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| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA297. FCT 97711 (Browse shelf) | 1 | Available |
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| QA297. FCT 97308 Iterative solution of large sparse systems of equations | QA297. FCT 97434 Recent advances in mathematical sciences | QA297. FCT 97462 Advances in iterative methods for nonlinear equations | QA297. FCT 97711 Attractors under discretisation | QA297. FCT 97769 Multivariable calculus with applications | QA297. FCT 97771 Mobius invariant QK spaces | QA297. FCT 97814 Numerical models for differential problems |
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This work focuses on the preservation of attractors and saddle points of ordinary differential equations under discretisation. In the 1980s, key results for autonomous ordinary differential equations were obtained – by Beyn for saddle points and by Kloeden & Lorenz for attractors. One-step numerical schemes with a constant step size were considered, so the resulting discrete time dynamical system was also autonomous. One of the aims of this book is to present new findings on the discretisation of dissipative nonautonomous dynamical systems that have been obtained in recent years, and in particular to examine the properties of nonautonomous omega limit sets and their approximations by numerical schemes – results that are also of importance for autonomous systems approximated by a numerical scheme with variable time steps, thus by a discrete time nonautonomous dynamical system.
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