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Introduction to numerical analysis / J. Stoer (1993)
Titre : Introduction to numerical analysis Type de document : Guide/Manuel Auteurs : J. Stoer, Auteur ; R. Bulirsch, Auteur ; R. Bartels, Traducteur ; W. Gautschi, Traducteur ; C. Witzgall, Traducteur Mention d'édition : 2 Editeur : Berlin, Heidelberg, Vienne, New York, ... : Springer Année de publication : 1993 Collection : Texts in applied mathematics num. 12 Importance : 660 p. Format : 16 x 24 cm ISBN/ISSN/EAN : 978-0-387-97878-9 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Analyse numérique
[Termes IGN] analyse numérique
[Termes IGN] équation différentielle
[Termes IGN] équation linéaire
[Termes IGN] interpolation
[Termes IGN] itération
[Termes IGN] modèle par fonctions rationnelles
[Termes IGN] transformation rapide de Fourier
[Termes IGN] valeur propreNote de contenu : 1 Error Analysis
1.1 Representation of Numbers
1.2 Roundoff Errors and Floating-Point Arithmetic
1.3 Error Propagation
1.4 Examples
1.5 Interval Arithmetic ; Statistical Roundoff Estimation
Exercises for Chapter 1
References for Chapter 1
2 Interpolation
2.1 Interpolation by Polynomials
2.2 Interpolation by Rational Functions
2.3 Trigonometric Interpolation
2.4 Interpolation by Spline Functions
Exercises for Chapter 2
References for Chapter 2
3 Topics in Integration
3.1 The Integration Formulas of Newton and Cotes
3.2 Peano's Error Representation
3.3 The Euler-Maclaurin Summation Formula
3.4 Integrating by Extrapolation
3.5 About Extrapolation Methods
3.6 Gaussian Integration Methods
3.7 Integrals with Singularities
Exercises for Chapter 3
References for Chapter 3
4 Systems of Linear Equations
4.1 Gaussian Elimination. The Triangular Decomposition of a Matrix
4.2 The Gauss-Jordan Algorithm
4.3 The Cholesky Decomposition
4.4 Error Bounds
4.5 Roundoff-Error Analysis for Gaussian Elimination
4.6 Roundoff Errors in Solving Triangular Systems
4.7 Orthogonalization Techniques of Householder and Gram-Schmidt
4.8 Data Fitting
4.9 Modification Techniques for Matrix Decompositions
4.10 The Simplex Method
4.11 Phase One of the Simplex Method
Appendix to Chapter 4
4.A Elimination Methods for Sparse Matrices
Exercises for Chapter 4
References for Chapter 4
5 Finding Zeros and Minimum Points by Iterative Methods
5.1 The Development of Iterative Methods
5.2 General Convergence Theorems
5.3 The Convergence of Newton's Method in Several Variables
5.4 A Modified Newton Method
5.5 Roots of Polynomials. Application of Newton's Method
5.6 Sturm Sequences and Bisection Methods
5.7 Bairstow's Method
5.8 The Sensitivity of Polynomial Roots
5.9 Interpolation Methods for Determining Roots
5.10 The A'-Method of Aitken
5.11 Minimization Problems without Constraints
Exercises for Chapter 5
References for Chapter 5
6 Eigenvalue Problems
6.0 Introduction
6.1 Basic Facts on Eigenvalues
6.2 The Jordan Normal Form of a Matrix
6.3 The Frobenius Normal Form of a Matrix
6.4 The Schur Normal Form of a Matrix ; Hermitian and Normal Matrices ; Singular Values of Matrices
6.5 Reduction of Matrices to Simpler Form
6.6 Methods for Determining the Eigenvalues and Eigenvectors
6.7 Computation of the Singular Values of a Matrix
6.8 Generalized Eigenvalue Problems
6.9 Estimation of Eigenvalues
Exercises for Chapter 6
References for Chapter 6
7 Ordinary Differential Equations
7.0 Introduction
7.1 Some Theorems from the Theory of Ordinary Differential Equations
7.2 Initial-Value Problems
7.3 Boundary-Value Problems
7.4 Difference Methods
7.5 Variational Methods
7.6 Comparison of the Methods for Solving Boundary-Value Problems for Ordinary Differential Equations
7.7 Variational Methods for Partial Differential Equations. The Finite-Element Method
Exercises for Chapter 7
References for Chapter 7
8 Iterative Methods for the Solution of Large Systems of Linear Equations.
Some Further Methods
8.0 Introduction
8.1 General Procedures for the Construction of Iterative Methods
8.2 Convergence Theorems
8.3 Relaxation Methods
8.4 Applications to Difference Methods - An Example
8.5 Block Iterative Methods
8.6 The ADI-Method of Peaceman and Rachford
8.7 The Conjugate-Gradient Method of Hestenes and Stiefel
8.8 The Algorithm of Buneman for the Solution of the Discretized Poisson Equation
8.9 Multigrid Methods
8.10 Comparison of Iterative Methods
Exercises for Chapter 8
