Author: Kendall E. Atkinson
Publisher: Cambridge University Press
ISBN: 0521583918
Category : Mathematics
Languages : en
Pages : 572
Book Description
This book provides an extensive introduction to the numerical solution of a large class of integral equations.
The Numerical Solution of Integral Equations of the Second Kind
Author: Kendall E. Atkinson
Publisher: Cambridge University Press
ISBN: 0521583918
Category : Mathematics
Languages : en
Pages : 572
Book Description
This book provides an extensive introduction to the numerical solution of a large class of integral equations.
Publisher: Cambridge University Press
ISBN: 0521583918
Category : Mathematics
Languages : en
Pages : 572
Book Description
This book provides an extensive introduction to the numerical solution of a large class of integral equations.
The Numerical Solution of Fredholm Integral Equations of the First Kind
Author: John T. Jefferies
Publisher:
ISBN:
Category : Integral equations
Languages : en
Pages : 26
Book Description
Publisher:
ISBN:
Category : Integral equations
Languages : en
Pages : 26
Book Description
On the Numerical Solution of Fredholm Integral Equations of the First Kind
Author: Grace Wahba
Publisher:
ISBN:
Category :
Languages : en
Pages : 61
Book Description
The report is concerned with the numerical solution of a Fredholm integral equation of the first kind. Two methods in the literature seem to have resulted in satisfactory numerical examples. The first method is called the method of regularization of Tihonov and was studied experimentally by Tihonov and Glasko. The second method was discussed by Strand and Westwater and is called 'statistical estimation' of the solution. Both of these methods can be embedded in the general theory of the approximation of continuous linear functionals in a reproducing kernel Hilbert space. The overall purpose of this note is to demonstrate this statement in some considerable practical detail.
Publisher:
ISBN:
Category :
Languages : en
Pages : 61
Book Description
The report is concerned with the numerical solution of a Fredholm integral equation of the first kind. Two methods in the literature seem to have resulted in satisfactory numerical examples. The first method is called the method of regularization of Tihonov and was studied experimentally by Tihonov and Glasko. The second method was discussed by Strand and Westwater and is called 'statistical estimation' of the solution. Both of these methods can be embedded in the general theory of the approximation of continuous linear functionals in a reproducing kernel Hilbert space. The overall purpose of this note is to demonstrate this statement in some considerable practical detail.
The Numerical Solution of Fredholm Integral Equations of the First Kind
The numerical solution of Fredholm integral equations of the first kind
The Numerical Solution of Fredholm Integral Equations of the First Kind
Author: J. Wrigley
Publisher:
ISBN:
Category : Fredholm equations
Languages : en
Pages : 262
Book Description
Publisher:
ISBN:
Category : Fredholm equations
Languages : en
Pages : 262
Book Description
The Numerical Solution of Fredholm Integral Equations of the First Kind
Author: Jack Wrigley
Publisher:
ISBN:
Category : Fredholm equations
Languages : en
Pages : 186
Book Description
Publisher:
ISBN:
Category : Fredholm equations
Languages : en
Pages : 186
Book Description
Numerical Solution of Fredholm Integral Equations of the First Kind
Author: Bazett Annesley Lewis
Publisher:
ISBN:
Category : Fredholm equations
Languages : en
Pages : 60
Book Description
Publisher:
ISBN:
Category : Fredholm equations
Languages : en
Pages : 60
Book Description
The Numerical Solution of Fredholm Integral Equations of the First Kind
Author: John T. Jefferies
Publisher:
ISBN:
Category : Integral equations
Languages : en
Pages : 7
Book Description
Publisher:
ISBN:
Category : Integral equations
Languages : en
Pages : 7
Book Description
Numerical Solution of Integral Equations
Author: Michael A. Golberg
Publisher: Springer Science & Business Media
ISBN: 1489925937
Category : Mathematics
Languages : en
Pages : 428
Book Description
In 1979, I edited Volume 18 in this series: Solution Methods for Integral Equations: Theory and Applications. Since that time, there has been an explosive growth in all aspects of the numerical solution of integral equations. By my estimate over 2000 papers on this subject have been published in the last decade, and more than 60 books on theory and applications have appeared. In particular, as can be seen in many of the chapters in this book, integral equation techniques are playing an increas ingly important role in the solution of many scientific and engineering problems. For instance, the boundary element method discussed by Atkinson in Chapter 1 is becoming an equal partner with finite element and finite difference techniques for solving many types of partial differential equations. Obviously, in one volume it would be impossible to present a complete picture of what has taken place in this area during the past ten years. Consequently, we have chosen a number of subjects in which significant advances have been made that we feel have not been covered in depth in other books. For instance, ten years ago the theory of the numerical solution of Cauchy singular equations was in its infancy. Today, as shown by Golberg and Elliott in Chapters 5 and 6, the theory of polynomial approximations is essentially complete, although many details of practical implementation remain to be worked out.
Publisher: Springer Science & Business Media
ISBN: 1489925937
Category : Mathematics
Languages : en
Pages : 428
Book Description
In 1979, I edited Volume 18 in this series: Solution Methods for Integral Equations: Theory and Applications. Since that time, there has been an explosive growth in all aspects of the numerical solution of integral equations. By my estimate over 2000 papers on this subject have been published in the last decade, and more than 60 books on theory and applications have appeared. In particular, as can be seen in many of the chapters in this book, integral equation techniques are playing an increas ingly important role in the solution of many scientific and engineering problems. For instance, the boundary element method discussed by Atkinson in Chapter 1 is becoming an equal partner with finite element and finite difference techniques for solving many types of partial differential equations. Obviously, in one volume it would be impossible to present a complete picture of what has taken place in this area during the past ten years. Consequently, we have chosen a number of subjects in which significant advances have been made that we feel have not been covered in depth in other books. For instance, ten years ago the theory of the numerical solution of Cauchy singular equations was in its infancy. Today, as shown by Golberg and Elliott in Chapters 5 and 6, the theory of polynomial approximations is essentially complete, although many details of practical implementation remain to be worked out.