Advanced computational dynamics of particles, materials and structures [[electronic resource] ] : [a unified approach] / / Jason Har and Kumar K. Tamma |
Autore | Har Jason |
Pubbl/distr/stampa | West Sussex [England], : John Wiley & Sons, 2012 |
Descrizione fisica | xxiv, 686 p. : ill |
Disciplina | 531/.163 |
Altri autori (Persone) | TammaKumar K |
Soggetto topico |
Dynamics
Dynamics - Data processing |
ISBN |
1-119-96693-0
1-119-96590-X 9786613688859 1-119-96589-6 1-280-77846-6 1-119-96692-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | pt. 1. N-body dynamical systems -- pt. 2. Continuous-body dynamical systems -- pt. 3. The time dimension. |
Record Nr. | UNINA-9910208829703321 |
Har Jason | ||
West Sussex [England], : John Wiley & Sons, 2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Advanced computational dynamics of particles, materials and structures : [a unified approach] / / Jason Har and Kumar K. Tamma |
Autore | Har Jason |
Edizione | [2nd ed.] |
Pubbl/distr/stampa | West Sussex [England], : John Wiley & Sons, 2012 |
Descrizione fisica | xxiv, 686 p. : ill |
Disciplina | 531/.163 |
Altri autori (Persone) | TammaKumar K |
Soggetto topico |
Dynamics
Dynamics - Data processing |
ISBN |
1-119-96693-0
1-119-96590-X 9786613688859 1-119-96589-6 1-280-77846-6 1-119-96692-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | pt. 1. N-body dynamical systems -- pt. 2. Continuous-body dynamical systems -- pt. 3. The time dimension. |
Record Nr. | UNINA-9910813040403321 |
Har Jason | ||
West Sussex [England], : John Wiley & Sons, 2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Introduction to classical integrable systems / / Olivier Babelon, Denis Bernard, Michel Talon [[electronic resource]] |
Autore | Babelon Olivier <1951-> |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2003 |
Descrizione fisica | 1 online resource (xi, 602 pages) : digital, PDF file(s) |
Disciplina | 531/.163 |
Collana | Cambridge monographs on mathematical physics |
Soggetto topico |
Dynamics
Hamiltonian systems |
ISBN |
1-107-13688-1
0-511-06204-4 1-280-43649-2 9786610436491 0-511-17912-X 1-139-14899-0 0-511-05571-4 0-511-32377-8 0-511-53502-3 0-511-07050-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ; 1. Introduction -- ; 2. Integrable dynamical systems -- ; 3. Synopsis of integrable systems -- ; 4 Algebraic methods -- ; 5. Analytical methods -- ; 6. The closed Toda chain -- 7. The Calogero-Moser model -- ; 8. Isomonodromic deformations -- ; 9. Grassmannian and integrable hierarchies -- ; 10. The KP hierarchy -- ; 11. The KdV hierarchy -- ; 12. The Toda field Theories -- ; 13 Classical inverse scattering method -- ; 14. Symplectic geometry -- ; 15. Riemann surfaces -- ; 16. Lie algebras. |
Record Nr. | UNINA-9910450548503321 |
Babelon Olivier <1951-> | ||
Cambridge : , : Cambridge University Press, , 2003 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Introduction to classical integrable systems / / Olivier Babelon, Denis Bernard, Michel Talon [[electronic resource]] |
Autore | Babelon Olivier <1951-> |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2003 |
Descrizione fisica | 1 online resource (xi, 602 pages) : digital, PDF file(s) |
Disciplina | 531/.163 |
Collana | Cambridge monographs on mathematical physics |
Soggetto topico |
Dynamics
Hamiltonian systems |
ISBN |
1-107-13688-1
0-511-06204-4 1-280-43649-2 9786610436491 0-511-17912-X 1-139-14899-0 0-511-05571-4 0-511-32377-8 0-511-53502-3 0-511-07050-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ; 1. Introduction -- ; 2. Integrable dynamical systems -- ; 3. Synopsis of integrable systems -- ; 4 Algebraic methods -- ; 5. Analytical methods -- ; 6. The closed Toda chain -- 7. The Calogero-Moser model -- ; 8. Isomonodromic deformations -- ; 9. Grassmannian and integrable hierarchies -- ; 10. The KP hierarchy -- ; 11. The KdV hierarchy -- ; 12. The Toda field Theories -- ; 13 Classical inverse scattering method -- ; 14. Symplectic geometry -- ; 15. Riemann surfaces -- ; 16. Lie algebras. |
Record Nr. | UNINA-9910783284203321 |
Babelon Olivier <1951-> | ||
Cambridge : , : Cambridge University Press, , 2003 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Introduction to classical integrable systems / / Olivier Babelon, Denis Bernard, Michel Talon |
