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Author: John J.H. Miller
Publisher: Elsevier
ISBN: 032314134X
Category : Mathematics
Languages : en
Pages : 280
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Book Description
Topics in Numerical Analysis II contains in complete form, the papers given by the invited speakers to the Conference on Numerical Analysis held under the auspices of the National Committee for Mathematics of the Royal Irish Academy at University College, Dublin from 29th July to 2nd August, 1974. In addition, the titles of the contributed papers are listed together with the names and addresses of the authors who presented them at the conference. This book is divided into 20 chapters that present the papers in their entirety. They discuss such topics as applications of approximation theory to numerical analysis; interior regularity and local convergence of Galerkin finite element approximations for elliptic equations; and numerical estimates for the error of Gauss-Jacobi quadrature formulae. Some remarks on the unified treatment of elementary functions by microprogramming; application of finite difference methods to exploration seismology; and variable coefficient multistep methods for ordinary differential equations applied to parabolic partial differential equations are also presented. Other chapters cover realistic estimates for generic constants in multivariate pointwise approximation; matching of essential boundary conditions in the finite element method; and collocation, difference equations, and stitched function representations. This book will be of interest to practitioners in the fields of mathematics and computer science.
Author: John J.H. Miller
Publisher: Elsevier
ISBN: 032314134X
Category : Mathematics
Languages : en
Pages : 280
Get Book
Book Description
Topics in Numerical Analysis II contains in complete form, the papers given by the invited speakers to the Conference on Numerical Analysis held under the auspices of the National Committee for Mathematics of the Royal Irish Academy at University College, Dublin from 29th July to 2nd August, 1974. In addition, the titles of the contributed papers are listed together with the names and addresses of the authors who presented them at the conference. This book is divided into 20 chapters that present the papers in their entirety. They discuss such topics as applications of approximation theory to numerical analysis; interior regularity and local convergence of Galerkin finite element approximations for elliptic equations; and numerical estimates for the error of Gauss-Jacobi quadrature formulae. Some remarks on the unified treatment of elementary functions by microprogramming; application of finite difference methods to exploration seismology; and variable coefficient multistep methods for ordinary differential equations applied to parabolic partial differential equations are also presented. Other chapters cover realistic estimates for generic constants in multivariate pointwise approximation; matching of essential boundary conditions in the finite element method; and collocation, difference equations, and stitched function representations. This book will be of interest to practitioners in the fields of mathematics and computer science.
Author: John James Henry Miller
Publisher:
ISBN:
Category : Numerical analysis
Languages : en
Pages : 376
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Book Description
Some Results on the Stability and Instability of the Backward Differentiation Methods with Non-uniform Time Steps / R. K. Brayton and C. C. Conley -- Order Conditions for a General Class of Numerical Methods for Ordinary Differential Equations / J. C. Butcher -- Hermitean Methods for Initial Value Problems / L. Collatz -- On the Stability of Difference Schemes for Some Non-stationary Problems / E.G. D'jakonov -- Some Superconvergence Results for Galerkin methods for the Approximate Solution of Two Point Boundary Problems / J. Douglas Jr. and T. Dupont -- Numerical Experiments with the Double-Eigenvalue Problem / L. Fox, L. Hayes and D. F. Mayers -- Error Estimates for Gauss-Jacobi Quadrature Formulae / G. Freud -- Approximations externes, par elements finis de Lagrange d'ordre un et deux, du probleme de Dirichlet pour l'operateur biharmonique. Methode iterative de resolution des problemes approches / R. Glowinski -- Some Uses of the Lanczos Algorithm in Numerical Linear Algebra / G. H. Golub -- Difference Methods for Singular Perturbation Problems / H. O. Kreiss -- Legendre versus Chebyshev Polynomials / C. Lanczos -- Remarks on "Cheap Control" / J. L. Lions -- Error Analysis of Collocation Methods for Solving Fredholm Integral Equations / B. Noble -- Use of Numerical Integration in Finite Element Methods for Solving Parabolic Equations / P.A. Raviart -- Error Estimates and Convergence in the Numerical Solution of Non-linear Parabolic Equations / E. Schechter -- Discretizations of Differential Equations on Infinite Intervals and Applications to Function Minimization / H.J. Stetter -- Discrete Convergence of Mappings / F. Stummel -- Approximate Solution of Dirichlet's Problem Using Approximating Polygonal Domains / V. Thomee -- Extensions of the Successive Overrelaxation Theory with Applications to Finite Element Approximations / R. S. Varga.
