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Author : John Villadsen
Publisher : Prentice Hall
ISBN 13 : 9780138222055
Total Pages : 446 pages
Book Rating : 4.2/5 (22 download)
Download or read book Solution of Differential Equation Models by Polynomial Approximation written by John Villadsen and published by Prentice Hall. This book was released on 1978 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kenneth Eriksson
Publisher : Cambridge University Press
ISBN 13 : 9780521567381
Total Pages : 558 pages
Book Rating : 4.5/5 (673 download)
Download or read book Computational Differential Equations written by Kenneth Eriksson and published by Cambridge University Press. This book was released on 1996-09-05 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook on computational mathematics is based on a fusion of mathematical analysis, numerical computation and applications.
Author : Simo Särkkä
Publisher : Cambridge University Press
ISBN 13 : 1316510085
Total Pages : 327 pages
Book Rating : 4.3/5 (165 download)
Download or read book Applied Stochastic Differential Equations written by Simo Särkkä and published by Cambridge University Press. This book was released on 2019-05-02 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.
Author : J.G. Llavona
Publisher : Elsevier
ISBN 13 : 0080872417
Total Pages : 257 pages
Book Rating : 4.0/5 (88 download)
Download or read book Approximation of Continuously Differentiable Functions written by J.G. Llavona and published by Elsevier. This book was released on 1986-11-01 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book brings together the important results of a rapidly growing area.As a starting point it presents the classic results of the theory. The book covers such results as: the extension of Wells' theorem and Aron's theorem for the fine topology of order m; extension of Bernstein's and Weierstrass' theorems for infinite dimensional Banach spaces; extension of Nachbin's and Whitney's theorem for infinite dimensional Banach spaces; automatic continuity of homomorphisms in algebras of continuously differentiable functions, etc.
Author : Kendall Atkinson
Publisher : John Wiley & Sons
ISBN 13 : 1118164520
Total Pages : 272 pages
Book Rating : 4.1/5 (181 download)
Download or read book Numerical Solution of Ordinary Differential Equations written by Kendall Atkinson and published by John Wiley & Sons. This book was released on 2011-10-24 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise introduction to numerical methodsand the mathematicalframework neededto understand their performance Numerical Solution of Ordinary Differential Equationspresents a complete and easy-to-follow introduction to classicaltopics in the numerical solution of ordinary differentialequations. The book's approach not only explains the presentedmathematics, but also helps readers understand how these numericalmethods are used to solve real-world problems. Unifying perspectives are provided throughout the text, bringingtogether and categorizing different types of problems in order tohelp readers comprehend the applications of ordinary differentialequations. In addition, the authors' collective academic experienceensures a coherent and accessible discussion of key topics,including: Euler's method Taylor and Runge-Kutta methods General error analysis for multi-step methods Stiff differential equations Differential algebraic equations Two-point boundary value problems Volterra integral equations Each chapter features problem sets that enable readers to testand build their knowledge of the presented methods, and a relatedWeb site features MATLAB® programs that facilitate theexploration of numerical methods in greater depth. Detailedreferences outline additional literature on both analytical andnumerical aspects of ordinary differential equations for furtherexploration of individual topics. Numerical Solution of Ordinary Differential Equations isan excellent textbook for courses on the numerical solution ofdifferential equations at the upper-undergraduate and beginninggraduate levels. It also serves as a valuable reference forresearchers in the fields of mathematics and engineering.
Author : Randall J. LeVeque
Publisher : SIAM
ISBN 13 : 9780898717839
Total Pages : 356 pages
Book Rating : 4.7/5 (178 download)
Download or read book Finite Difference Methods for Ordinary and Partial Differential Equations written by Randall J. LeVeque and published by SIAM. This book was released on 2007-01-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.
Author : Daniel Zwillinger
Publisher : Academic Press
ISBN 13 : 1483263967
Total Pages : 808 pages
Book Rating : 4.4/5 (832 download)
Download or read book Handbook of Differential Equations written by Daniel Zwillinger and published by Academic Press. This book was released on 2014-05-12 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Differential Equations, Second Edition is a handy reference to many popular techniques for solving and approximating differential equations, including numerical methods and exact and approximate analytical methods. Topics covered range from transformations and constant coefficient linear equations to Picard iteration, along with conformal mappings and inverse scattering. Comprised of 192 chapters, this book begins with an introduction to transformations as well as general ideas about differential equations and how they are solved, together with the techniques needed to determine if a partial differential equation is well-posed or what the "natural" boundary conditions are. Subsequent sections focus on exact and approximate analytical solution techniques for differential equations, along with numerical methods for ordinary and partial differential equations. This monograph is intended for students taking courses in differential equations at either the undergraduate or graduate level, and should also be useful for practicing engineers or scientists who solve differential equations on an occasional basis.