Autore | Babelon Olivier <1951-> |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Cambridge ; ; New York, : Cambridge University Press, 2003 |
Descrizione fisica | 1 online resource (xi, 602 pages) : digital, PDF file(s) |
Disciplina | 531/.163 |
Altri autori (Persone) |
BernardDenis <1961->
TalonMichel <1952-> |
Collana | Cambridge monographs on mathematical physics |
Soggetto topico |
Dynamics
Hamiltonian systems |
ISBN |
1-107-13688-1
0-511-06204-4 1-280-43649-2 9786610436491 0-511-17912-X 1-139-14899-0 0-511-05571-4 0-511-32377-8 0-511-53502-3 0-511-07050-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ; 1. Introduction -- ; 2. Integrable dynamical systems -- ; 3. Synopsis of integrable systems -- ; 4 Algebraic methods -- ; 5. Analytical methods -- ; 6. The closed Toda chain -- 7. The Calogero-Moser model -- ; 8. Isomonodromic deformations -- ; 9. Grassmannian and integrable hierarchies -- ; 10. The KP hierarchy -- ; 11. The KdV hierarchy -- ; 12. The Toda field Theories -- ; 13 Classical inverse scattering method -- ; 14. Symplectic geometry -- ; 15. Riemann surfaces -- ; 16. Lie algebras. |
Record Nr. | UNINA-9910818496003321 |
Babelon Olivier <1951-> | ||
Cambridge ; ; New York, : Cambridge University Press, 2003 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Understanding the discrete element method : simulation of non-spherical particles for granular and multi-body systems / / Hans-Georg Matuttis, Jian Chen |
Autore | Matuttis Hans-Georg |
Pubbl/distr/stampa | Singapore : , : Wiley, , 2014 |
Descrizione fisica | 1 online resource (480 p.) |
Disciplina | 531/.163 |
Soggetto topico |
Granular flow
Discrete element method Multibody systems Mechanics, Applied - Computer simulation |
ISBN |
1-118-56728-5
1-118-56722-6 1-118-56721-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
UNDERSTANDING THE DISCRETE ELEMENT METHOD SIMULATION OF NON-SPHERICAL PARTICLES FOR GRANULARAND MULTI-BODY SYSTEMS; Copright; Contents; Exercises; About the Authors; Preface; Acknowledgements; List of Abbreviations; 1 Mechanics; 1.1 Degrees of freedom; 1.1.1 Particle mechanics and constraints; 1.1.2 From point particles to rigid bodies; 1.1.3 More context and terminology; 1.2 Dynamics of rectilinear degrees of freedom; 1.3 Dynamics of angular degrees of freedom; 1.3.1 Rotation in two dimensions; 1.3.2 Moment of inertia; 1.3.3 From two to three dimensions
1.3.4 Rotation matrix in three dimensions1.3.5 Three-dimensional moments of inertia; 1.3.6 Space-fixed and body-fixed coordinate systems andequations of motion; 1.3.7 Problems with Euler angles; 1.3.8 Rotations represented using complex numbers; 1.3.9 Quaternions; 1.3.10 Derivation of quaternion dynamics; 1.4 The phase space; 1.4.1 Qualitative discussion of the time dependence of linear oscillations; 1.4.2 Resonance; 1.4.3 The flow in phase space; 1.5 Nonlinearities; 1.5.1 Harmonic balance; 1.5.2 Resonance in nonlinear systems; 1.5.3 Higher harmonics and frequency mixing 1.5.4 The van der Pol oscillator1.6 From higher harmonics to chaos; 1.6.1 The bifurcation cascade; 1.6.2 The nonlinear frictional oscillator and Poincar ́e maps; 1.6.3 The route to chaos; 1.6.4 Boundary conditions and many-particle systems; 1.7 Stability and conservationlaws; 1.7.1 Stability in statics; 1.7.2 Stability in dynamics; 1.7.3 Stable axes of rotation around the principal axis; 1.7.4 Noether's theorem and conservation laws; 1.8 Further reading; Exercises; References; 2Numerical Integration of OrdinaryDifferential Equations; 2.1 Fundamentals of numerical analysis 2.1.1 Floating point numbers2.1.2 Big-O notation; 2.1.3 Relative and absolute error; 2.1.4 Truncation error; 2.1.5 Local and global error; 2.1.6 Stability; 2.1.7 Stable integrators for unstable problems; 2.2 Numerical analysis for ordinary differential equations; 2.2.1 Variable notation and transformation of the order of adifferential equation; 2.2.2 Differences in the simulation of atoms and molecules,as compared to macroscopic particles; 2.2.3 Truncation error for solutions of ordinary differential equations; 2.2.4 Fundamental approaches; 2.2.5 Explicit Euler method 2.2.6 Implicit Euler method2.3 Runge-Kutta methods; 2.3.1 Adaptive step-size control; 2.3.2 Dense output and event location; 2.3.3 Partitioned Runge-Kutta methods; 2.4 Symplectic methods; 2.4.1 The classical Verlet method; 2.4.2 Velocity-Verlet methods; 2.4.3 Higher-order velocity-Verlet methods; 2.4.4 Pseudo-symplectic methods; 2.4.5 Order, accuracy and energy conservation; 2.4.6 Backward error analysis; 2.4.7 Case study: the harmonic oscillator with andwithout viscous damping; 2.5 Stiff problems; 2.5.1 Evaluating computational costs; 2.5.2 Stiff solutions and error as noise 2.5.3 Order reduction |
