Author: Jean-Paul Kauthen
Publisher:
ISBN:
Category : Collocation methods
Languages : en
Pages : 226
Book Description
Theoretical and Computational Aspects of Continuous Time Collocation Methods for Volterra-type Integral and Partial Integro-differential Equations
Collocation Methods for Volterra Integral and Related Functional Differential Equations
Author: Hermann Brunner
Publisher: Cambridge University Press
ISBN: 9780521806152
Category : Mathematics
Languages : en
Pages : 620
Book Description
Publisher Description
Publisher: Cambridge University Press
ISBN: 9780521806152
Category : Mathematics
Languages : en
Pages : 620
Book Description
Publisher Description
The Journal of Integral Equations and Applications
Author:
Publisher:
ISBN:
Category : Integral equations
Languages : en
Pages : 574
Book Description
Publisher:
ISBN:
Category : Integral equations
Languages : en
Pages : 574
Book Description
Space-Time Methods
Author: Ulrich Langer
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110548488
Category : Mathematics
Languages : en
Pages : 261
Book Description
This volume provides an introduction to modern space-time discretization methods such as finite and boundary elements and isogeometric analysis for time-dependent initial-boundary value problems of parabolic and hyperbolic type. Particular focus is given on stable formulations, error estimates, adaptivity in space and time, efficient solution algorithms, parallelization of the solution pipeline, and applications in science and engineering.
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110548488
Category : Mathematics
Languages : en
Pages : 261
Book Description
This volume provides an introduction to modern space-time discretization methods such as finite and boundary elements and isogeometric analysis for time-dependent initial-boundary value problems of parabolic and hyperbolic type. Particular focus is given on stable formulations, error estimates, adaptivity in space and time, efficient solution algorithms, parallelization of the solution pipeline, and applications in science and engineering.
Stability of the Spline Collocation Method for Volterra Integro-differential Equations
Author: Mare Tarang
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 98
Book Description
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 98
Book Description
Generalized Collocation Methods
Author: Nicola Bellomo
Publisher: Springer Science & Business Media
ISBN: 0817646108
Category : Mathematics
Languages : en
Pages : 206
Book Description
Analysis of nonlinear models and problems is crucial in the application of mathematics to real-world problems. This book approaches this important topic by focusing on collocation methods for solving nonlinear evolution equations and applying them to a variety of mathematical problems. These include wave motion models, hydrodynamic models of vehicular traffic flow, convection-diffusion models, reaction-diffusion models, and population dynamics models. The book may be used as a textbook for graduate courses on collocation methods, nonlinear modeling, and nonlinear differential equations. Examples and exercises are included in every chapter.
Publisher: Springer Science & Business Media
ISBN: 0817646108
Category : Mathematics
Languages : en
Pages : 206
Book Description
Analysis of nonlinear models and problems is crucial in the application of mathematics to real-world problems. This book approaches this important topic by focusing on collocation methods for solving nonlinear evolution equations and applying them to a variety of mathematical problems. These include wave motion models, hydrodynamic models of vehicular traffic flow, convection-diffusion models, reaction-diffusion models, and population dynamics models. The book may be used as a textbook for graduate courses on collocation methods, nonlinear modeling, and nonlinear differential equations. Examples and exercises are included in every chapter.
Collocation Methods for Nonlinear Volterra Integro-differential Equations with Infinite Delay
Author: H. Brunner
Publisher:
ISBN:
Category :
Languages : en
Pages : 26
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 26
Book Description
Mathematical Reviews
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1574
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1574
Book Description
Analytical and Numerical Methods for Volterra Equations
Author: Peter Linz
Publisher: SIAM
ISBN: 9781611970852
Category : Mathematics
Languages : en
Pages : 240
Book Description
Presents an aspect of activity in integral equations methods for the solution of Volterra equations for those who need to solve real-world problems. Since there are few known analytical methods leading to closed-form solutions, the emphasis is on numerical techniques. The major points of the analytical methods used to study the properties of the solution are presented in the first part of the book. These techniques are important for gaining insight into the qualitative behavior of the solutions and for designing effective numerical methods. The second part of the book is devoted entirely to numerical methods. The author has chosen the simplest possible setting for the discussion, the space of real functions of real variables. The text is supplemented by examples and exercises.
Publisher: SIAM
ISBN: 9781611970852
Category : Mathematics
Languages : en
Pages : 240
Book Description
Presents an aspect of activity in integral equations methods for the solution of Volterra equations for those who need to solve real-world problems. Since there are few known analytical methods leading to closed-form solutions, the emphasis is on numerical techniques. The major points of the analytical methods used to study the properties of the solution are presented in the first part of the book. These techniques are important for gaining insight into the qualitative behavior of the solutions and for designing effective numerical methods. The second part of the book is devoted entirely to numerical methods. The author has chosen the simplest possible setting for the discussion, the space of real functions of real variables. The text is supplemented by examples and exercises.
Linear and Nonlinear Integral Equations
Author: Abdul-Majid Wazwaz
Publisher: Springer Science & Business Media
ISBN: 3642214495
Category : Mathematics
Languages : en
Pages : 639
Book Description
Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. Selected worked-through examples and exercises will guide readers through the text. Part II provides an extensive exposition on the nonlinear integral equations and their varied applications, presenting in an accessible manner a systematic treatment of ill-posed Fredholm problems, bifurcation points, and singular points. Selected applications are also investigated by using the powerful Padé approximants. This book is intended for scholars and researchers in the fields of physics, applied mathematics and engineering. It can also be used as a text for advanced undergraduate and graduate students in applied mathematics, science and engineering, and related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University in Chicago, Illinois, USA.
Publisher: Springer Science & Business Media
ISBN: 3642214495
Category : Mathematics
Languages : en
Pages : 639
Book Description
Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. Selected worked-through examples and exercises will guide readers through the text. Part II provides an extensive exposition on the nonlinear integral equations and their varied applications, presenting in an accessible manner a systematic treatment of ill-posed Fredholm problems, bifurcation points, and singular points. Selected applications are also investigated by using the powerful Padé approximants. This book is intended for scholars and researchers in the fields of physics, applied mathematics and engineering. It can also be used as a text for advanced undergraduate and graduate students in applied mathematics, science and engineering, and related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University in Chicago, Illinois, USA.