Author : J. Hinze
Publisher : Springer
ISBN 13 : 3540393749
Total Pages : 423 pages
Book Rating : 4.5/5 (43 download)
Download or read book Numerical Integration of Differential Equations and Large Linear Systems written by J. Hinze and published by Springer. This book was released on 2006-11-15 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mark E. Davis
Publisher : Courier Corporation
ISBN 13 : 0486493830
Total Pages : 276 pages
Book Rating : 4.4/5 (864 download)
Download or read book Numerical Methods and Modeling for Chemical Engineers written by Mark E. Davis and published by Courier Corporation. This book was released on 2013-01-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Geared toward advanced undergraduates or graduate students of chemical engineering studying applied mathematics, this text introduces the quantitative treatment of differential equations arising from modeling physical phenomena in chemical engineering. Coverage includes topics such as ODE-IVPs, placing emphasis on numerical methods and modeling implemented in commercial mathematical software available in 1985"--
Author : Walter A. Strauss
Publisher : John Wiley & Sons
ISBN 13 : 0470054565
Total Pages : 467 pages
Book Rating : 4.4/5 (7 download)
Download or read book Partial Differential Equations written by Walter A. Strauss and published by John Wiley & Sons. This book was released on 2007-12-21 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
Author : Richard G. Rice
Publisher : John Wiley & Sons
ISBN 13 : 111983385X
Total Pages : 435 pages
Book Rating : 4.1/5 (198 download)
Download or read book Applied Mathematics and Modeling for Chemical Engineers written by Richard G. Rice and published by John Wiley & Sons. This book was released on 2023-05-09 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understand the fundamentals of applied mathematics with this up-to-date introduction Applied mathematics is the use of mathematical concepts and methods in various applied or practical areas, including engineering, computer science, and more. As engineering science expands, the ability to work from mathematical principles to solve and understand equations has become an ever more critical component of engineering fields. New engineering processes and materials place ever-increasing mathematical demands on new generations of engineers, who are looking more and more to applied mathematics for an expanded toolkit. Applied Mathematics and Modeling for Chemical Engineers provides this toolkit in a comprehensive and easy-to-understand introduction. Combining classical analysis of modern mathematics with more modern applications, it offers everything required to assess and solve mathematical problems in chemical engineering. Now updated to reflect contemporary best practices and novel applications, this guide promises to situate readers in a 21st century chemical engineering field in which direct knowledge of mathematics is essential. Readers of the third edition of Applied Mathematics and Modeling for Chemical Engineers will also find: Detailed treatment of ordinary differential equations (ODEs) and partial differential equations (PDEs) and their solutions New material concerning approximate solution methods like perturbation techniques and elementary numerical solutions Two new chapters dealing with Linear Algebra and Applied Statistics Applied Mathematics and Modeling for Chemical Engineers is ideal for graduate and advanced undergraduate students in chemical engineering and related fields, as well as instructors and researchers seeking a handy reference.
Author : S. Chakraverty
Publisher : CRC Press
ISBN 13 : 1351651315
Total Pages : 157 pages
Book Rating : 4.3/5 (516 download)
Download or read book Artificial Neural Networks for Engineers and Scientists written by S. Chakraverty and published by CRC Press. This book was released on 2017-07-20 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential equations play a vital role in the fields of engineering and science. Problems in engineering and science can be modeled using ordinary or partial differential equations. Analytical solutions of differential equations may not be obtained easily, so numerical methods have been developed to handle them. Machine intelligence methods, such as Artificial Neural Networks (ANN), are being used to solve differential equations, and these methods are presented in Artificial Neural Networks for Engineers and Scientists: Solving Ordinary Differential Equations. This book shows how computation of differential equation becomes faster once the ANN model is properly developed and applied.
Author : Johann Bauer
Publisher : CRC Press
ISBN 13 : 1000142469
Total Pages : 342 pages
Book Rating : 4.0/5 (1 download)
Download or read book Cell Electrophoresis written by Johann Bauer and published by CRC Press. This book was released on 2020-07-24 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a summary of the application and instrumentation of cell electrophoresis. The method of making cell purification and characterization possible according to the cellular negative surface charge density is discussed, and ideas for future developments are explained. The negative electrostatic forces at cell surfaces provide information about cell-cell interaction, blood vessel sealing, cytokine actions, cell transformation, ion transport phenomena, and other biological phenomena. Recalculations of the physical principles of cell electrophoresis reveal possibilities for removing disruptive factors caused by electrical current, heat, and sedimentation. The introduction of computer technology, the performance of simultaneous two-parameter measurements, and the application of cell-friendly but current-inert buffer systems render the method more reliable and efficient.