References for Chapter 8Numéro de notice : 13031 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Manuel de cours Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=46242 Réservation
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Code-barres Cote Support Localisation Section Disponibilité 13031-01 23.40 Livre Centre de documentation Mathématiques Disponible Optimierung geodätischer Netze mit spektralen Zielfunktionen / H. Kaltenbach (1992)
Titre : Optimierung geodätischer Netze mit spektralen Zielfunktionen Titre original : [Optimisation des réseaux géodésiques par les fonctions spectrales recherchées] Type de document : Thèse/HDR Auteurs : H. Kaltenbach, Auteur Editeur : Munich : Bayerische Akademie der Wissenschaften Année de publication : 1992 Collection : DGK - C Sous-collection : Dissertationen num. 393 Importance : 116 p. Format : 21 x 30 cm ISBN/ISSN/EAN : 978-3-7696-9439-0 Note générale : Bibliographie Langues : Allemand (ger) Descripteur : [Vedettes matières IGN] Systèmes de référence et réseaux
[Termes IGN] analyse spectrale
[Termes IGN] canevas
[Termes IGN] itération
[Termes IGN] matrice de covariance
[Termes IGN] mire parlante
[Termes IGN] problème inverse
[Termes IGN] réseau géodésique
[Termes IGN] système de coordonnées
[Termes IGN] système non linéaire
[Termes IGN] valeur propreIndex. décimale : 30.10 Systèmes de référence et réseaux géodésiques Résumé : (Auteur) The following thesis deals with the optimization of geodetic networks based on spectral target functions. The spectral analysis and optimization is based on the decomposition of the normal equation matrix of the adjustment or on the covariance matrix of the coordinates in the system of eigenvalues and eigenvectors. Chapter two contains some important mathematical background knowledge from the field of direct and inverse eigenvalue problems and the iterative solution of nonlinear systems of equations. Especially some properties of the newton-procedure are discussed, because this method is generally used to solve inverse eigenvalue problems. To apply the Newton-procedure it is necessary to know the derivatives of the eigenvalues and vectors of the considered matrix with respect to the design parameters. The derivatives of an arbitrary (symmetric) matrix are summarized in this chapter.
The spectral analysis of geodetic networks related to aspects of precision and reliability is the subject of chapter three. Some wellknown local and global measures for the precision are summarized shortly. Aspects concerned with the so-called inner geometry of a network and the definition of the coordinate system (datum problem) are mentioned and supplemented by examples.
The optimization with target functions related to the eigenvalue spectrum is the main part of this thesis and the subject analyzed in detail in chapter four. Principally spoken the task is to determine the coordinates of the netpoints and the observation weights in such a manner that the resulting normal equation or covariance matrix has a special target spectrum. This is the definition of the inverse eigenvalue problem. Based on a given start design of a geodetic network the target function is formulated and the inverse eigenvalue problem is solved iteratively. As mentioned above it is necessary to know the derivatives of the eigenvalues with respect to the coordinates and the observation weights. The derivatives can be computed based on the eigenvalue problem for the normal equation matrix or the covariance matrix and furthermore it is necessary to calculate the derivatives of the elements of the normal equation matrix analytically. Problems arising in network optimization like handling the orientation unknowns in direction networks or the consideration of inner geometry and datum definition of a network are discussed. Examples show the effectiveness of the optimization procedure and show how the so-called weak form of geodetic networks can be reduced. The spectral network optimization is a useful tool for understanding properties and behaviour of geodetic networks. The spectral formulation with target eigenvalues allows the solution of first, second and third order design problems in the usual classification of network optimization. The examples are also used to investigate the properties of the iterative solution procedure, especially the rate of convergence or the definiteness of solutions.
