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### Biblioteca

The finite element method [[electronic resource] ] : an introduction with partial differential equations / / A.J. Davies
 The finite element method [[electronic resource] ] : an introduction with partial differential equations / / A.J. Davies
 Autore Davies Alan J Edizione [2nd ed.] Pubbl/distr/stampa Oxford ; ; New York, : Oxford University Press, 2011 Descrizione fisica 1 online resource (308 p.) Disciplina 518/.25 Soggetto topico Finite element method Numerical analysis ISBN 0-19-163034-9 1-283-42690-0 9786613426901 0-19-163033-0 Classificazione SK 910 Formato Materiale a stampa Livello bibliografico Monografia Lingua di pubblicazione eng Nota di contenuto Cover; Contents; 1 Historical introduction; 2 Weighted residual and variational methods; 2.1 Classification of differential operators; 2.2 Self-adjoint positive definite operators; 2.3 Weighted residual methods; 2.4 Extremum formulation: homogeneous boundary conditions; 2.5 Non-homogeneous boundary conditions; 2.6 Partial differential equations: natural boundary conditions; 2.7 The Rayleigh-Ritz method; 2.8 The 'elastic analogy' for Poisson's equation; 2.9 Variational methods for time-dependent problems; 2.10 Exercises and solutions; 3 The finite element method for elliptic problems 3.1 Difficulties associated with the application of weighted residual methods3.2 Piecewise application of the Galerkin method; 3.3 Terminology; 3.4 Finite element idealization; 3.5 Illustrative problem involving one independent variable; 3.6 Finite element equations for Poisson's equation; 3.7 A rectangular element for Poisson's equation; 3.8 A triangular element for Poisson's equation; 3.9 Exercises and solutions; 4 Higher-order elements: the isoparametric concept; 4.1 A two-point boundary-value problem; 4.2 Higher-order rectangular elements; 4.3 Higher-order triangular elements 4.4 Two degrees of freedom at each node4.5 Condensation of internal nodal freedoms; 4.6 Curved boundaries and higher-order elements: isoparametric elements; 4.7 Exercises and solutions; 5 Further topics in the finite element method; 5.1 The variational approach; 5.2 Collocation and least squares methods; 5.3 Use of Galerkin's method for time-dependent and non-linear problems; 5.4 Time-dependent problems using variational principles which are not extremal; 5.5 The Laplace transform; 5.6 Exercises and solutions; 6 Convergence of the finite element method; 6.1 A one-dimensional example 6.2 Two-dimensional problems involving Poisson's equation6.3 Isoparametric elements: numerical integration; 6.4 Non-conforming elements: the patch test; 6.5 Comparison with the finite difference method: stability; 6.6 Exercises and solutions; 7 The boundary element method; 7.1 Integral formulation of boundary-value problems; 7.2 Boundary element idealization for Laplace's equation; 7.3 A constant boundary element for Laplace's equation; 7.4 A linear element for Laplace's equation; 7.5 Time-dependent problems; 7.6 Exercises and solutions; 8 Computational aspects; 8.1 Pre-processor 8.2 Solution phase8.3 Post-processor; 8.4 Finite element method (FEM) or boundary element method (BEM)?; Appendix A: Partial differential equation models in the physical sciences; A.1 Parabolic problems; A.2 Elliptic problems; A.3 Hyperbolic problems; A.4 Initial and boundary conditions; Appendix B: Some integral theorems of the vector calculus; Appendix C: A formula for integrating products of area coordinates over a triangle; Appendix D: Numerical integration formulae; D.1 One-dimensional Gauss quadrature; D.2 Two-dimensional Gauss quadrature; D.3 Logarithmic Gauss quadrature Appendix E: Stehfest's formula and weights for numerical Laplace transform inversion Record Nr. UNINA-9910667195803321
Oxford ; ; New York, : Oxford University Press, 2011
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Iterative regularization methods for nonlinear iII-posed problems [[electronic resource] /] / Barbara Kaltenbacher, Andreas Neubauer, Otmar Scherzer
 Iterative regularization methods for nonlinear iII-posed problems [[electronic resource] /] / Barbara Kaltenbacher, Andreas Neubauer, Otmar Scherzer
