Author: P. L. Sachdev
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 944
Book Description
This book offers a collection of approximately 2,500 nonlinear ordinary differential equations and includes the equation, the answer or important results, and references. Nonlinear phenomena have become a dominant theme in the sciences and this thoroughly up-to-date book is a useful research tool for applied mathematicians and engineers.
A Compendium on Nonlinear Ordinary Differential Equations
Author: P. L. Sachdev
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 944
Book Description
This book offers a collection of approximately 2,500 nonlinear ordinary differential equations and includes the equation, the answer or important results, and references. Nonlinear phenomena have become a dominant theme in the sciences and this thoroughly up-to-date book is a useful research tool for applied mathematicians and engineers.
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 944
Book Description
This book offers a collection of approximately 2,500 nonlinear ordinary differential equations and includes the equation, the answer or important results, and references. Nonlinear phenomena have become a dominant theme in the sciences and this thoroughly up-to-date book is a useful research tool for applied mathematicians and engineers.
A Compendium of Partial Differential Equation Models
Author: William E. Schiesser
Publisher: Cambridge University Press
ISBN: 0521519861
Category : Computers
Languages : en
Pages : 491
Book Description
Presents numerical methods and computer code in Matlab for the solution of ODEs and PDEs with detailed line-by-line discussion.
Publisher: Cambridge University Press
ISBN: 0521519861
Category : Computers
Languages : en
Pages : 491
Book Description
Presents numerical methods and computer code in Matlab for the solution of ODEs and PDEs with detailed line-by-line discussion.
Nonlinear Ordinary Differential Equations
Author: Dominic Jordan
Publisher: Oxford University Press
ISBN: 0199208247
Category : Mathematics
Languages : en
Pages : 541
Book Description
This is a thoroughly updated and expanded 4th edition of the classic text Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith. Including numerous worked examples and diagrams, further exercises have been incorporated into the text and answers are provided at the back of the book. Topics include phase plane analysis, nonlinear damping, small parameter expansions and singular perturbations, stability, Liapunov methods, Poincare sequences, homoclinicbifurcation and Liapunov exponents.Over 500 end-of-chapter problems are also included and as an additional resource fully-worked solutions to these are provided in the accompanying text Nonlinear Ordinary Differential Equations: Problems and Solutions, (OUP, 2007).Both texts cover a wide variety of applications whilst keeping mathematical prequisites to a minimum making these an ideal resource for students and lecturers in engineering, mathematics and the sciences.
Publisher: Oxford University Press
ISBN: 0199208247
Category : Mathematics
Languages : en
Pages : 541
Book Description
This is a thoroughly updated and expanded 4th edition of the classic text Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith. Including numerous worked examples and diagrams, further exercises have been incorporated into the text and answers are provided at the back of the book. Topics include phase plane analysis, nonlinear damping, small parameter expansions and singular perturbations, stability, Liapunov methods, Poincare sequences, homoclinicbifurcation and Liapunov exponents.Over 500 end-of-chapter problems are also included and as an additional resource fully-worked solutions to these are provided in the accompanying text Nonlinear Ordinary Differential Equations: Problems and Solutions, (OUP, 2007).Both texts cover a wide variety of applications whilst keeping mathematical prequisites to a minimum making these an ideal resource for students and lecturers in engineering, mathematics and the sciences.
Linear Ordinary Differential Equations
Author: Earl A. Coddington
Publisher: SIAM
ISBN: 9781611971439
Category : Mathematics
Languages : en
Pages : 353
Book Description
Linear Ordinary Differential Equations, a text for advanced undergraduate or beginning graduate students, presents a thorough development of the main topics in linear differential equations. A rich collection of applications, examples, and exercises illustrates each topic. The authors reinforce students' understanding of calculus, linear algebra, and analysis while introducing the many applications of differential equations in science and engineering. Three recurrent themes run through the book. The methods of linear algebra are applied directly to the analysis of systems with constant or periodic coefficients and serve as a guide in the study of eigenvalues and eigenfunction expansions. The use of power series, beginning with the matrix exponential function leads to the special functions solving classical equations. Techniques from real analysis illuminate the development of series solutions, existence theorems for initial value problems, the asymptotic behavior solutions, and the convergence of eigenfunction expansions.
Publisher: SIAM
ISBN: 9781611971439
Category : Mathematics
Languages : en
Pages : 353
Book Description
Linear Ordinary Differential Equations, a text for advanced undergraduate or beginning graduate students, presents a thorough development of the main topics in linear differential equations. A rich collection of applications, examples, and exercises illustrates each topic. The authors reinforce students' understanding of calculus, linear algebra, and analysis while introducing the many applications of differential equations in science and engineering. Three recurrent themes run through the book. The methods of linear algebra are applied directly to the analysis of systems with constant or periodic coefficients and serve as a guide in the study of eigenvalues and eigenfunction expansions. The use of power series, beginning with the matrix exponential function leads to the special functions solving classical equations. Techniques from real analysis illuminate the development of series solutions, existence theorems for initial value problems, the asymptotic behavior solutions, and the convergence of eigenfunction expansions.
