Applied inverse problems : lectures presented at the RCP 264, "Etude interdisciplinaire des problèmes inverses" / sponsored by the Centre National de la Recherche Scientifique ; edited by P. C. Sabatier |
Autore | Centre National de la Recherche Scientifique (France) |
Pubbl/distr/stampa | Berlin : Springer, 1978 |
Descrizione fisica | v, 425 p. : ill. ; 25 cm |
Disciplina | 530.1/5/535 |
Altri autori (Persone) | Sabatier, Pierre Celestin |
Collana | Lecture notes in physics / edited by J. Ehlers...[et al.] ; 85 |
Soggetto topico |
Inverse problems (Differential equations)
Mathematical physics Geophysics - Mathematics |
Classificazione |
LC QC20.7.D5
510.35 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000816359707536 |
Centre National de la Recherche Scientifique (France) | ||
Berlin : Springer, 1978 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Continuum mechanics in the earth sciences / / William I. Newman [[electronic resource]] |
Autore | Newman William I. |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2012 |
Descrizione fisica | 1 online resource (xii, 182 pages) : digital, PDF file(s) |
Disciplina | 531 |
Soggetto topico |
Continuum mechanics
Geophysics - Mathematics Planetary theory - Mathematics Geology - Mathematics |
ISBN |
1-107-08481-4
1-107-22440-3 1-280-39347-5 9786613571397 1-139-33727-0 1-139-33972-9 0-511-98012-4 1-139-34130-8 1-139-33640-1 1-139-33814-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; CONTINUUM MECHANICS IN THE EARTH SCIENCES; Title; Copyright; Dedication; Contents; Preface; Acknowledgements; 1 Some mathematical essentials; 1.1 Scalars, vectors, and Cartesian tensors; 1.2 Matrices and determinants; 1.3 Transformations of Cartesian tensors; 1.4 Eigenvalues and eigenvectors; 1.5 Simplified approach to rotation; 1.6 Curvature, torsion, and kinematics; Exercises; 2 Stress principles; 2.1 Body and surface forces; 2.2 Cauchy stress principle; 2.3 Stress tensor; 2.4 Symmetry and transformation laws; 2.5 Principal stresses and directions
2.6 Solving the cubic eigenvalue equation problem2.7 Maximum and minimum stress values; 2.8 Mohr's circles; Exercises; 3 Deformation and motion; 3.1 Coordinates and deformation; 3.2 Strain tensor; 3.3 Linearized deformation theory; 3.4 Stretch ratios; 3.5 Velocity gradient; 3.6 Vorticity and material derivative; Exercises; 4 Fundamental laws and equations; 4.1 Terminology and material derivatives; 4.2 Conservation of mass and the continuity equation; 4.3 Linear momentum and the equations of motion; 4.4 Piola-Kirchhoff stress tensor; 4.5 Angular momentum principle 4.6 Conservation of energy and the energy equation4.7 Constitutive equations; 4.8 Thermodynamic considerations; Exercises; 5 Linear elastic solids; 5.1 Elasticity, Hooke's law, and free energy; 5.2 Homogeneous deformations; 5.3 Role of temperature; 5.4 Elastic waves for isotropic bodies; 5.5 Helmholtz's decomposition theorem; 5.6 Statics for isotropic bodies; 5.7 Microscopic structure and dislocations; Exercises; 6 Classical fluids; 6.1 Stokesian and Newtonian fluids: Navier-Stokes equations; 6.2 Some special fluids and flows; Exercises; 7 Geophysical fluid dynamics 7.1 Dimensional analysis and dimensionless form7.2 Dimensionless numbers; Exercises; 8 Computation in continuum mechanics; 8.1 Review of partial differential equations; 8.2 Survey of numerical methods; 9 Nonlinearity in the Earth; 9.1 Friction; 9.2 Fracture; 9.3 Percolation and self-organized criticality; 9.4 Fractals; References; Index |
Record Nr. | UNINA-9910461587403321 |
Newman William I. | ||
Cambridge : , : Cambridge University Press, , 2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Continuum mechanics in the earth sciences / / William I. Newman [[electronic resource]] |
Autore | Newman William I. |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2012 |