 Autore Kaltenbacher Barbara Pubbl/distr/stampa Berlin ; ; New York, : Walter de Gruyter, c2008 Descrizione fisica 1 online resource (204 p.) Disciplina 515.7 620.402/2 Altri autori (Persone) NeubauerAndreas ScherzerOtmar <1964-> Collana Radon series on computational and applied mathematics Soggetto topico Differential equations, Partial - Improperly posed problems Iterative methods (Mathematics) ISBN 1-282-19699-5 9786612196997 3-11-020827-X Classificazione SK 910 Formato Materiale a stampa Livello bibliografico Monografia Lingua di pubblicazione eng Nota di contenuto Frontmatter -- Contents -- 1 Introduction -- 2 Nonlinear Landweber iteration -- 3 Modified Landweber methods -- 4 Newton type methods -- 5 Multilevel methods -- 6 Level set methods -- 7 Applications -- 8 Comments -- Backmatter Record Nr. UNINA-9910668163403321
Berlin ; ; New York, : Walter de Gruyter, c2008
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Numerical methods for eigenvalue problems [[electronic resource] /] / by Steffen Börm, Christian Mehl
 Numerical methods for eigenvalue problems [[electronic resource] /] / by Steffen Börm, Christian Mehl
 Autore Börm Steffen Pubbl/distr/stampa Berlin ; ; Boston, : De Gruyter, c2012 Descrizione fisica 1 online resource (216 p.) Disciplina 512.9/436 Altri autori (Persone) MehlChristian <1968-> Collana De Gruyter graduate lectures Soggetto topico Eigenvalues Eigenvectors Matrices - Data processing Soggetto genere / forma Electronic books. ISBN 1-283-85759-6 3-11-025037-3 Classificazione SK 910 Formato Materiale a stampa Livello bibliografico Monografia Lingua di pubblicazione eng Nota di contenuto Front matter -- Preface -- Contents -- Chapter 1. Introduction -- Chapter 2. Existence and properties of eigenvalues and eigenvectors -- Chapter 3. Jacobi iteration -- Chapter 4. Power methods -- Chapter 5. QR iteration -- Chapter 6. Bisection methods -- Chapter 7. Krylov subspace methods for large sparse eigenvalue problems -- Chapter 8. Generalized and polynomial eigenvalue problems -- Bibliography -- Index Record Nr. UNINA-9910462418503321
Berlin ; ; Boston, : De Gruyter, c2012
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Numerical methods for eigenvalue problems [[electronic resource] /] / by Steffen Börm, Christian Mehl
 Numerical methods for eigenvalue problems [[electronic resource] /] / by Steffen Börm, Christian Mehl
 Autore Börm Steffen Pubbl/distr/stampa Berlin ; ; Boston, : De Gruyter, c2012 Descrizione fisica 1 online resource (216 p.) Disciplina 512.9/436 Altri autori (Persone) MehlChristian <1968-> Collana De Gruyter graduate lectures Soggetto topico Eigenvalues Eigenvectors Matrices - Data processing ISBN 1-283-85759-6 3-11-025037-3 Classificazione SK 910 Formato Materiale a stampa Livello bibliografico Monografia Lingua di pubblicazione eng Nota di contenuto Front matter -- Preface -- Contents -- Chapter 1. Introduction -- Chapter 2. Existence and properties of eigenvalues and eigenvectors -- Chapter 3. Jacobi iteration -- Chapter 4. Power methods -- Chapter 5. QR iteration -- Chapter 6. Bisection methods -- Chapter 7. Krylov subspace methods for large sparse eigenvalue problems -- Chapter 8. Generalized and polynomial eigenvalue problems -- Bibliography -- Index Record Nr. UNINA-9910651807203321
Berlin ; ; Boston, : De Gruyter, c2012
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Rational iteration [[electronic resource] ] : complex analytic dynamical systems / / Norbert Steinmetz
 Rational iteration [[electronic resource] ] : complex analytic dynamical systems / / Norbert Steinmetz
 Autore Steinmetz Norbert <1949-> Pubbl/distr/stampa Berlin ; ; New York, : W. de Gruyter, 1993 Descrizione fisica 1 online resource (195 p.) Disciplina 511/.4 Collana De Gruyter Studies in Mathematics Soggetto topico Iterative methods (Mathematics) Mappings (Mathematics) ISBN 3-11-088931-5 Classificazione SK 910 Formato Materiale a stampa Livello bibliografico Monografia Lingua di pubblicazione eng Nota di contenuto Front matter -- Preface -- List of Special Symbols -- 1 Preliminaries -- 2 The Dynamical Dichotomy -- 3 The Fatou Set -- 4 The Existence of Rotation Domains -- 5 The Geometry of the Julia Set -- 6 Miscellanea -- Bibliography -- Index -- Back matter Record Nr. UNINA-9910655737803321
Berlin ; ; New York, : W. de Gruyter, 1993
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