory with Applications written by Cemal Basaran and published by Springer Nature. This book was released on 2021-02-02 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text describes the mathematical formulation and proof of the unified mechanics theory (UMT) which is based on the unification of Newton’s laws and the laws of thermodynamics. It also presents formulations and experimental verifications of the theory for thermal, mechanical, electrical, corrosion, chemical and fatigue loads, and it discusses why the original universal laws of motion proposed by Isaac Newton in 1687 are incomplete. The author provides concrete examples, such as how Newton’s second law, F = ma, gives the initial acceleration of a soccer ball kicked by a player, but does not tell us how and when the ball would come to a stop. Over the course of Introduction to Unified Mechanics Theory, Dr. Basaran illustrates that Newtonian mechanics does not account for the thermodynamic changes happening in a system over its usable lifetime. And in this context, this book explains how to design a system to perform its intended functions safely over its usable life time and predicts the expected lifetime of the system without using empirical models, a process currently done using Newtonian mechanics and empirical degradation/failure/fatigue models which are curve-fit to test data. Written as a textbook suitable for upper-level undergraduate mechanics courses, as well as first year graduate level courses, this book is the result of over 25 years of scientific activity with the contribution of dozens of scientists from around the world including USA, Russia, Ukraine, Belarus, Spain, China, India and U.K.
Download or read book Numerical Methods in Economics written by Kenneth L. Judd and published by MIT Press. This book was released on 2023-04-04 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: To harness the full power of computer technology, economists need to use a broad range of mathematical techniques. In this book, Kenneth Judd presents techniques from the numerical analysis and applied mathematics literatures and shows how to use them in economic analyses. The book is divided into five parts. Part I provides a general introduction. Part II presents basics from numerical analysis on R^n, including linear equations, iterative methods, optimization, nonlinear equations, approximation methods, numerical integration and differentiation, and Monte Carlo methods. Part III covers methods for dynamic problems, including finite difference methods, projection methods, and numerical dynamic programming. Part IV covers perturbation and asymptotic solution methods. Finally, Part V covers applications to dynamic equilibrium analysis, including solution methods for perfect foresight models and rational expectation models. A website contains supplementary material including programs and answers to exercises.
Download or read book Numerical Solution of Partial Differential Equations III SYNSPADE 1975 written by Bert Hubbard and published by Academic Press. This book was released on 2014-05-10 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Solution of Partial Differential Equations—III: Synspade 1975 provides information pertinent to those difficult problems in partial differential equations exhibiting some type of singular behavior. This book covers a variety of topics, including the mathematical models and their relation to experiment as well as the behavior of solutions of the partial differential equations involved. Organized into 16 chapters, this book begins with an overview of elastodynamic results for stress intensity factors of a bifurcating crack. This text then discusses the effects of nonlinearities, such as bifurcation, which occur in problems of nonlinear mechanics. Other chapters consider the equations of changing type and those with rapidly oscillating coefficients. This book discusses as well the effective computational methods for numerical solutions. The final chapter deals with the principal results on G-convergence, such as the convergence of the Green's operators for Dirichlet's and other boundary problems. This book is a valuable resource for engineers and mathematicians.
Download or read book Numerical Methods for Bifurcations of Dynamical Equilibria written by Willy J. F. Govaerts and published by SIAM. This book was released on 2000-01-01 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical systems arise in all fields of applied mathematics. The author focuses on the description of numerical methods for the detection, computation, and continuation of equilibria and bifurcation points of equilibria of dynamical systems. This subfield has the particular attraction of having links with the geometric theory of differential equations, numerical analysis, and linear algebra.
Download or read book Dynamic General Equilibrium Modeling written by Burkhard Heer and published by Springer Science & Business Media. This book was released on 2011-10-20 with total page 719 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern business cycle theory and growth theory uses stochastic dynamic general equilibrium models. In order to solve these models, economists need to use many mathematical tools. This book presents various methods in order to compute the dynamics of general equilibrium models. In part I, the representative-agent stochastic growth model is solved with the help of value function iteration, linear and linear quadratic approximation methods, parameterised expectations and projection methods. In order to apply these methods, fundamentals from numerical analysis are reviewed in detail. In particular, the book discusses issues that are often neglected in existing work on computational methods, e.g. how to find a good initial value. In part II, the authors discuss methods in order to solve heterogeneous-agent economies. In such economies, the distribution of the individual state variables is endogenous. This part of the book also serves as an introduction to the modern theory of distribution economics. Applications include the dynamics of the income distribution over the business cycle or the overlapping-generations model. In an accompanying home page to this book, computer codes to all applications can be downloaded.