Record Nr. | UNINA-9910132498003321 |
Matuttis Hans-Georg | ||
Singapore : , : Wiley, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Understanding the discrete element method : simulation of non-spherical particles for granular and multi-body systems / / Hans-Georg Matuttis, Jian Chen |
Autore | Matuttis Hans-Georg |
Pubbl/distr/stampa | Singapore : , : Wiley, , 2014 |
Descrizione fisica | 1 online resource (480 p.) |
Disciplina | 531/.163 |
Soggetto topico |
Granular flow
Discrete element method Multibody systems Mechanics, Applied - Computer simulation |
ISBN |
1-118-56728-5
1-118-56722-6 1-118-56721-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
UNDERSTANDING THE DISCRETE ELEMENT METHOD SIMULATION OF NON-SPHERICAL PARTICLES FOR GRANULARAND MULTI-BODY SYSTEMS; Copright; Contents; Exercises; About the Authors; Preface; Acknowledgements; List of Abbreviations; 1 Mechanics; 1.1 Degrees of freedom; 1.1.1 Particle mechanics and constraints; 1.1.2 From point particles to rigid bodies; 1.1.3 More context and terminology; 1.2 Dynamics of rectilinear degrees of freedom; 1.3 Dynamics of angular degrees of freedom; 1.3.1 Rotation in two dimensions; 1.3.2 Moment of inertia; 1.3.3 From two to three dimensions
1.3.4 Rotation matrix in three dimensions1.3.5 Three-dimensional moments of inertia; 1.3.6 Space-fixed and body-fixed coordinate systems andequations of motion; 1.3.7 Problems with Euler angles; 1.3.8 Rotations represented using complex numbers; 1.3.9 Quaternions; 1.3.10 Derivation of quaternion dynamics; 1.4 The phase space; 1.4.1 Qualitative discussion of the time dependence of linear oscillations; 1.4.2 Resonance; 1.4.3 The flow in phase space; 1.5 Nonlinearities; 1.5.1 Harmonic balance; 1.5.2 Resonance in nonlinear systems; 1.5.3 Higher harmonics and frequency mixing 1.5.4 The van der Pol oscillator1.6 From higher harmonics to chaos; 1.6.1 The bifurcation cascade; 1.6.2 The nonlinear frictional oscillator and Poincar ́e maps; 1.6.3 The route to chaos; 1.6.4 Boundary conditions and many-particle systems; 1.7 Stability and conservationlaws; 1.7.1 Stability in statics; 1.7.2 Stability in dynamics; 1.7.3 Stable axes of rotation around the principal axis; 1.7.4 Noether's theorem and conservation laws; 1.8 Further reading; Exercises; References; 2Numerical Integration of OrdinaryDifferential Equations; 2.1 Fundamentals of numerical analysis 2.1.1 Floating point numbers2.1.2 Big-O notation; 2.1.3 Relative and absolute error; 2.1.4 Truncation error; 2.1.5 Local and global error; 2.1.6 Stability; 2.1.7 Stable integrators for unstable problems; 2.2 Numerical analysis for ordinary differential equations; 2.2.1 Variable notation and transformation of the order of adifferential equation; 2.2.2 Differences in the simulation of atoms and molecules,as compared to macroscopic particles; 2.2.3 Truncation error for solutions of ordinary differential equations; 2.2.4 Fundamental approaches; 2.2.5 Explicit Euler method 2.2.6 Implicit Euler method2.3 Runge-Kutta methods; 2.3.1 Adaptive step-size control; 2.3.2 Dense output and event location; 2.3.3 Partitioned Runge-Kutta methods; 2.4 Symplectic methods; 2.4.1 The classical Verlet method; 2.4.2 Velocity-Verlet methods; 2.4.3 Higher-order velocity-Verlet methods; 2.4.4 Pseudo-symplectic methods; 2.4.5 Order, accuracy and energy conservation; 2.4.6 Backward error analysis; 2.4.7 Case study: the harmonic oscillator with andwithout viscous damping; 2.5 Stiff problems; 2.5.1 Evaluating computational costs; 2.5.2 Stiff solutions and error as noise 2.5.3 Order reduction |
Record Nr. | UNINA-9910821695203321 |
Matuttis Hans-Georg | ||
Singapore : , : Wiley, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|