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Eigenvalue and Eigenvector Problems in Applied Mechanics / / by Sorin Vlase, Marin Marin, Andreas Öchsner
| Eigenvalue and Eigenvector Problems in Applied Mechanics / / by Sorin Vlase, Marin Marin, Andreas Öchsner |
| Autore | Vlase Sorin |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
| Descrizione fisica | 1 online resource (262 pages) |
| Disciplina | 512.9436 |
| Collana | Advanced Structured Materials |
| Soggetto topico |
Mechanics
Mechanics, Applied Matrix theory Algebra Engineering mathematics Solid Mechanics Linear and Multilinear Algebras, Matrix Theory Engineering Mathematics |
| ISBN | 3-030-00991-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Quadratic Forms -- Rigid Body Dynamics -- Continuum Mechanics. Strain and Stress Tensor -- Modal Analysis -- Stability (Elastic and Dynamic) -- Dynamical Systems. |
| Record Nr. | UNINA-9910337659203321 |
Vlase Sorin
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Guaranteed Computational Methods for Self-Adjoint Differential Eigenvalue Problems / / by Xuefeng Liu
| Guaranteed Computational Methods for Self-Adjoint Differential Eigenvalue Problems / / by Xuefeng Liu |
| Autore | Liu Xuefeng <1961-> |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024 |
| Descrizione fisica | 1 online resource (139 pages) |
| Disciplina | 512.9436 |
| Collana | SpringerBriefs in Mathematics |
| Soggetto topico |
Mathematical analysis
Functional analysis Mathematics - Data processing Analysis Functional Analysis Computational Mathematics and Numerical Analysis |
| ISBN |
9789819735778
9789819735761 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Introduction to Eigenvalue Problems -- 1.1 Overview of Research on Rigorous Eigenvalue Bounds -- 1.2 Model Eigenvalue Problems -- 1.3 Sobolev Space Settings and Weak Formulation of Eigenvalue Problem -- 1.4 Min-Max Principle and Upper Eigenvalue Bounds -- 1.5 Finite Element Method -- 1.5.1 Mesh for Numerical Examples -- 1.5.2 Approximate Eigenvalue Evaluation -- 2 Explicit Error Estimation for Boundary Value Problems -- 2.1 Poisson's Equation and Its FE Solution -- 2.1.1 Poisson's Equation -- 2.1.2 Finite Element Solution -- 2.2 Interpolation Error Estimation and Several Constants -- 2.2.1 Interpolation Function and Error Estimation -- 2.2.2 Constants in the Trace Theorem -- 2.3 A Priori Error Estimate for Solutions with H2-Regularity -- 2.4 Error Estimate for Solutions Without H2-Regularity -- 2.4.1 Space Settings and Hypercircle in the Prager-Synge Theorem -- 2.4.2 A Posteriori Error Estimation -- 2.4.3 A Priori Error Estimation -- 2.4.4 Numerical Examples -- 2.4.4.1 Square Domain -- 2.4.4.2 L-Shaped Domain -- 2.5 Poisson's Equation with General Settings -- 2.5.1 General Hypercircle Involving c(x) -- 2.5.2 A Priori Error Estimation -- 2.5.3 Computation of κh and Its Upper Bound -- 2.5.4 Numerical Computation -- 2.6 Error Estimation for Stokes Equations -- 2.6.1 Problem Settings -- 2.6.2 Finite Element Spaces -- 2.6.2.1 Construction of Vh -- 2.6.2.2 Projection Operators -- 2.6.3 Explicit Error Estimation for FE Solutions -- 2.6.3.1 A Posteriori Error Estimation -- 2.6.3.2 A Priori Error Estimation -- 2.6.3.3 Computation of κh -- 2.6.4 Numerical Computation Results -- 2.6.4.1 A Priori Error Estimation over 3D Domains -- 3 Fundamental Theorem for Explicit Eigenvalue Bounds -- 3.1 Eigenvalue Problem with Positive Definite a(·, ·) -- 3.1.1 Explicit Eigenvalue Bounds.