Download or read book Fluid Solid Interaction Dynamics written by Jing Tang Xing and published by Academic Press. This book was released on 2019-08-30 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid-Solid Interaction Dynamics: Theory, Variational Principles, Numerical Methods and Applications gives a comprehensive accounting of fluid-solid interaction dynamics, including theory, numerical methods and their solutions for various FSI problems in engineering. The title provides the fundamental theories, methodologies and results developed in the application of FSI dynamics. Four numerical approaches that can be used with almost all integrated FSI systems in engineering are presented. Methods are linked with examples to illustrate results. In addition, numerical results are compared with available experiments or numerical data in order to demonstrate the accuracy of the approaches and their value to engineering applications. The title gives readers the state-of-the-art in theory, variational principles, numerical modeling and applications for fluid-solid interaction dynamics. Readers will be able to independently formulate models to solve their engineering FSI problems using information from this book. Presents the state-of-the-art in fluid-solid interaction dynamics, providing theory, method and results Takes an integrated approach to formulate, model and simulate FSI problems in engineering Illustrates results with concrete examples Gives four numerical approaches and related theories that are suitable for almost all integrated FSI systems Provides the necessary information for bench scientists to independently formulate, model, and solve physical FSI problems in engineering
Download or read book Stochastic and Differential Games written by Martino Bardi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of two-person, zero-sum differential games started at the be ginning of the 1960s with the works of R. Isaacs in the United States and L.S. Pontryagin and his school in the former Soviet Union. Isaacs based his work on the Dynamic Programming method. He analyzed many special cases of the partial differential equation now called Hamilton Jacobi-Isaacs-briefiy HJI-trying to solve them explicitly and synthe sizing optimal feedbacks from the solution. He began a study of singular surfaces that was continued mainly by J. Breakwell and P. Bernhard and led to the explicit solution of some low-dimensional but highly nontriv ial games; a recent survey of this theory can be found in the book by J. Lewin entitled Differential Games (Springer, 1994). Since the early stages of the theory, several authors worked on making the notion of value of a differential game precise and providing a rigorous derivation of the HJI equation, which does not have a classical solution in most cases; we mention here the works of W. Fleming, A. Friedman (see his book, Differential Games, Wiley, 1971), P.P. Varaiya, E. Roxin, R.J. Elliott and N.J. Kalton, N.N. Krasovskii, and A.I. Subbotin (see their book Po sitional Differential Games, Nauka, 1974, and Springer, 1988), and L.D. Berkovitz. A major breakthrough was the introduction in the 1980s of two new notions of generalized solution for Hamilton-Jacobi equations, namely, viscosity solutions, by M.G. Crandall and P.-L.
Download or read book Student Solutions Manual to Accompany Economic Dynamics in Discrete Time second edition written by Yue Jiang and published by MIT Press. This book was released on 2020-03-10 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solutions to the odd-numbered exercises in the second edition of Economic Dynamics in Discrete Time. This manual includes solutions to the odd-numbered exercises in the second edition of Economic Dynamics in Discrete Time. Some exercises are purely analytical, while others require numerical methods. Computer codes are provided for most problems. Many exercises ask the reader to apply the methods learned in a chapter to solve related problems, but some exercises ask the reader to complete missing steps in the proof of a theorem or in the solution of an example in the book.
Download or read book Dynamic General Equilibrium Modelling written by Burkhard Heer and published by Springer Science & Business Media. This book was released on 2005-12-05 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern business cycle theory and growth theory uses stochastic dynamic general equilibrium models. Many mathematical tools are needed to solve these models. The book presents various methods for computing the dynamics of general equilibrium models. In part I, the representative-agent stochastic growth model is solved with the help of value function iteration, linear and linear quadratic approximation methods, parameterised expectations and projection methods. In order to apply these methods, fundamentals from numerical analysis are reviewed in detail. Part II discusses methods for solving heterogeneous-agent economies. In such economies, the distribution of the individual state variables is endogenous. This part of the book also serves as an introduction to the modern theory of distribution economics. Applications include the dynamics of the income distribution over the business cycle or the overlapping-generations model. Through an accompanying home page to this book, computer codes to all applications can be downloaded.
