Difference Equations For Scientists And Engineering Interdisciplinary Difference Equations
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Difference Equations For Scientists And Engineering: Interdisciplinary Difference Equations
'Radlin has done a nice job in producing a textbook which provides a learner friendly introduction to difference equations. It would suit as a core text for a first year course in the topic, aimed, as the title suggests, at physical science or engineering undergraduates. The student who is prepared to work through the book will get a good grounding in basic techniques and gain a feel for the possible behaviours of standard equations. He will also be given some indication of the usefulness and potential complexity of discrete systems in modern science and engineering.'London Mathematical SocietyWe introduce interdisciplinary research and get students and the audience familiarized with the difference equations; solving them explicitly, determining the long-term behavior of solutions (convergence, boundedness and periodicity). We help to develop intuition in analyzing convergence of solutions in terms of subsequences and analyzing patterns of periodic cycles. Our book helps you learn applications in biology, economics and business, computer science and engineering.
Numerical Partial Differential Equations for Environmental Scientists and Engineers
Author: Daniel R. Lynch
language: en
Publisher: Springer Science & Business Media
Release Date: 2004-12-15
For readers with some competence in PDE solution properties, this book offers an interdisciplinary approach to problems occurring in natural environmental media: the hydrosphere, atmosphere, cryosphere, lithosphere, biosphere and ionosphere. It presents two major discretization methods: Finite Difference and Finite Element, plus a section on practical approaches to ill-posed problems. The blend of theory, analysis, and implementation practicality supports solving and understanding complicated problems.
DSGE Models for Real Business Cycle and New Keynesian Macroeconomics
Author: Giuseppe Chirichiello
language: en
Publisher: Springer Nature
Release Date: 2024-05-20
This textbook introduces graduate and upper undergraduate students to Dynamic Stochastic General Equilibrium (DSGE) models. As DSGE models become integral in advanced coursework, this book serves as an invaluable guide, explaining the complexities with a methodological red thread across its five chapters. Starting with the stochastic dynamic models of the Real Business Cycle (RBC) and progressing through the field of New Keynesian Macroeconomics (NKE), it employs DSGE models to shed light on the dynamic nature of economic systems. The book presents the Blanchard-Kahn methodology for theoretical solutions, discussing its usefulness and limitations as models evolve in complexity. The book goes on to explain the shift from analytical to numerical solutions, showcasing the DYNARE software and providing coding insights. Unique to this volume is a chapter on difference equations, equipping students with essential mathematical tools, and a concluding exploration of a medium-sized NewKeynesian Economics model. This book will equip students to navigate the theoretical complexities of the topic and to independently replicate and comprehend the presented results. It bridges the gap between classical and Keynesian paradigms, reviving the debate in today's "RBC vs NKE" landscape. It will enable students to master the essence of macroeconomic theories and methodologies, paving the way for their scholarly pursuits.