3.2 Eigenvalue Problems with Positive Semi-definite a(·,·) -- 3.2.1 Problem Setting and Explicit Eigenvalue Bounds -- 3.3 Evaluation of the Constant in Projection Error Estimation -- 4 Explicit Eigenvalue Bounds for Various Differential Operators -- 4.1 Preparation: Non-conforming FEMs -- 4.1.1 Crouzeix-Raviart FEM -- 4.1.1.1 Interpolation Operator ΠhCR -- 4.1.1.2 Interpolation Error Constant CCR(K) -- 4.1.2 Enriched Crouzeix-Raviart FEM -- 4.1.3 Composite Enriched Crouzeix-Raviart FEM -- 4.1.4 Fujino-Morley FEM -- 4.2 Laplacian Eigenvalue Problems -- 4.2.1 Case of c=0 (-Δu = λu) -- 4.2.2 Case of c> -- 0 (-Δu + cu = λu) -- 4.3 Stokes Eigenvalue Problems -- 4.3.1 Weak Formulation of the Stokes Eigenvalue Problem -- 4.3.2 Lower Bounds Using Non-conforming FEMs -- 4.3.3 Lower and Upper Bounds Using Conforming FEMs -- 4.3.4 Numerical Results -- 4.4 Steklov Eigenvalue Problems -- 4.4.1 Lower Bound Using Conforming FEMs -- 4.4.2 Lower Bound Using Non-conforming FEMs -- 4.4.3 Computation Results -- 4.5 Biharmonic Eigenvalue Problems -- 4.5.1 Lower Bounds Using Fujino-Morley FEMs -- 4.5.2 Computation Examples -- 5 Lehmann-Goerisch Method for High-Precision Eigenvalue Bounds -- 5.1 Lehmann-Goerisch Method -- 5.2 Application of the Lehmann-Goerisch Method -- 5.2.1 Dirichlet Eigenvalue Problems -- 5.2.2 Steklov Eigenvalue Problems -- 5.3 Computational Results and Applications -- 5.3.1 Eigenvalue Bounds for Dirichlet Eigenvalues -- 5.3.2 Eigenvalue Bounds for Steklov Eigenvalues -- 6 Guaranteed Eigenfunction Computation -- 6.1 Preliminaries -- 6.1.1 Distance Between Subspaces -- 6.1.2 Eigenspaces for Operators -- 6.2 Algorithm I: Rayleigh Quotient-Based Error Estimation -- 6.3 Algorithm II: Residual-Based Estimation -- 6.3.1 Extension of the Davis-Kahan sinθ Theorem to Weakly Formulated Problems -- 6.3.2 Weakly Formulated Residual Error Estimation. 6.3.3 Direct Estimate of δa: Another Application of the Davis-Kahan Theorem -- 6.4 Algorithm III: Galerkin Projection-Based Estimation -- 6.4.1 A Priori Error Estimation for FE Solutions of Boundary Value Problems -- 6.4.2 Galerkin Projection-Based Estimate in L2 Norm -- 6.5 Numerical Examples -- 6.5.1 Unit Square Domain -- 6.5.2 L-Shaped Domain -- A Introduction to VFEM Library -- References. |
| Record Nr. | UNINA-9910866583403321 |
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Liu Xuefeng <1961->
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| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Inverse eigenvalue problems : theory, algorithms, and applications / Moody T. Chu, Gene H. Golub
| Inverse eigenvalue problems : theory, algorithms, and applications / Moody T. Chu, Gene H. Golub |
| Autore | Chu, Moody Ten-Chao |
| Pubbl/distr/stampa | Oxford, : Oxford University press, [2005] |
| Descrizione fisica | XVI, 387 p. ; 24 cm. |
| Disciplina |
512.9
512.9436 |
| Altri autori (Persone) | Golub, Gene Howard <1932- > |
| Collana | Numerical mathematics and scientific computation |
| ISBN |
0198566646
9780198566649 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISANNIO-TO01466178 |
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Chu, Moody Ten-Chao
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| Oxford, : Oxford University press, [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Sannio | ||
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Laplacian eigenvectors of graphs [e-book] / Perron-Frobenius and Faber-Krahn type theorems edited by Ţơrker Biyikoglu, Josef Leydold, Peter F. Stadler
| Laplacian eigenvectors of graphs [e-book] / Perron-Frobenius and Faber-Krahn type theorems edited by Ţơrker Biyikoglu, Josef Leydold, Peter F. Stadler |
| Autore | Biyikoglu, Ţơrker |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, 2007 |
| Descrizione fisica | v.: digital |