Author: G. Alefeld
Publisher: Springer Science & Business Media
ISBN: 3709162173
Category : Mathematics
Languages : en
Pages : 253
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Book Description
This volume contains eighteen papers submitted in celebration of the sixty-fifth birthday of Professor Tetsuro Yamamoto of Ehime University. Professor Yamamoto was born in Tottori, Japan on January 4, 1937. He obtained his B. S. and M. S. in mathematics from Hiroshima University in 1959 and 1961, respec tively. In 1966, he took a lecturer position in the Department of Mathematics, Faculty of General Education, Hiroshima University and obtained his Ph. D. degree from Hiroshima University two years later. In 1969, he moved to the Department of Applied Mathematics, Faculty of Engineering, Ehime University as an associate professor and he has been a full professor of the Department of Mathematics (now Department of Mathematical Sciences), Faculty of Science, since 1975. At the early stage of his study, he was interested in algebraic eigen value problems and linear iterative methods. He published some papers on these topics in high level international journals. After moving to Ehime University, he started his research on Newton's method and Newton-like methods for nonlinear operator equations. He published many papers on error estimates of the methods. He established the remarkable result that all the known error bounds for Newton's method under the Kantorovich assumptions follow from the Newton-Kantorovich theorem, which put a period to the race of finding sharper error bounds for Newton's method.
Author: John J. H. Miller
Publisher: Academic Press
ISBN:
Category : Mathematics
Languages : en
Pages : 288
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Book Description
Topics in Numerical Analysis II contains in complete form, the papers given by the invited speakers to the Conference on Numerical Analysis held under the auspices of the National Committee for Mathematics of the Royal Irish Academy at University College, Dublin from 29th July to 2nd August, 1974. In addition, the titles of the contributed papers are listed together with the names and addresses of the authors who presented them at the conference. This book is divided into 20 chapters that present the papers in their entirety. They discuss such topics as applications of approximation theory to ...
Author: Vladimir A. Zorich
Publisher: Krishna Prakashan Media
ISBN:
Category : Mathematics
Languages : en
Pages : 792
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Book Description
The second volume expounds classical analysis as it is today, as a part of unified mathematics, and its interactions with modern mathematical courses such as algebra, differential geometry, differential equations, complex and functional analysis. The book provides a firm foundation for advanced work in any of these directions.
Author: Uri M. Ascher
Publisher: SIAM
ISBN: 0898716527
Category : Mathematics
Languages : en
Pages : 403
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Book Description
Develops, analyses, and applies numerical methods for evolutionary, or time-dependent, differential problems.
Author: Vladimir A. Zorich
Publisher: Springer Science & Business Media
ISBN: 9783540403869
Category : Mathematics
Languages : en
Pages : 610
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Book Description
This work by Zorich on Mathematical Analysis constitutes a thorough first course in real analysis, leading from the most elementary facts about real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, and elliptic functions.
Author: Kendall Atkinson
Publisher: Springer Science & Business Media
ISBN: 0387287698
Category : Mathematics
Languages : en
Pages : 576
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Book Description
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?c disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). Thedevelopmentofnewcoursesisanaturalconsequenceofahighlevelof excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Ma- ematical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs.
Author: John J. H. Miller
Publisher:
ISBN:
Category :
Languages : en
Pages : 266
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Book Description
Author: A. Iserles
Publisher: Cambridge University Press
ISBN: 0521734908
Category : Mathematics
Languages : en
Pages : 481
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Book Description
lead the reader to a theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations." --Book Jacket.
