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03098nmm a22003255i 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20230705150630.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
100715s1994 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783540852681 |
| -- |
978-3-540-85268-1 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515 |
| Edition number |
23 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Quarteroni, Alfio. |
| 9 (RLIN) |
20088 |
| 245 ## - TITLE STATEMENT |
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| Title |
Numerical Approximation of Partial Differential Equations |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc. |
by Alfio Quarteroni, Alberto Valli. |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
1st ed. 1994. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
Berlin, Heidelberg : |
| Name of publisher, distributor, etc. |
Springer Berlin Heidelberg : |
| -- |
Imprint: Springer, |
| Date of publication, distribution, etc. |
1994. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XVI, 544 p. 59 illus. |
| Other physical details |
online resource. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Basic Concepts and Methods for PDEs' Approximation -- Numerical Solution of Linear Systems -- Finite Element Approximation -- Polynomial Approximation -- Galerkin, Collocation and Other Methods -- Approximation of Boundary Value Problems -- Elliptic Problems: Approximation by Galerkin and Collocation Methods -- Elliptic Problems: Approximation by Mixed and Hybrid Methods -- Steady Advection-Diffusion Problems -- The Stokes Problem -- The Steady Navier-Stokes Problem -- Approximation of Initial-Boundary Value Problems -- Parabolic Problems -- Unsteady Advection-Diffusion Problems -- The Unsteady Navier-Stokes Problem -- Hyperbolic Problems. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
This book deals with the numerical approximation of partial differential equations. Its scope is to provide a thorough illustration of numerical methods, carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algorithms and discussion of applications is one of its main features. Many kinds of problems are addressed. A comprehensive theory of Galerkin method and its variants, as well as that of collocation methods, are developed for the spatial discretization. These theories are then specified to two numerical subspace realizations of remarkable interest: the finite element method and the spectral method. From the reviews: "...The book is excellent and is addressed to post-graduate students, research workers in applied sciences as well as to specialists in numerical mathematics solving PDE. Since it is written very clearly, it would be acceptable for undergraduate students in advanced courses of numerical mathematics. Readers will find this book to be a great pleasure."--MATHEMATICAL REVIEWS . |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mathematical analysis. |
| 9 (RLIN) |
20089 |
|
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| Topical term or geographic name entry element |
Numerical analysis. |
| 9 (RLIN) |
20090 |
|
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| Topical term or geographic name entry element |
Engineering mathematics. |
| 9 (RLIN) |
20091 |
|
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| Topical term or geographic name entry element |
Engineering-Data processing. |
| 9 (RLIN) |
20092 |
|
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| Topical term or geographic name entry element |
Mathematical physics. |
| 9 (RLIN) |
20093 |
|
|---|
| Topical term or geographic name entry element |
Analysis. |
| 9 (RLIN) |
20094 |
|
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| Topical term or geographic name entry element |
Numerical Analysis. |
| 9 (RLIN) |
20095 |
|
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| Topical term or geographic name entry element |
Mathematical and Computational Engineering Applications. |
| 9 (RLIN) |
20096 |
|
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| Topical term or geographic name entry element |
Theoretical, Mathematical and Computational Physics. |
| 9 (RLIN) |
20097 |
|
|---|
| Topical term or geographic name entry element |
Mathematical Methods in Physics. |
| 9 (RLIN) |
20098 |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Valli, Alberto. |
| Relator term |
author. |
| Relationship |
aut |
| -- |
http://id.loc.gov/vocabulary/relators/aut |
| 9 (RLIN) |
20099 |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://doi.org/10.1007/978-3-540-85268-1">https://doi.org/10.1007/978-3-540-85268-1</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
e-Book |
