First Order Partial Differential Equations Vol 2
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First Order Partial Differential Equations Vol 2
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Author : Hyun-Ku Rhee
language : en
Publisher: Courier Corporation
Release Date : 2013-05-17
First Order Partial Differential Equations Vol 2 written by Hyun-Ku Rhee and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-17 with Mathematics categories.
Second volume of a highly regarded two-volume set, fully usable on its own, examines physical systems that can usefully be modeled by equations of the first order. Examples are drawn from a wide range of scientific and engineering disciplines. The book begins with a consideration of pairs of quasilinear hyperbolic equations of the first order and goes on to explore multicomponent chromatography, complications of counter-current moving-bed adsorbers, the adiabatic adsorption column, and chemical reaction in countercurrent reactors. Exercises appear at the end of most sections. Accessible to anyone with a thorough grounding in undergraduate mathematics — ideally including volume 1 of this set. 1989 edition. 198 black-and-white illustrations. Author and subject indices.
Handbook Of First Order Partial Differential Equations
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Author : Andrei D. Polyanin
language : en
Publisher: CRC Press
Release Date : 2001-11-15
Handbook Of First Order Partial Differential Equations written by Andrei D. Polyanin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-15 with Mathematics categories.
This book contains about 3000 first-order partial differential equations with solutions. New exact solutions to linear and nonlinear equations are included. The text pays special attention to equations of the general form, showing their dependence upon arbitrary functions. Each section outlines basic solution methods for the differential equations in that section. The text presents equations and their applications in areas such as differential geometry, nonlinear mechanics, gas dynamics, heat and mass transfer, and wave theory. This handbook is essential for researchers, engineers and students of applied mathematics, mechanics, control theory, and the engineering sciences.
Advanced Partial Differential Equations
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Author : Sameer Kulkarni
language : en
Publisher: Educohack Press
Release Date : 2025-02-28
Advanced Partial Differential Equations written by Sameer Kulkarni and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-28 with Science categories.
Embark on an in-depth exploration of partial differential equations (PDEs) with "Advanced Partial Differential Equations." Our comprehensive guide provides a thorough overview of the theory, numerical methods, and practical applications of PDEs across various scientific and engineering fields. This resource is designed for both graduate-level students and professionals seeking to deepen their understanding of PDEs. We cover a wide range of topics, from classical PDEs and numerical methods to applications in physics, engineering, biology, and finance. Additionally, we delve into advanced topics such as nonlinear equations and stochastic processes, presenting each subject with rigorous mathematical treatment and clear explanations. Our guide includes detailed discussions on numerical techniques for solving PDEs, featuring finite difference, finite element, spectral, and boundary integral methods. Real-world examples and case studies illustrate the practical relevance of PDEs in disciplines like fluid dynamics, heat transfer, electromagnetics, structural mechanics, and mathematical biology. To enhance your learning experience, we offer thought-provoking exercises and problems at the end of each chapter, along with MATLAB and Python code snippets for implementing numerical algorithms. Whether you're a student, researcher, or practitioner, "Advanced Partial Differential Equations" equips you with the knowledge and tools to tackle complex problems in science and engineering.
Control Theory For Partial Differential Equations Volume 2 Abstract Hyperbolic Like Systems Over A Finite Time Horizon
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Author : Irena Lasiecka
language : en
Publisher: Cambridge University Press
Release Date : 2000-02-13
Control Theory For Partial Differential Equations Volume 2 Abstract Hyperbolic Like Systems Over A Finite Time Horizon written by Irena Lasiecka and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-02-13 with Mathematics categories.
Originally published in 2000, this is the second volume of a comprehensive two-volume treatment of quadratic optimal control theory for partial differential equations over a finite or infinite time horizon, and related differential (integral) and algebraic Riccati equations. Both continuous theory and numerical approximation theory are included. The authors use an abstract space, operator theoretic approach, which is based on semigroups methods, and which unifies across a few basic classes of evolution. The various abstract frameworks are motivated by, and ultimately directed to, partial differential equations with boundary/point control. Volume 2 is focused on the optimal control problem over a finite time interval for hyperbolic dynamical systems. A few abstract models are considered, each motivated by a particular canonical hyperbolic dynamics. It presents numerous fascinating results. These volumes will appeal to graduate students and researchers in pure and applied mathematics and theoretical engineering with an interest in optimal control problems.
Methods Of Mathematical Physics Volume 2
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Author : Richard Courant
language : en
Publisher: John Wiley & Sons
Release Date : 2024-11-12
Methods Of Mathematical Physics Volume 2 written by Richard Courant and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-12 with Science categories.
Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's final revision of 1961.
First Order Partial Differential Equations
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Author : Hyun-Ku Rhee
language : en
Publisher:
Release Date : 1986
First Order Partial Differential Equations written by Hyun-Ku Rhee and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Differential equations, Partial categories.
Biological N System With Global Stability
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Author : LINFAN MAO
language : en
Publisher: Infinite Study
Release Date :
Biological N System With Global Stability written by LINFAN MAO and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
The main purpose of this paper is to characterize the biological behavior of such systems with global stability by a combinatorial approach, i.e., establish the relationship between solvable subsystems of a biological n-system with Eulerian subgraphs of labeling bi-digraph.
The Art Of Modeling In Science And Engineering With Mathematica
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Author : Diran Basmadjian
language : en
Publisher: CRC Press
Release Date : 2006-08-18
The Art Of Modeling In Science And Engineering With Mathematica written by Diran Basmadjian and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-18 with Mathematics categories.
Thoroughly revised and updated, The Art of Modeling in Science and Engineering with Mathematica, Second Edition explores the mathematical tools and procedures used in modeling based on the laws of conservation of mass, energy, momentum, and electrical charge. The authors have culled and consolidated the best from the first edition and
Engineering Mathematics Volume I For 1st Semester Of Jntu Kakinada
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Author : Iyenger T.K.V./ Gandhi, Krishna B./ Ranganatham S. & Prasad M.V.S.S.N.
language : en
Publisher: S. Chand Publishing
Release Date :
Engineering Mathematics Volume I For 1st Semester Of Jntu Kakinada written by Iyenger T.K.V./ Gandhi, Krishna B./ Ranganatham S. & Prasad M.V.S.S.N. and has been published by S. Chand Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Engineering Mathematic
Calculus Of Variations Ii
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Author : Mariano Giaquinta
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Calculus Of Variations Ii written by Mariano Giaquinta and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
This book describes the classical aspects of the variational calculus which are of interest to analysts, geometers and physicists alike. Volume 1 deals with the for mal apparatus of the variational calculus and with nonparametric field theory, whereas Volume 2 treats parametric variational problems as weIl as Hamilton Jacobi theory and the classical theory of partial differential equations of first order. In a subsequent treatise we shall describe developments arising from Hilbert's 19th and 20th problems, especially direct methods and regularity theory. Of the classical variational calculus we have particularly emphasized the often neglected theory of inner variations, i. e. of variations of the independent variables, which is a source of useful information such as monotonicity for mulas, conformality relations and conservation laws. The combined variation of dependent and independent variables leads to the general conservation laws of Emmy Noether, an important tool in exploitingsymmetries. Other parts of this volume deal with Legendre-Jacobi theory and with field theories. In particular we give a detailed presentation of one-dimensional field theory for non para metric and parametric integrals and its relations to Hamilton-Jacobi theory, geometrieal optics and point mechanics. Moreover we discuss various ways of exploiting the notion of convexity in the calculus of variations, and field theory is certainly the most subtle method to make use of convexity. We also stress the usefulness of the concept of a null Lagrangian which plays an important role in several instances.