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Attractors under discretisation / / by Xiaoying Han, Peter Kloeden
| Attractors under discretisation / / by Xiaoying Han, Peter Kloeden |
| Autore | Han Xiaoying |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (121 pages) |
| Disciplina | 514.74 |
| Collana | SpringerBriefs in Mathematics |
| Soggetto topico |
Numerical analysis
Dynamics Ergodic theory Differential equations Numerical Analysis Dynamical Systems and Ergodic Theory Ordinary Differential Equations |
| ISBN | 3-319-61934-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I Dynamical systems and numerical schemes -- 1 Lyapunov stability and dynamical systems -- 2 One step numerical schemes -- Part II Steady states under discretization -- 3 Linear systems -- 4 Lyapunov functions -- 5 Dissipative systems with steady states -- 6 Saddle points under discretisation . Part III Autonomous attractors under discretization -- 7 Dissipative systems with attractors -- 8 Lyapunov functions for attractors -- 9 Discretisation of an attractor. Part IV Nonautonomous limit sets under discretization -- 10 Dissipative nonautonomous systems -- 11 Discretisation of nonautonomous limit sets -- 12 Variable step size -- 13 Discretisation of a uniform pullback attractor -- Notes -- References. |
| Record Nr. | UNINA-9910254302003321 |
Han Xiaoying
|
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Random Ordinary Differential Equations and Their Numerical Solution / / by Xiaoying Han, Peter E. Kloeden
| Random Ordinary Differential Equations and Their Numerical Solution / / by Xiaoying Han, Peter E. Kloeden |
| Autore | Han Xiaoying |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XVII, 250 p. 21 illus. in color.) |
| Disciplina | 515.35 |
| Collana | Probability Theory and Stochastic Modelling |
| Soggetto topico |
Probabilities
Numerical analysis Differential equations Biomathematics Probability Theory and Stochastic Processes Numeric Computing Ordinary Differential Equations Mathematical and Computational Biology |
| ISBN | 981-10-6265-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Reading Guide -- Part I Random and Stochastic Ordinary Differential Equations -- 1.Introduction.-. 2.Random ordinary differential equations -- 3.Stochastic differential equations -- 4.Random dynamical systems -- 5.Numerical dynamics -- Part II Taylor Expansions -- 6.Taylor expansions for ODEs and SODEs -- 7.Taylor expansions for RODEs with affine noise -- 8.Taylor expansions for general RODEs -- Part III Numerical Schemes for Random Ordinary Differential Equations -- 9.Numerical methods for ODEs and SODEs -- 10.Numerical schemes: RODEs with Itô noise -- 11.Numerical schemes: affine noise -- 12.RODE–Taylor schemes -- 13.Numerical stability -- 14.Stochastic integrals -- Part IV Random Ordinary Differential Equations in the Life Sciences -- 15.Simulations of biological systems -- 16.Chemostat -- 17.Immune system virus model -- 18.Random Markov chains -- Part V Appendices -- A.Probability spaces -- B.Chain rule for affine RODEs -- C.Fractional Brownian motion -- References -- Index. |
| Record Nr. | UNINA-9910254288303321 |
|
Han Xiaoying
|
||
| Singapore : , : Springer Singapore : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||