Author: William Leroy Hart
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Differential Equations and Implicit Functions in Infinitely Many Variables, a Dissertation Submitted... for the Degree of Doctor of Philosophy (department of Mathematics), by William Leroy Hart
Differential Equations and Implicit Functions in Infinitely Many Variables ...
Author: William Le Roy Hart
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 44
Book Description
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 44
Book Description
Differential Equations and Implicit Functions in Infinitely Many Variables
On the Solution of Certain Types of Linear Differential Equations in Infinitely Many Variables ...
Author: Webster Godman Simon
Publisher:
ISBN:
Category : Differential equations, Linear
Languages : en
Pages : 32
Book Description
Publisher:
ISBN:
Category : Differential equations, Linear
Languages : en
Pages : 32
Book Description
Partial Differential Equations: Classical Theory with a Modern Touch
Author: A. K. Nandakumaran
Publisher: Cambridge University Press
ISBN: 1108839800
Category : Mathematics
Languages : en
Pages : 377
Book Description
A valuable guide covering the key principles of partial differential equations and their real world applications.
Publisher: Cambridge University Press
ISBN: 1108839800
Category : Mathematics
Languages : en
Pages : 377
Book Description
A valuable guide covering the key principles of partial differential equations and their real world applications.
Numerical Time-Dependent Partial Differential Equations for Scientists and Engineers
Author: Moysey Brio
Publisher: Academic Press
ISBN: 0080917046
Category : Mathematics
Languages : en
Pages : 306
Book Description
It is the first text that in addition to standard convergence theory treats other necessary ingredients for successful numerical simulations of physical systems encountered by every practitioner. The book is aimed at users with interests ranging from application modeling to numerical analysis and scientific software development. It is strongly influenced by the authors research in in space physics, electrical and optical engineering, applied mathematics, numerical analysis and professional software development. The material is based on a year-long graduate course taught at the University of Arizona since 1989. The book covers the first two-semesters of a three semester series. The second semester is based on a semester-long project, while the third semester requirement consists of a particular methods course in specific disciplines like computational fluid dynamics, finite element method in mechanical engineering, computational physics, biology, chemistry, photonics, etc.The first three chapters focus on basic properties of partial differential equations, including analysis of the dispersion relation, symmetries, particular solutions and instabilities of the PDEs; methods of discretization and convergence theory for initial value problems. The goal is to progress from observations of simple numerical artifacts like diffusion, damping, dispersion, and anisotropies to their analysis and management technique, as it is not always possible to completely eliminate them.In the second part of the book we cover topics for which there are only sporadic theoretical results, while they are an integral part and often the most important part for successful numerical simulation. We adopt a more heuristic and practical approach using numerical methods of investigation and validation. The aim is teach students subtle key issues in order to separate physics from numerics. The following topics are addressed: Implementation of transparent and absorbing boundary conditions; Practical stability analysis in the presence of the boundaries and interfaces; Treatment of problems with different temporal/spatial scales either explicit or implicit; preservation of symmetries and additional constraints; physical regularization of singularities; resolution enhancement using adaptive mesh refinement and moving meshes. - Self contained presentation of key issues in successful numerical simulation - Accessible to scientists and engineers with diverse background - Provides analysis of the dispersion relation, symmetries, particular solutions and instabilities of the partial differential equations
Publisher: Academic Press
ISBN: 0080917046
Category : Mathematics
Languages : en
Pages : 306
Book Description
It is the first text that in addition to standard convergence theory treats other necessary ingredients for successful numerical simulations of physical systems encountered by every practitioner. The book is aimed at users with interests ranging from application modeling to numerical analysis and scientific software development. It is strongly influenced by the authors research in in space physics, electrical and optical engineering, applied mathematics, numerical analysis and professional software development. The material is based on a year-long graduate course taught at the University of Arizona since 1989. The book covers the first two-semesters of a three semester series. The second semester is based on a semester-long project, while the third semester requirement consists of a particular methods course in specific disciplines like computational fluid dynamics, finite element method in mechanical engineering, computational physics, biology, chemistry, photonics, etc.The first three chapters focus on basic properties of partial differential equations, including analysis of the dispersion relation, symmetries, particular solutions and instabilities of the PDEs; methods of discretization and convergence theory for initial value problems. The goal is to progress from observations of simple numerical artifacts like diffusion, damping, dispersion, and anisotropies to their analysis and management technique, as it is not always possible to completely eliminate them.In the second part of the book we cover topics for which there are only sporadic theoretical results, while they are an integral part and often the most important part for successful numerical simulation. We adopt a more heuristic and practical approach using numerical methods of investigation and validation. The aim is teach students subtle key issues in order to separate physics from numerics. The following topics are addressed: Implementation of transparent and absorbing boundary conditions; Practical stability analysis in the presence of the boundaries and interfaces; Treatment of problems with different temporal/spatial scales either explicit or implicit; preservation of symmetries and additional constraints; physical regularization of singularities; resolution enhancement using adaptive mesh refinement and moving meshes. - Self contained presentation of key issues in successful numerical simulation - Accessible to scientists and engineers with diverse background - Provides analysis of the dispersion relation, symmetries, particular solutions and instabilities of the partial differential equations
Partial Differential Equations
Author: Avner Friedman
Publisher: Courier Corporation
ISBN: 0486469190
Category : Mathematics
Languages : en
Pages : 276
Book Description
Largely self-contained, this three-part treatment focuses on elliptic and evolution equations, concluding with a series of independent topics directly related to the methods and results of the preceding sections. 1969 edition.
Publisher: Courier Corporation
ISBN: 0486469190
Category : Mathematics
Languages : en
Pages : 276
Book Description
Largely self-contained, this three-part treatment focuses on elliptic and evolution equations, concluding with a series of independent topics directly related to the methods and results of the preceding sections. 1969 edition.
Numerical Methods for Partial Differential Equations
Author: William F. Ames
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 316
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 316
Book Description
Differential Equations of Applied Mathematics
Author: G. F. D. Duff
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 450
Book Description
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 450
Book Description
Partial Differential Equations for Scientists and Engineers
Author: Geoffrey Stephenson
Publisher: Longman Publishing Group
ISBN:
Category : Mathematics
Languages : en
Pages : 180
Book Description
Publisher: Longman Publishing Group
ISBN:
Category : Mathematics
Languages : en
Pages : 180
Book Description