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Topics In Numerical Analysis


Topics In Numerical Analysis
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Topics In Numerical Analysis


Topics In Numerical Analysis
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Author : P.R. Turner
language : en
Publisher: Springer
Release Date : 2006-11-15

Topics In Numerical Analysis written by P.R. Turner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.




Topics In Numerical Analysis Ii


Topics In Numerical Analysis Ii
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Author : John J.H. Miller
language : en
Publisher: Elsevier
Release Date : 2012-12-02

Topics In Numerical Analysis Ii written by John J.H. Miller and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Mathematics categories.


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.



Topics In Numerical Analysis


Topics In Numerical Analysis
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Author : G. Alefeld
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-09-11

Topics In Numerical Analysis written by G. Alefeld and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-09-11 with Computers categories.


This collection of papers on numerical analysis with special emphasis on nonlinear problems covers a broad spectrum of fields. Several papers are involved in applying numerical methods for proving the existence of solutions of nonlinear problems, e.g. of boundary problems or of obstacle problems. Naturally the solution of linear and nonlinear problems by iterative methods is the subject of a couple of papers. Here topics like the fast verification of solutions of monotone matrix equations, the convergence of linear asynchronous iteration with spectral radius of modulus one or aggregation and disaggregation methods for p-cyclic Markov chains are treated. On the other hand papers involved in optimization problems can be found. Nearly all fields of modern numerical analysis are touched by at least one paper.



Topics In Applied Analysis And Optimisation


Topics In Applied Analysis And Optimisation
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Author : Michael Hintermüller
language : en
Publisher: Springer Nature
Release Date : 2019-11-27

Topics In Applied Analysis And Optimisation written by Michael Hintermüller and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-27 with Mathematics categories.


This volume comprises selected, revised papers from the Joint CIM-WIAS Workshop, TAAO 2017, held in Lisbon, Portugal, in December 2017. The workshop brought together experts from research groups at the Weierstrass Institute in Berlin and mathematics centres in Portugal to present and discuss current scientific topics and to promote existing and future collaborations. The papers include the following topics: PDEs with applications to material sciences, thermodynamics and laser dynamics, scientific computing, nonlinear optimization and stochastic analysis.



Topics In Numerical Analysis


Topics In Numerical Analysis
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Author :
language : en
Publisher:
Release Date : 1975

Topics In Numerical Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.




Topics In Numerical Analysis


Topics In Numerical Analysis
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Author : John James Henry Miller
language : en
Publisher:
Release Date : 1973

Topics In Numerical Analysis written by John James Henry Miller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Numerical analysis categories.


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.



Topics In Numerical Analysis Iii


Topics In Numerical Analysis Iii
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Author : Royal Irish Academy
language : en
Publisher: Academic Press
Release Date : 1977

Topics In Numerical Analysis Iii written by Royal Irish Academy and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.




Topics In Numerical Analysis


Topics In Numerical Analysis
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Author : G. Alefeld
language : en
Publisher:
Release Date : 2001-09-11

Topics In Numerical Analysis written by G. Alefeld and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-09-11 with categories.




Topics In Numerical Analysis 1


Topics In Numerical Analysis 1
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Author :
language : en
Publisher:
Release Date : 1973

Topics In Numerical Analysis 1 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.




Numerical Analysis A Graduate Course


Numerical Analysis A Graduate Course
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Author : David E. Stewart
language : en
Publisher: Springer Nature
Release Date : 2022-12-01

Numerical Analysis A Graduate Course written by David E. Stewart and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-01 with Mathematics categories.


This book aims to introduce graduate students to the many applications of numerical computation, explaining in detail both how and why the included methods work in practice. The text addresses numerical analysis as a middle ground between practice and theory, addressing both the abstract mathematical analysis and applied computation and programming models instrumental to the field. While the text uses pseudocode, Matlab and Julia codes are available online for students to use, and to demonstrate implementation techniques. The textbook also emphasizes multivariate problems alongside single-variable problems and deals with topics in randomness, including stochastic differential equations and randomized algorithms, and topics in optimization and approximation relevant to machine learning. Ultimately, it seeks to clarify issues in numerical analysis in the context of applications, and presenting accessible methods to students in mathematics and data science.