In analogy to the eigenvalues, one can define an inverse eigenvector problem : the task is to determine the design parameters -namely the coordinates and the observation weights - in such a way that the normal equation matrix has given eigenvectors. The formulation of solution procedures and the difficulties in formulating suitable target functions for eigenvectors is the topic of chapter five. One application of this topic is the field of deformation analysis, where the task is to achieve the components of the dominant eigenvector in such a manner that they are perpendicular to. the expected direction of the deformations.
To make an algorithm for network optimization a suitable tool in network planning, it is inevitable to consider some practical aspects. In the first order design, namely the determination of the coordinates of the netpoints, it is obvious that the rate of displacement of the points is limited by the local topography. One cannot move the points arbitrarily without loosing connections between the points. Therefore it is obvious to introduce the possible rate of displacement of the points as restrictions into the optimization algorithm. The same is valid for the observation weigths in a weight optimization (second order design). To take into account aspects of reliability we have to formulate upper bounds for the weights because observations with very high weights compared with other observations usually have low redundancy. Therefore in the adjustment gross errors can be found with a low probability, but unknown errors can distort the results significantly. If we take into account these practical aspects within the iterative solution procedure of the inverse eigenvalue problem we get a problem of minimizing a certain target function with additional restrictions in the form of equations and unequations. There are several methods in optimization theory for solving such problems. Chapter six of the present thesis deals with this topic. Again examples are used to supplement the theoretical investigations.Numéro de notice : 61414 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Thèse étrangère Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=60937 Réservation
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Code-barres Cote Support Localisation Section Disponibilité 61414-01 30.10 Livre Centre de documentation Géodésie Disponible 61414-02 30.10 Livre Centre de documentation Géodésie Disponible Die Bewegung künstlicher Satelliten im anisotropen Gravitationsfeld einer gleichmäßig rotierenden starren Modellerde. Eine analytische Lösung 2. Ordnung / C. Cui (1990)
Titre : Die Bewegung künstlicher Satelliten im anisotropen Gravitationsfeld einer gleichmäßig rotierenden starren Modellerde. Eine analytische Lösung 2. Ordnung Titre original : [Le mouvement d'un satellite artificiel dans un champ de pesanteur anisotrope d'une Terre modèle fixe à rotation régulière : une solution analytique de second ordre] Type de document : Thèse/HDR Auteurs : C. Cui, Auteur Editeur : Munich : Bayerische Akademie der Wissenschaften Année de publication : 1990 Collection : DGK - C Sous-collection : Dissertationen num. 357 Importance : 106 p. Format : 21 x 30 cm ISBN/ISSN/EAN : 978-3-7696-9405-5 Note générale : Bibliographie Langues : Allemand (ger) Descripteur : [Vedettes matières IGN] Techniques orbitales
[Termes IGN] champ de pesanteur terrestre
[Termes IGN] compensation
[Termes IGN] itération
[Termes IGN] mécanique céleste
[Termes IGN] mouvement Képlerien
[Termes IGN] satellite artificiel
[Termes IGN] transformation canonique
[Termes IGN] transformation de LieRésumé : (Auteur) A second order analytical solution of the equation of motion of artificial satellites in the gravitational field of a uniformly rotating non-symmetrical solid earth has been derived using canonical transformations. The solution is consistent in the linear terms with solutions by Brouwer and by Kaula. The numerical tests show an accuracy of the solution of the order 10-10 for the zonal perturbations and of the order 10-8 for the tesseral perturbations. The solution can be employed to evaluate the perturbations from arbitrary harmonic terms. To derive the analytical solution an intermediate orbit has been developed ; a quasi-mean-value method and an iterative method for solving the Lie-Hori equation to determine the generating function of the Lie-transformation have been developed. A formula of the inverse of the product of two Lie-transformations has been derived. An application of the solution to determine the harmonic coefficients of the geopotential using the satellite-to-satellite-tracking data of the low- low-mode has been outlined. The inclination function by Kaula and the excentricity function by Lelgemann have been investigated in detail. A set of recurrence formulas and symmetrical properties of both functions have been derived. Numéro de notice : 59536 Affiliation des auteurs : non IGN Thématique : IMAGERIE/POSITIONNEMENT Nature : Thèse étrangère Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=60589 Réservation