Author : Antônio José da Silva Neto
Publisher : Springer Nature
ISBN 13 : 3031435443
Total Pages : 258 pages
Book Rating : 4.0/5 (314 download)
Download or read book Computational Intelligence Applied to Inverse Problems in Radiative Transfer written by Antônio José da Silva Neto and published by Springer Nature. This book was released on 2024-01-13 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a careful selection of studies in optimization techniques based on artificial intelligence, applied to inverse problems in radiative transfer. In this book, the reader will find an in-depth exploration of heuristic optimization methods, each meticulously described and accompanied by historical context and natural process analogies. From simulated annealing and genetic algorithms to artificial neural networks, ant colony optimization, and particle swarms, this volume presents a wide range of heuristic methods. Additional approaches such as generalized extreme optimization, particle collision, differential evolution, Luus-Jaakola, and firefly algorithms are also discussed, providing a rich repertoire of tools for tackling challenging problems. While the applications showcased primarily focus on radiative transfer, their potential extends to various domains, particularly nonlinear and large-scale problems where traditional deterministic methods fall short. With clear and comprehensive presentations, this book empowers readers to adapt each method to their specific needs. Furthermore, practical examples of classical optimization problems and application suggestions are included to enhance your understanding. This book is suitable to any researcher or practitioner whose interests lie on optimization techniques based in artificial intelligence and bio-inspired algorithms, in fields like Applied Mathematics, Engineering, Computing, and cross-disciplinary areas.
Author : Ralph E. White
Publisher : Springer Science & Business Media
ISBN 13 : 3642043119
Total Pages : 871 pages
Book Rating : 4.6/5 (42 download)
Download or read book Computational Methods in Chemical Engineering with Maple written by Ralph E. White and published by Springer Science & Business Media. This book was released on 2010-02-06 with total page 871 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents Maple solutions to a wide range of problems relevant to chemical engineers and others. Many of these solutions use Maple’s symbolic capability to help bridge the gap between analytical and numerical solutions. The readers are strongly encouraged to refer to the references included in the book for a better understanding of the physics involved, and for the mathematical analysis. This book was written for a senior undergraduate or a first year graduate student course in chemical engineering. Most of the examples in this book were done in Maple 10. However, the codes should run in the most recent version of Maple. We strongly encourage the readers to use the classic worksheet (*. mws) option in Maple as we believe it is more user-friendly and robust. In chapter one you will find an introduction to Maple which includes simple basics as a convenience for the reader such as plotting, solving linear and nonlinear equations, Laplace transformations, matrix operations, ‘do loop,’ and ‘while loop. ’ Chapter two presents linear ordinary differential equations in section 1 to include homogeneous and nonhomogeneous ODEs, solving systems of ODEs using the matrix exponential and Laplace transform method. In section two of chapter two, nonlinear ordinary differential equations are presented and include simultaneous series reactions, solving nonlinear ODEs with Maple’s ‘dsolve’ command, stop conditions, differential algebraic equations, and steady state solutions. Chapter three addresses boundary value problems.
Author : S.S.E.H. Elnashaie
Publisher : Routledge
ISBN 13 : 135143067X
Total Pages : 510 pages
Book Rating : 4.3/5 (514 download)
Download or read book Modelling, Simulation and Optimization of Industrial Fixed Bed Catalytic Reactors written by S.S.E.H. Elnashaie and published by Routledge. This book was released on 2022-01-26 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last two decades impressive advances have been made toward the understanding and quantitative description of the kinetics. Despite these advances, however, the use of mathematical modelling of gas-solid catalytic reactors in industry is still limited. By consolidating progress in the understanding of catalytic processes, this book applies these fundamental advances to the development of models for design, simulation and optimization of industrial reactors. Paying particular attention to the verification of the developed models against industrial data, these models are used to optimize the performance of many practical reactor cases. Using a systems approach for the development of the different components and the resulting overall models, the book is easy to read and gives an insight into the behaviour of these complex industrial systems. In addition, the practical relevance of bifurcation, instability and chaos to industrial reactors is briefly discussed.
Author : Dieter Britz
Publisher : Springer
ISBN 13 : 3319302922
Total Pages : 500 pages
Book Rating : 4.3/5 (193 download)
Download or read book Digital Simulation in Electrochemistry written by Dieter Britz and published by Springer. This book was released on 2016-05-09 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains how the partial differential equations (pdes) in electroanalytical chemistry can be solved numerically. It guides the reader through the topic in a very didactic way, by first introducing and discussing the basic equations along with some model systems as test cases systematically. Then it outlines basic numerical approximations for derivatives and techniques for the numerical solution of ordinary differential equations. Finally, more complicated methods for approaching the pdes are derived. The authors describe major implicit methods in detail and show how to handle homogeneous chemical reactions, even including coupled and nonlinear cases. On this basis, more advanced techniques are briefly sketched and some of the commercially available programs are discussed. In this way the reader is systematically guided and can learn the tools for approaching his own electrochemical simulation problems. This new fourth edition has been carefully revised, updated and extended compared to the previous edition (Lecture Notes in Physics Vol. 666). It contains new material describing migration effects, as well as arrays of ultramicroelectrodes. It is thus the most comprehensive and didactic introduction to the topic of electrochemical simulation.
