Numerical Techniques for Global Atmospheric Models PDF Download
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Author: Peter H. Lauritzen
Publisher: Springer Science & Business Media
ISBN: 364211640X
Category : Mathematics
Languages : en
Pages : 570
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Book Description
This book surveys recent developments in numerical techniques for global atmospheric models. It is based upon a collection of lectures prepared by leading experts in the field. The chapters reveal the multitude of steps that determine the global atmospheric model design. They encompass the choice of the equation set, computational grids on the sphere, horizontal and vertical discretizations, time integration methods, filtering and diffusion mechanisms, conservation properties, tracer transport, and considerations for designing models for massively parallel computers. A reader interested in applied numerical methods but also the many facets of atmospheric modeling should find this book of particular relevance.
Author: Peter H. Lauritzen
Publisher: Springer Science & Business Media
ISBN: 364211640X
Category : Mathematics
Languages : en
Pages : 570
Get Book Here
Book Description
This book surveys recent developments in numerical techniques for global atmospheric models. It is based upon a collection of lectures prepared by leading experts in the field. The chapters reveal the multitude of steps that determine the global atmospheric model design. They encompass the choice of the equation set, computational grids on the sphere, horizontal and vertical discretizations, time integration methods, filtering and diffusion mechanisms, conservation properties, tracer transport, and considerations for designing models for massively parallel computers. A reader interested in applied numerical methods but also the many facets of atmospheric modeling should find this book of particular relevance.
Author: Simon Benninga
Publisher: MIT Press
ISBN: 9780262521413
Category : Business & Economics
Languages : en
Pages : 260
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Book Description
Deals with corporate finance and portfolio problems
Author: Forman S. Acton
Publisher: American Mathematical Soc.
ISBN: 147045727X
Category : Mathematics
Languages : en
Pages : 549
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Book Description
Author: Aniruddha Mitra
Publisher: Cognella Academic Publishing
ISBN: 9781516500154
Category :
Languages : en
Pages :
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Book Description
Written for sophomore-level students in mechanical engineering programs and designed to give them the math preparation they need to succeed in higher level mechanical engineering courses, Introduction to Numerical Methods incorporates theory and worked-out engineering-related problems that apply that theory, as well as relevant laboratory exercises. Ideally suited to one-semester, three-credit, problem solving session-based courses, the book covers errors in computation, rounding and chopping, solving equations with numerical techniques, matrixes and vectors, and complex numbers. The material also includes an introduction to optimization, linear programming problems, and instruction in probability and statistics. It should be noted that many of the exercises in the book suggest the use of a Ti-83 calculator, and that tips for using this calculator successfully are integrated into the text. Introduction to Numerical Methods is a well-organized, useful addition to undergraduate course work in engineering programs, especially in the mechanical discipline.
Author: Uri M. Ascher
Publisher: SIAM
ISBN: 0898719976
Category : Mathematics
Languages : en
Pages : 574
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Book Description
Offers students a practical knowledge of modern techniques in scientific computing.
Author: Kenneth L. Judd
Publisher: MIT Press
ISBN: 0262547740
Category : Business & Economics
Languages : en
Pages : 657
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Book Description
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.
Author: Dr. J. S. Chitode
Publisher: Technical Publications
ISBN: 9333224033
Category : Technology & Engineering
Languages : en
Pages : 638
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Book Description
The book comprises of various numerical methods and their implementation with C-language and MATLAB. Basics of C-programming are covered in first chapter. Basics of errors in computation, number representation and its impact on errors is covered in second chapter. Various types of errors, their propagation, analysis and estimation is also covered in this chapter. Roots of transcendental equations are covered in third chapter. Birge-vieta method, Bairstow method, Bisection method, Secant method, Regula Falsi, Newton Raphson methods are discussed in detail. Fourth chapter focuses mainly on solution of simultaneous linear equations. Graphical, matrix inversion, substitution, Gauss' elimination, Gauss Jordan, LU decomposition, Gauss Seidel methods are discussed with the help of numerical examples. Curve fitting is discussed in fifth chapter. Finite differences operators, finite differences, Newton's forward and backward difference interpolation, divided differences interpolation, Lagrange’s interpolation, inverse interpolation, least squares approximation are presented. Numerical differentiation and integration is given in sixth and seventh chapter. Simpson's and trapezoidal rules of integration are presented. Solution of ordinary differential equations is given in eighth chapter. Taylor series, Picard’s methods, Euler's RK methods, Predictor corrector methods, boundary value problems and eigen value problems are also presented. Last chapter deals with unconstrained and constrained optimization. All the methods are implemented using C-program and some of them with MATLAB. Large number of solved and unsolved examples are also given.
Author: Qingkai Kong
Publisher: Academic Press
ISBN: 0128195509
Category : Technology & Engineering
Languages : en
Pages : 482
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Book Description
Python Programming and Numerical Methods: A Guide for Engineers and Scientists introduces programming tools and numerical methods to engineering and science students, with the goal of helping the students to develop good computational problem-solving techniques through the use of numerical methods and the Python programming language. Part One introduces fundamental programming concepts, using simple examples to put new concepts quickly into practice. Part Two covers the fundamentals of algorithms and numerical analysis at a level that allows students to quickly apply results in practical settings. - Includes tips, warnings and "try this" features within each chapter to help the reader develop good programming practice - Summaries at the end of each chapter allow for quick access to important information - Includes code in Jupyter notebook format that can be directly run online
Author: Ian Turner
Publisher: CRC Press
ISBN: 148229219X
Category : Science
Languages : en
Pages : 696
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Book Description
Offers information necessary for the development of mathematical models and numerical techniques to solve specific drying problems. The book addresses difficult issues involved with the drying equations of numerical analysis, including mesh generation, discretinization strategies, the nonlinear equation set and the linearized algebraic system, convergance criteria, time step control, experimental validation, optimum methods of visualization results, and more.
Author: Said S.E.H. Elnashaie
Publisher: Springer Science & Business Media
ISBN: 0387681671
Category : Mathematics
Languages : en
Pages : 595
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Book Description
This interdisciplinary book presents numerical techniques needed for chemical and biological engineers using Matlab. The book begins by exploring general cases, and moves on to specific ones. The text includes a large number of detailed illustrations, exercises and industrial examples. The book provides detailed mathematics and engineering background in the appendixes, including an introduction to Matlab. The text will be useful to undergraduate students in chemical/biological engineering, and in applied mathematics and numerical analysis.