Nonlinear Differential Equations of Monotone Types in Banach Spaces
Author: Viorel Barbu
Publisher: Springer Science & Business Media
ISBN: 1441955429
Category : Mathematics
Languages : en
Pages : 283
Book Description
This monograph is concerned with the basic results on Cauchy problems associated with nonlinear monotone operators in Banach spaces with applications to partial differential equations of evolutive type. It focuses on major results in recent decades.
Publisher: Springer Science & Business Media
ISBN: 1441955429
Category : Mathematics
Languages : en
Pages : 283
Book Description
This monograph is concerned with the basic results on Cauchy problems associated with nonlinear monotone operators in Banach spaces with applications to partial differential equations of evolutive type. It focuses on major results in recent decades.
Recent Developments in the Solution of Nonlinear Differential Equations
Author: Bruno Carpentieri
Publisher: BoD – Books on Demand
ISBN: 1839686561
Category : Mathematics
Languages : en
Pages : 374
Book Description
Nonlinear differential equations are ubiquitous in computational science and engineering modeling, fluid dynamics, finance, and quantum mechanics, among other areas. Nowadays, solving challenging problems in an industrial setting requires a continuous interplay between the theory of such systems and the development and use of sophisticated computational methods that can guide and support the theoretical findings via practical computer simulations. Owing to the impressive development in computer technology and the introduction of fast numerical methods with reduced algorithmic and memory complexity, rigorous solutions in many applications have become possible. This book collects research papers from leading world experts in the field, highlighting ongoing trends, progress, and open problems in this critically important area of mathematics.
Publisher: BoD – Books on Demand
ISBN: 1839686561
Category : Mathematics
Languages : en
Pages : 374
Book Description
Nonlinear differential equations are ubiquitous in computational science and engineering modeling, fluid dynamics, finance, and quantum mechanics, among other areas. Nowadays, solving challenging problems in an industrial setting requires a continuous interplay between the theory of such systems and the development and use of sophisticated computational methods that can guide and support the theoretical findings via practical computer simulations. Owing to the impressive development in computer technology and the introduction of fast numerical methods with reduced algorithmic and memory complexity, rigorous solutions in many applications have become possible. This book collects research papers from leading world experts in the field, highlighting ongoing trends, progress, and open problems in this critically important area of mathematics.
Nonlinear Ordinary Differential Equations
Author: Dominic William Jordan
Publisher: Oxford University Press, USA
ISBN: 9780198565628
Category : Mathematics
Languages : en
Pages : 564
Book Description
This edition has been completely revised to bring it into line with current teaching, including an expansion of the material on bifurcations and chaos.
Publisher: Oxford University Press, USA
ISBN: 9780198565628
Category : Mathematics
Languages : en
Pages : 564
Book Description
This edition has been completely revised to bring it into line with current teaching, including an expansion of the material on bifurcations and chaos.
Basic Theory of Ordinary Differential Equations
Author: Po-Fang Hsieh
Publisher: Springer Science & Business Media
ISBN: 1461215064
Category : Mathematics
Languages : en
Pages : 480
Book Description
Providing readers with the very basic knowledge necessary to begin research on differential equations with professional ability, the selection of topics here covers the methods and results that are applicable in a variety of different fields. The book is divided into four parts. The first covers fundamental existence, uniqueness, smoothness with respect to data, and nonuniqueness. The second part describes the basic results concerning linear differential equations, while the third deals with nonlinear equations. In the last part the authors write about the basic results concerning power series solutions. Each chapter begins with a brief discussion of its contents and history, and hints and comments for many problems are given throughout. With 114 illustrations and 206 exercises, the book is suitable for a one-year graduate course, as well as a reference book for research mathematicians.
Publisher: Springer Science & Business Media
ISBN: 1461215064
Category : Mathematics
Languages : en
Pages : 480
Book Description
Providing readers with the very basic knowledge necessary to begin research on differential equations with professional ability, the selection of topics here covers the methods and results that are applicable in a variety of different fields. The book is divided into four parts. The first covers fundamental existence, uniqueness, smoothness with respect to data, and nonuniqueness. The second part describes the basic results concerning linear differential equations, while the third deals with nonlinear equations. In the last part the authors write about the basic results concerning power series solutions. Each chapter begins with a brief discussion of its contents and history, and hints and comments for many problems are given throughout. With 114 illustrations and 206 exercises, the book is suitable for a one-year graduate course, as well as a reference book for research mathematicians.
Applied Mechanics Reviews
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 628
Book Description
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 628
Book Description
Nonlinear Partial Differential Equations
Author: Mi-Ho Giga
Publisher: Springer Science & Business Media
ISBN: 0817646515
Category : Mathematics
Languages : en
Pages : 307
Book Description
This work will serve as an excellent first course in modern analysis. The main focus is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. This textbook will be an excellent resource for self-study or classroom use.
Publisher: Springer Science & Business Media
ISBN: 0817646515
Category : Mathematics
Languages : en
Pages : 307
Book Description
This work will serve as an excellent first course in modern analysis. The main focus is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. This textbook will be an excellent resource for self-study or classroom use.