Descrizione fisica | 1 online resource (xii, 182 pages) : digital, PDF file(s) |
Disciplina | 531 |
Soggetto topico |
Continuum mechanics
Geophysics - Mathematics Planetary theory - Mathematics Geology - Mathematics |
ISBN |
1-107-08481-4
1-107-22440-3 1-280-39347-5 9786613571397 1-139-33727-0 1-139-33972-9 0-511-98012-4 1-139-34130-8 1-139-33640-1 1-139-33814-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; CONTINUUM MECHANICS IN THE EARTH SCIENCES; Title; Copyright; Dedication; Contents; Preface; Acknowledgements; 1 Some mathematical essentials; 1.1 Scalars, vectors, and Cartesian tensors; 1.2 Matrices and determinants; 1.3 Transformations of Cartesian tensors; 1.4 Eigenvalues and eigenvectors; 1.5 Simplified approach to rotation; 1.6 Curvature, torsion, and kinematics; Exercises; 2 Stress principles; 2.1 Body and surface forces; 2.2 Cauchy stress principle; 2.3 Stress tensor; 2.4 Symmetry and transformation laws; 2.5 Principal stresses and directions
2.6 Solving the cubic eigenvalue equation problem2.7 Maximum and minimum stress values; 2.8 Mohr's circles; Exercises; 3 Deformation and motion; 3.1 Coordinates and deformation; 3.2 Strain tensor; 3.3 Linearized deformation theory; 3.4 Stretch ratios; 3.5 Velocity gradient; 3.6 Vorticity and material derivative; Exercises; 4 Fundamental laws and equations; 4.1 Terminology and material derivatives; 4.2 Conservation of mass and the continuity equation; 4.3 Linear momentum and the equations of motion; 4.4 Piola-Kirchhoff stress tensor; 4.5 Angular momentum principle 4.6 Conservation of energy and the energy equation4.7 Constitutive equations; 4.8 Thermodynamic considerations; Exercises; 5 Linear elastic solids; 5.1 Elasticity, Hooke's law, and free energy; 5.2 Homogeneous deformations; 5.3 Role of temperature; 5.4 Elastic waves for isotropic bodies; 5.5 Helmholtz's decomposition theorem; 5.6 Statics for isotropic bodies; 5.7 Microscopic structure and dislocations; Exercises; 6 Classical fluids; 6.1 Stokesian and Newtonian fluids: Navier-Stokes equations; 6.2 Some special fluids and flows; Exercises; 7 Geophysical fluid dynamics 7.1 Dimensional analysis and dimensionless form7.2 Dimensionless numbers; Exercises; 8 Computation in continuum mechanics; 8.1 Review of partial differential equations; 8.2 Survey of numerical methods; 9 Nonlinearity in the Earth; 9.1 Friction; 9.2 Fracture; 9.3 Percolation and self-organized criticality; 9.4 Fractals; References; Index |
Record Nr. | UNINA-9910790281003321 |
Newman William I. | ||
Cambridge : , : Cambridge University Press, , 2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Inverse problems : basics, theory and applications in geophysics / / Mathias Richter |
Autore | Richter Mathias |
Edizione | [Second edition.] |
Pubbl/distr/stampa | Cham, Switzerland : , : BirkhaÌuser, , [2020] |
Descrizione fisica | 1 online resource (XIV, 273 p. 57 illus., 43 illus. in color.) |
Disciplina | 515.357 |
Collana | Lecture Notes in Geosystems Mathematics and Computing |
Soggetto topico |
Inverse problems (Differential equations)
Geophysics - Mathematics Earth sciences |
ISBN | 3-030-59317-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Characterization of Inverse Problems -- Discretization of Inverse Problems -- Regularization of Linear Inverse Problems -- Regularization of Nonlinear Inverse Problems -- Appendix A. Results from Linear Algebra -- Appendix B. Function Spaces -- Appendix C. The Fourier Transform -- Appendix D. Regularization Property of CGNE -- Appendix E. Existence and Uniqueness Theorems for Waveform Inversion. |
Record Nr. | UNINA-9910483226503321 |
Richter Mathias | ||
Cham, Switzerland : , : BirkhaÌuser, , [2020] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Inverse problems : basics, theory and applications in geophysics / / Mathias Richter |
Autore | Richter Mathias |
Edizione | [Second edition.] |