Download or read book Computational Methods for the Study of Dynamic Economies written by Ramon Marimon and published by OUP Oxford. This book was released on 1999-03-04 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Macroeconomics increasingly uses stochastic dynamic general equilibrium models to understand theoretical and policy issues. Unless very strong assumptions are made, understanding the properties of particular models requires solving the model using a computer. This volume brings together leading contributors in the field who explain in detail how to implement the computational techniques needed to solve dynamic economics models. A broad spread of techniques are covered, and their application in a wide range of subjects discussed. The book provides the basics of a toolkit which researchers and graduate students can use to solve and analyse their own theoretical models.
Download or read book Human Factors and Design written by Yuri Spirochkin and published by Springer Nature. This book was released on 2023-02-27 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes various manifestations of human factors when interacting with potentially dangerous technical systems: airplanes, launch vehicles and spaceships, nuclear power plants, energy-saturated ground vehicles and infrastructure facilities. The idea of the book arose from the desire to find a common ground between industries that are important for safety. Their similarity lies, in addition to the technological advancement of products and solutions, in equally high safety requirements, in particular taking into account the influence of human factor. Thus, it is of relevance to analyze an impact of human factor in the context of safety. The matter is rather complex: on the one hand humans manage technical systems, on the other hand human errors, negligence or evil intentions can turn the system into a threat with disastrous consequences. However, human interaction with any technical system begins earlier – in the design stage. In this stage, designer, being creator of the system, must ensure a safe operation and take into consideration possible risks, including those caused by human factors itself. The book is interdisciplinary in nature and intended mainly for designers of technical systems, aiming to assist the specialists in understanding the issues of human participation in life cycle of these systems. The examples given are intended to benefit from experiences of not one, but a number of industries.
Download or read book Computational Structural Dynamics written by K. Talaganov and published by CRC Press. This book was released on 2002-01-01 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume deal with the demonstration of the possibilities offered by computational technology as to finding better solutions to problems in different fields of structural dynamics, with a special emphasis on earthquake structural dynamics.
Download or read book Programming the Dynamic Analysis of Structures written by Prab Bhatt and published by CRC Press. This book was released on 2002-11-01 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a series of integrated computer programs in Fortran-90 for the dynamic analysis of structures, using the finite element method. Two dimensional continuum structures such as walls are covered along with skeletal structures such as rigid jointed frames and plane grids. Response to general dynamic loading of single degree freedom systems is calculated, and the author also examines multi degree of freedom systems (including earthquake analysis). Each chapter covers a different aspect of analytic theory and the corresponding program segments. It will be an essential tool for practising structural and civil engineers, whilst also being of interest to academics and postgraduate students.
Download or read book Numerical Solution of Partial Differential Equations written by James H. Bramble and published by . This book was released on 1965 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Basic Structural Dynamics written by James C. Anderson and published by John Wiley & Sons. This book was released on 2012-07-16 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise introduction to structural dynamics and earthquake engineering Basic Structural Dynamics serves as a fundamental introduction to the topic of structural dynamics. Covering single and multiple-degree-of-freedom systems while providing an introduction to earthquake engineering, the book keeps the coverage succinct and on topic at a level that is appropriate for undergraduate and graduate students. Through dozens of worked examples based on actual structures, it also introduces readers to MATLAB, a powerful software for solving both simple and complex structural dynamics problems. Conceptually composed of three parts, the book begins with the basic concepts and dynamic response of single-degree-of-freedom systems to various excitations. Next, it covers the linear and nonlinear response of multiple-degree-of-freedom systems to various excitations. Finally, it deals with linear and nonlinear response of structures subjected to earthquake ground motions and structural dynamics-related code provisions for assessing seismic response of structures. Chapter coverage includes: Single-degree-of-freedom systems Free vibration response of SDOF systems Response to harmonic loading Response to impulse loads Response to arbitrary dynamic loading Multiple-degree-of-freedom systems Introduction to nonlinear response of structures Seismic response of structures If you're an undergraduate or graduate student or a practicing structural or mechanical engineer who requires some background on structural dynamics and the effects of earthquakes on structures, Basic Structural Dynamics will quickly get you up to speed on the subject without sacrificing important information.
