3 edition of **Constructive and computational methods for differential and integral equations** found in the catalog.

- 379 Want to read
- 6 Currently reading

Published
**1974**
by Springer-Verlag in Berlin, New York
.

Written in English

- Differential equations -- Numerical solutions -- Congresses.,
- Differential equations, Partial -- Numerical solutions -- Congresses.,
- Integral equations -- Numerical solutions -- Congresses.

**Edition Notes**

Statement | edited by D. L. Colton and R. P. Gilbert. |

Series | Lecture notes in mathematics ; 430, Lecture notes in mathematics (Springer-Verlag) ;, 430. |

Contributions | Colton, David L., 1943- ed., Gilbert, Robert P., 1932- ed., Indiana University, Bloomington. Research Center for Applied Science. |

Classifications | |
---|---|

LC Classifications | QA3 .L28 no. 430, QA372 .L28 no. 430 |

The Physical Object | |

Pagination | vi, 476 p. ; |

Number of Pages | 476 |

ID Numbers | |

Open Library | OL5062852M |

ISBN 10 | 0387070214 |

LC Control Number | 74028189 |

The method reduces the system of integral equations to a linear system of ordinary differential equations. After constructing boundary conditions, this system reduces to a system of equations that can be solved easily with any of the usual methods. Finally, for showing the efficiency of the method we use some numerical examples. The purpose of this book is threefold: to be used for graduate courses on integral equations; to be a reference for researchers; and to describe methods of application of the theory. The author emphasizes the role of Volterra equations as a unifying tool in the study of functional equations, and investigates the relation between abstract.

In this paper, we will use the successive approximation method for solving Fredholm integral equation of the second kind using Maple By means of this method, an algorithm is successfully established for solving the non-linear Fredholm integral equation of the second kind. Finally, several examples are presented to illustrate the application of the algorithm and . Spivak is a good book for learning calculus on manifolds (mostly, integral calculus as I recall) for its own sake, but your question was about differential equations, right? Arnold's "Mathematical methods" really shows you where it comes from and where it leads (it's been a while since I opened it, but that's my recollection).

In this book, the theory of the complexity of the solution to differential and integral equations is developed. The relationship between the worst case setting and other (sometimes more tractable) related settings, such as the average case, probabilistic, asymptotic, and randomized settings, is also discussed. Lecture Notes on Numerical Analysis by Peter J. Olver. This lecture note explains the following topics: Computer Arithmetic, Numerical Solution of Scalar Equations, Matrix Algebra, Gaussian Elimination, Inner Products and Norms, Eigenvalues and Singular Values, Iterative Methods for Linear Systems, Numerical Computation of Eigenvalues, Numerical Solution of Algebraic .

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Constructive and Computational Methods for Differential and Integral Equations Symposium, Indiana University February 17–20, Constructive and Computational Methods for Differential and Integral Equations por D.L.

Colton,disponible en Book Depository con envío gratis. Volterra equations, although attractive to treat theoretically, arise less often in practical problems and so have been given less emphasis.

Some knowledge of numerical methods and linear algebra is assumed, but the book includes introductory sections on numerical quadrature and function space : L.

Delves, J. Mohamed. "[T]his book gives a rather comprehensive treatment of collocation methods and its application to a wide class of functional equations.

Even though it is centred on the use of collocation, this book also provides an introductory survey on theoretical and practical problems related to several kinds of Volterra Functional Equations and their numerical integration.

O'Malley R.E. () Boundary layer methods for ordinary differential equations with small coefficients multiplying the highest derivatives. In: Colton D.L., Gilbert R.P.

(eds) Constructive and Computational Methods for Differential and Integral Equations. Lecture Notes in Mathematics, vol Springer, Berlin, Heidelberg.

First Online 26 Cited by: 3. Constructive and Computational Methods for Differential and Integral Equations. () Solving partial differential equations using ILLIAC IV. In: Colton D.L., Gilbert R.P.