| Disciplina | 512.9436 |
| Altri autori (Persone) |
Leydold, Josef
Stadler, Peter F. |
| Collana | Lecture notes in mathematics, 0075-8434 ; 1915 |
| Soggetto topico |
Combinatorics
Matrix theory |
| ISBN | 9783540735106 |
| Classificazione | AMS 05C50 |
| Formato | Software  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000568789707536 |
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Biyikoglu, Ţơrker
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| Berlin : Springer-Verlag, 2007 | ||
| Software | ||
| Lo trovi qui: Univ. del Salento | ||
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Scientific Computing : Vol. II - Eigenvalues and Optimization / / by John A. Trangenstein
| Scientific Computing : Vol. II - Eigenvalues and Optimization / / by John A. Trangenstein |
| Autore | Trangenstein J. A (John Arthur), <1949-> |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XXVI, 600 p. 645 illus., 111 illus. in color.) |
| Disciplina | 512.9436 |
| Collana | Texts in Computational Science and Engineering |
| Soggetto topico |
Computer science - Mathematics
Differential equations Mathematical optimization Computational Mathematics and Numerical Analysis Ordinary Differential Equations Optimization |
| ISBN | 3-319-69107-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Eigenvalues and Eigenvectors -- 2. Iterative Linear Algebra -- 3. Nonlinear Systems -- 4. Constrained Optimization -- References -- Author Index. |
| Record Nr. | UNINA-9910279754703321 |
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Trangenstein J. A (John Arthur), <1949->
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Spectral Methods for Non-Standard Eigenvalue Problems : Fluid and Structural Mechanics and Beyond / / by Călin-Ioan Gheorghiu
| Spectral Methods for Non-Standard Eigenvalue Problems : Fluid and Structural Mechanics and Beyond / / by Călin-Ioan Gheorghiu |
| Autore | Gheorghiu Călin-Ioan |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (130 p.) |
| Disciplina | 512.9436 |
| Collana | SpringerBriefs in Mathematics |
| Soggetto topico |
Computer mathematics
Numerical analysis Differential equations Applied mathematics Engineering mathematics Physics Computational Mathematics and Numerical Analysis Numerical Analysis Ordinary Differential Equations Applications of Mathematics Computational Science and Engineering Numerical and Computational Physics, Simulation |
| ISBN | 3-319-06230-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 General Formulation of Spectral Approximation -- 2 Tau and Galerkin Methods for Fourth Order GEPs -- 3 The Chebyshev Collocation Method -- 4 The Laguerre Collocation Method -- 5 Conclusions and Further Developments -- Appendix: Algebraic Two-Parameter Eigenvalue Problems -- Index. |
| Record Nr. | UNINA-9910300147303321 |
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Gheorghiu Călin-Ioan
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The matrix eigenvalue problem : GR and Krylov subspace methods / David S. Watkins
| The matrix eigenvalue problem : GR and Krylov subspace methods / David S. Watkins |
| Autore | Watkins, David S. |
| Pubbl/distr/stampa | Philadelphia, : Society for industrial & Applied Mathematics, ©2007 |
| Descrizione fisica | X, 442 p. ; 25 cm |
| Disciplina |
512.9
512.9436 |
| Collana | Other titles in applied mathematics |
| Soggetto topico | Matrici |
| ISBN |
0898716411
9780898716412 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISANNIO-UTO0930931 |
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Watkins, David S.
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| Philadelphia, : Society for industrial & Applied Mathematics, ©2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Sannio | ||
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