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Code-barres Cote Support Localisation Section Disponibilité 59536-01 21.10 Livre Centre de documentation Technologies spatiales Disponible A system for digital stereo image matching / M.J. Hannah in Photogrammetric Engineering & Remote Sensing, PERS, vol 55 n° 12 (december 1989)
[article]
Titre : A system for digital stereo image matching Type de document : Article/Communication Auteurs : M.J. Hannah, Auteur Année de publication : 1989 Article en page(s) : pp 1765 - 1770 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Photogrammétrie numérique
[Termes IGN] appariement d'images
[Termes IGN] contrôle
[Termes IGN] corrélation
[Termes IGN] image numérique
[Termes IGN] itération
[Termes IGN] traitement d'image
[Termes IGN] vision stéréoscopiqueNuméro de notice : A1989-438 Affiliation des auteurs : non IGN Thématique : IMAGERIE Nature : Article DOI : sans En ligne : https://www.asprs.org/wp-content/uploads/pers/1989journal/dec/1989_dec_1765-1770 [...] Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=25396
in Photogrammetric Engineering & Remote Sensing, PERS > vol 55 n° 12 (december 1989) . - pp 1765 - 1770[article]A method for the mapping of the apparent ground brightness using visible images from geostationary satellites / G. Moussu in International Journal of Remote Sensing IJRS, vol 10 n° 7 (July 1989)
[article]
Titre : A method for the mapping of the apparent ground brightness using visible images from geostationary satellites Type de document : Article/Communication Auteurs : G. Moussu, Auteur ; L. Diabate, Auteur ; D. Obrecht, Auteur ; Lucien Wald, Auteur Année de publication : 1989 Article en page(s) : pp 1207 - 1225 Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Applications de télédétection
[Termes IGN] Afrique (géographie politique)
[Termes IGN] bande visible
[Termes IGN] Europe (géographie politique)
[Termes IGN] filtrage du rayonnement
[Termes IGN] itération
[Termes IGN] luminance lumineuse
[Termes IGN] pixel
[Termes IGN] satellite géostationnaire
[Termes IGN] satellite météorologiqueNuméro de notice : A1989-198 Affiliation des auteurs : non IGN Thématique : IMAGERIE Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1080/01431168908903959 En ligne : https://doi.org/10.1080/01431168908903959 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=25158
in International Journal of Remote Sensing IJRS > vol 10 n° 7 (July 1989) . - pp 1207 - 1225[article]Réservation
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Code-barres Cote Support Localisation Section Disponibilité 080-89061 RAB Revue Centre de documentation En réserve L003 Disponible Design of spectral and panchromatic bands for the German MOMS-02 sensor / H. Kaufmann in Photogrammetric Engineering & Remote Sensing, PERS, vol 55 n° 6 (june 1989)PermalinkImprovements to the effectiveness of supervised training procedures / G. Buttner in International Journal of Remote Sensing IJRS, vol 10 n° 6 (June 1989)PermalinkMulti-sensor DLT intersection for SAR and optical images / M.H. Brill in Photogrammetric Engineering & Remote Sensing, PERS, vol 55 n° 2 (february 1989)PermalinkOptimal estimation of displacements by combining photogrammetric and dynamic models / Costas Armenakis in Photogrammetric Engineering & Remote Sensing, PERS, vol 54 n° 8 (august 1988)PermalinkHigh-precision image matching for digital terrain model generation / Armin W. Gruen in Photogrammetria, vol 42 n° 3 (December 1987)PermalinkInland wetland change detection using aircraft MSS data / J.R. Jensen in Photogrammetric Engineering & Remote Sensing, PERS, vol 53 n° 5 (may 1987)PermalinkGrands systèmes linéaires / Georges Balmino (1977)PermalinkRésolution des grands systèmes linéaires : Rapport du groupe spécial d'études 4.35 / Henri Marcel Dufour (01/08/1975)PermalinkEtude de la propagation de l'erreur dans une méthode de résolution numérique des équations de Navier-Stokes / Jean Duchon (1975)PermalinkPresentation synthetique des methodes semi-iteratives de resolution des systemes lineaires / Henri Marcel Dufour in Bulletin géodésique, n° 113 (septembre 1974)Permalink