Pubbl/distr/stampa | Cham, Switzerland : , : BirkhaÌuser, , [2020] |
Descrizione fisica | 1 online resource (XIV, 273 p. 57 illus., 43 illus. in color.) |
Disciplina | 515.357 |
Collana | Lecture Notes in Geosystems Mathematics and Computing |
Soggetto topico |
Inverse problems (Differential equations)
Geophysics - Mathematics Earth sciences |
ISBN | 3-030-59317-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Characterization of Inverse Problems -- Discretization of Inverse Problems -- Regularization of Linear Inverse Problems -- Regularization of Nonlinear Inverse Problems -- Appendix A. Results from Linear Algebra -- Appendix B. Function Spaces -- Appendix C. The Fourier Transform -- Appendix D. Regularization Property of CGNE -- Appendix E. Existence and Uniqueness Theorems for Waveform Inversion. |
Record Nr. | UNISA-996418200503316 |
Richter Mathias | ||
Cham, Switzerland : , : BirkhaÌuser, , [2020] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Inverse problems of electromagnetic geophysical fields / / P.S. Martyshko |
Autore | Martyshko P. S (Petr Sergeevich) |
Edizione | [Reprint 2014] |
Pubbl/distr/stampa | Utrecht, The Netherlands : , : VSP, , 1999 |
Descrizione fisica | 1 online resource (127 pages) : illustrations |
Disciplina | 538/.72/0151 |
Collana | Inverse and ill-posed problems series |
Soggetto topico |
Electromagnetic fields - Mathematics
Geophysics - Mathematics Inverse problems (Differential equations) Integral equations - Numerical solutions |
Soggetto genere / forma | Electronic books. |
ISBN | 3-11-094328-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Two-dimensional problems of a magnetic exploration method involving artificial field magnetization and electric exploration by a direct current -- Chapter 2. The effective algorithms of solution of direct and inverse three-dimensional problems of magnetic exploration taking account of demagnetization -- Chapter 3. Mathematical theory and algorithms of the solution of three-dimensional inverse problems of electric exploration with a direct current -- Chapter 4. Explicit equations for inverse problems of electromagnetic field -- Bibliography |
Record Nr. | UNINA-9910463705403321 |
Martyshko P. S (Petr Sergeevich) | ||
Utrecht, The Netherlands : , : VSP, , 1999 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Inverse problems of electromagnetic geophysical fields / / P.S. Martyshko |
Autore | Martyshko P. S (Petr Sergeevich) |
Edizione | [Reprint 2014] |
Pubbl/distr/stampa | Utrecht, The Netherlands : , : VSP, , 1999 |
Descrizione fisica | 1 online resource (127 pages) : illustrations |
Disciplina | 538/.72/0151 |
Collana | Inverse and ill-posed problems series |
Soggetto topico |
Electromagnetic fields - Mathematics
Geophysics - Mathematics Inverse problems (Differential equations) Integral equations - Numerical solutions |
ISBN | 3-11-094328-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Two-dimensional problems of a magnetic exploration method involving artificial field magnetization and electric exploration by a direct current -- Chapter 2. The effective algorithms of solution of direct and inverse three-dimensional problems of magnetic exploration taking account of demagnetization -- Chapter 3. Mathematical theory and algorithms of the solution of three-dimensional inverse problems of electric exploration with a direct current -- Chapter 4. Explicit equations for inverse problems of electromagnetic field -- Bibliography |
Record Nr. | UNINA-9910788954803321 |
Martyshko P. S (Petr Sergeevich) | ||
Utrecht, The Netherlands : , : VSP, , 1999 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Inverse problems of electromagnetic geophysical fields / / P.S. Martyshko |
Autore | Martyshko P. S (Petr Sergeevich) |
Edizione | [Reprint 2014] |
Pubbl/distr/stampa | Utrecht, The Netherlands : , : VSP, , 1999 |
