Numerical Approximation of Exact Controls for Waves
indgår i SpringerBriefs in Mathematics serien
- Indbinding:
- Paperback
- Sideantal:
- 140
- Udgivet:
- 17. februar 2013
- Størrelse:
- 155x8x235 mm.
- Vægt:
- 224 g.
- 8-11 hverdage.
- 21. november 2024
På lager
Normalpris
Abonnementspris
- Rabat på køb af fysiske bøger
- 1 valgfrit digitalt ugeblad
- 20 timers lytning og læsning
- Adgang til 70.000+ titler
- Ingen binding
Abonnementet koster 75 kr./md.
Ingen binding og kan opsiges når som helst.
- 1 valgfrit digitalt ugeblad
- 20 timers lytning og læsning
- Adgang til 70.000+ titler
- Ingen binding
Abonnementet koster 75 kr./md.
Ingen binding og kan opsiges når som helst.
Beskrivelse af Numerical Approximation of Exact Controls for Waves
¿¿¿¿¿¿This book is devoted to fully developing and comparing the two main approaches to the numerical approximation of controls for wave propagation phenomena: the continuous and the discrete. This is accomplished in the abstract functional setting of conservative semigroups.The main results of the work unify, to a large extent, these two approaches, which yield similaralgorithms and convergence rates. The discrete approach, however, gives not only efficient numerical approximations of the continuous controls, but also ensures some partial controllability properties of the finite-dimensional approximated dynamics. Moreover, it has the advantage of leading to iterative approximation processes that converge without a limiting threshold in the number of iterations. Such a threshold, which is hard to compute and estimate in practice, is a drawback of the methods emanating from the continuous approach. To complement this theory, the book provides convergence results for the discrete wave equation when discretized using finite differences and proves the convergence of the discrete wave equation with non-homogeneous Dirichlet conditions. The first book to explore these topics in depth, "On the Numerical Approximations of Controls for Waves" has rich applications to data assimilation problems and will be of interest to researchers who deal with wave approximations.¿
Brugerbedømmelser af Numerical Approximation of Exact Controls for Waves
Giv din bedømmelse
For at bedømme denne bog, skal du være logget ind.Andre købte også..
Find lignende bøger
Bogen Numerical Approximation of Exact Controls for Waves findes i følgende kategorier:
- Business og læring > Computer og IT
- Reference, information og tværfaglige emner > Forskning og information: generelt > Informationsteori > Kybernetik og systemteori
- Matematik og naturvidenskab > Matematik > Regning og matematisk analyse > Differentialregning og differentialligninger
- Matematik og naturvidenskab > Matematik > Regning og matematisk analyse > Numerisk analyse
- Matematik og naturvidenskab > Matematik > Anvendt matematik
- Databehandling og informationsteknologi > Programmering / softwareudvikling > Algoritmer og datastrukturer
© 2024 Pling BØGER Registered company number: DK43351621