(eds) Constructive and Computational Methods for Differential and Integral Equations. Lecture Notes in Mathematics, vol Springer, Berlin, Heidelberg. with the essential theoretical and computational tools that make it possible to use diﬀerential equations in mathematical modeling in science and engineering eﬀectively.

The backbone of the book is a new uniﬁed presentation of numerical solution techniques for diﬀerential equations based on Galerkin methods. Walter W. () The line method for parabolic differential equations problems in boundary layer theory and existence of periodic solutions. In: Colton D.L., Gilbert R.P.

(eds) Constructive and Computational Methods for Differential and Integral Equations. Lecture Notes in Mathematics, vol Cite this paper as: Colton D.

() Integral operators for parabolic equations and their application. In: Colton D.L., Gilbert R.P. (eds) Constructive and Computational Methods for Differential and Integral Equations.

A number of integral equations are considered which are encountered in various ﬁelds of mechanics and theoretical physics (elasticity, plasticity, hydrodynamics, heat and mass transfer, electrodynamics, etc.). The second part of the book presents exact, approximate analytical and numerical methods for solving linear and nonlinear integral.

Multidimensional interpolation is commonly encountered in numerical methods such as the Finite Element Method (FEM) the Finite Volume Method (FVM) used for solving partial differential is a general practice in numerical methods to discretize a two (three) dimensional domain into large number of small areas (volumes) known as elements in FEM volumes in FVM.

Beginning with an introduction to elementary solution methods, the book gives readers a clear explanation of exact techniques for ordinary and partial difference equations.

The informal presentation is suitable for anyone who is familiar with standard differential equation methods. No prior knowledge of difference equations or symmetry is assumed. Constructive and computational methods for differential and integral equations: Symposium, Indiana University, February(Lecture notes in mathematics ; ) Colton, D.L.

& R.P. Gilbert (Edited by). Symposium on Constructive and Computational Methods for Differential and Integral Equations ( Indiana University, Bloomington). Constructive and computational methods for differential and integral equations.

Berlin ; New York: Springer-Verlag, (DLC) (OCoLC) Material Type: Conference publication, Document, Internet. Get this from a library. Constructive and computational methods for differential and integral equations: symposium, Indiana University, February[David L Colton; Robert P Gilbert; Symposium on Constructive and Computational Methods for Differential and Integral Equations.; Indiana University, Bloomington.

Research Center for Applied Science.]. ordinary differential equations, partial differential equations, Laplace transforms, Fourier transforms, Hilbert transforms, analytic functions of complex variables and contour integrations are expected on the part of the reader.

The book deals with linear integral equations, that is, equations involving an. Symposium on Constructive and Computational Methods for Differential and Integral Equations ( Indiana University, Bloomington).

Constructive and computational methods for differential and integral equations. Berlin ; New York: Springer-Verlag, (OCoLC) Material Type: Conference publication, Internet resource: Document Type. The book can be used as a database of test problems for numerical and approximate methods for solving linear and nonlinear integral equations.

Discover. Get this from a library. Constructive and Computational Methods for Differential and Integral Equations: Symposium, Indiana University February[David Lem Colton; Robert Pertsch Gilbert].

The book is divided into three parts. The first considers linear theory and the second deals with quasilinear equations and existence problems for nonlinear equations, giving some general asymptotic results.

Part III is devoted to frequency domain methods in the study of nonlinear equations. The EqWorld website presents extensive information on solutions to various classes of ordinary differential equations, partial differential equations, integral equations, functional equations, and other mathematical equations.

The book of Reid Reproducing kernel theory has significant implementations in integral equations, differential equations, probability and statistics, F.Z. Geng, X.M. LiA new method for Riccati differential equations based on reproducing Kernel and quasilinearization methods. Abstr. Appl. Anal. (), p.

8 pages.Nice proofs of convergence and asymptotic expansions are known for one-step methods for ordinary differential equations. It is shown that these proofs can be generalized in a natural way to “extended” one-step methods for Volterra integral equations of the second kind.