Descrizione fisica | 1 online resource (127 pages) : illustrations |
Disciplina | 538/.72/0151 |
Collana | Inverse and ill-posed problems series |
Soggetto topico |
Electromagnetic fields - Mathematics
Geophysics - Mathematics Inverse problems (Differential equations) Integral equations - Numerical solutions |
ISBN | 3-11-094328-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Two-dimensional problems of a magnetic exploration method involving artificial field magnetization and electric exploration by a direct current -- Chapter 2. The effective algorithms of solution of direct and inverse three-dimensional problems of magnetic exploration taking account of demagnetization -- Chapter 3. Mathematical theory and algorithms of the solution of three-dimensional inverse problems of electric exploration with a direct current -- Chapter 4. Explicit equations for inverse problems of electromagnetic field -- Bibliography |
Record Nr. | UNINA-9910809297803321 |
Martyshko P. S (Petr Sergeevich) | ||
Utrecht, The Netherlands : , : VSP, , 1999 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Mathematical geophysics [[electronic resource] ] : an introduction to rotating fluids and the Navier-Stokes equations / / J.-Y. Chemin ... [et al.] |
Pubbl/distr/stampa | Oxford, : Clarendon Press |
Descrizione fisica | 1 online resource (263 p.) |
Disciplina | 532/.0595 |
Altri autori (Persone) | CheminJean-Yves |
Collana | Oxford lecture series in mathematics and its applications |
Soggetto topico |
Rotating masses of fluid
Navier-Stokes equations Geophysics - Mathematics |
Soggetto genere / forma | Electronic books. |
ISBN |
0-19-191674-9
1-280-90407-0 1-61583-062-6 0-19-151389-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Contents; Preface; Acknowledgements; PART I: GENERAL INTRODUCTION; PART II: ON THE NAVIER-STOKES EQUATIONS; 1 Some elements of functional analysis; 2 Weak solutions of the Navier-Stokes equations; 3 Stability of Navier-Stokes equations; 4 References and remarks on the Navier-Stokes equations; PART III: ROTATING FLUIDS; 5 Dispersive cases; 6 The periodic case; 7 Ekman boundary layers for rotating fluids; 8 References and remarks on rotating fluids; PART IV: PERSPECTIVES; 9 Stability of horizontal boundary layers; 10 Other systems; 11 Vertical layers; 12 Other layers; References
List of NotationsIndex; A; B; C; D; E; F; G; H; I; L; M; O; P; Q; R; S; T; W; Y |
Record Nr. | UNINA-9910451153803321 |
Oxford, : Clarendon Press | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Mathematical geophysics [[electronic resource] ] : an introduction to rotating fluids and the Navier-Stokes equations / / J.-Y. Chemin ... [et al.] |
Pubbl/distr/stampa | Oxford, : Clarendon Press |
Descrizione fisica | 1 online resource (263 p.) |
Disciplina | 532/.0595 |
Altri autori (Persone) | CheminJean-Yves |
Collana | Oxford lecture series in mathematics and its applications |
Soggetto topico |
Rotating masses of fluid
Navier-Stokes equations Geophysics - Mathematics |
ISBN |
0-19-191674-9
1-280-90407-0 1-61583-062-6 0-19-151389-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Contents; Preface; Acknowledgements; PART I: GENERAL INTRODUCTION; PART II: ON THE NAVIER-STOKES EQUATIONS; 1 Some elements of functional analysis; 2 Weak solutions of the Navier-Stokes equations; 3 Stability of Navier-Stokes equations; 4 References and remarks on the Navier-Stokes equations; PART III: ROTATING FLUIDS; 5 Dispersive cases; 6 The periodic case; 7 Ekman boundary layers for rotating fluids; 8 References and remarks on rotating fluids; PART IV: PERSPECTIVES; 9 Stability of horizontal boundary layers; 10 Other systems; 11 Vertical layers; 12 Other layers; References
List of NotationsIndex; A; B; C; D; E; F; G; H; I; L; M; O; P; Q; R; S; T; W; Y |
Record Nr. | UNINA-9910777029903321 |
Oxford, : Clarendon Press | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|