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Modellistica numerica per problemi differenziali = Numerical modeling for differential problems
This text introduces the basic concepts for the numerical modeling of partial differential problems. We consider the classic elliptic, parabolic and hyperbolic linear equations, but also other equations, such as those of diffusion and transport, of Navier-Stokes, and the conservation laws, and we provide numerous physical examples underlying these equations. Then we analyze numerical resolution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods. In particular, the algorithmic and computer implementation aspects are discussed and various easy-to-use programs are provided.
Modellistica Numerica per Problemi Differenziali = Numerical Modeling for Differential Problems
This text introduces the fundamental concepts for the numerical modeling of partial differential problems. We consider the classic linear elliptic, parabolic and hyperbolic equations, but also other equations, such as those of diffusion and transport, of Navier-Stokes, and the conservation laws. Numerous physical examples underlying these equations are provided, their main mathematical properties are studied, then numerical resolution methods based on finite elements, finite differences, finite volumes and spectral methods are proposed and analyzed. In particular, the algorithmic and computer implementation aspects are discussed and some easy-to-use programs in C ++ language are provided. The text does not presuppose an advanced mathematical knowledge of partial differential equations: the strictly indispensable concepts in this regard are reported in the Appendix. The volume is therefore suitable for students of scientific degree courses (Engineering, Mathematics, Physics, Chemistry, Information Sciences) and recommended for researchers from the academic and extra-academic world who want to approach this interesting branch of applied mathematics.
Meccanica delle strutture e Controllo attivo strutturale: Modellistica di edifici, ponti, camini, strutture speciali
The basic texts of Structural Engineering, present in the literature, mostly give introductory examples. This text, however, after having given the disciplinary foundations, goes further to guide the reader in the construction of advanced mathematical models ... It is an unprecedented "compromise" between basic theory text and advanced text for advanced-professionals and researchers. Furthermore, the presence in the volume of "synoptic panels" and software cards gives the reader the possibility of always having at hand the foundations of a complex discipline.
Esercizi di fisica : Meccanica e termodinamica = Physics exercises : Mechanics and thermodynamics
La risoluzione di esercizi rappresenta uno strumento indispensabile per raggiungere una comprensione sicura e approfondita dei concetti di Fisica appresi dai corsi e dai testi di teoria. Frutto di una lunga esperienza didattica dei due autori nell'insegnamento universitario della meccanica e della termodinamica, questa raccolta contiene 188 esercizi, di cui 91 completamente risolti ed accompagnati da un ampio corredo di figure. Il peimo capitolo presenta un'introduzione ai sistemi di unità di misura, al calcolo dimensionale, all'uso corretto delle cifre significative e degli arrotondamenti, ai grafici. Gli altri capitoli contengono gli esercizi, suddivisi per argomento e preceduti da una serie di paragrafi riassuntivi dei concetti fondamentali. Criterio ispiratore di questo lavoro è l'adozione di una metodologia per la soluzione degli esercizi basata sempre sull'analisi accurata dei dati a disposizione e sul riferimento ai principi e alle leggi della Fisica, mai alla sola intuizione.
Elementi di fluidodinamica : Un'introduzione per l'Ingegneria = Elements of fluid dynamics : An introduction for engineering
The text offers a first approach to fluid dynamics, at an appropriate formal level. It emphasizes mathematical and numerical approaches to problems, encouraging the reader to acquire sufficient cultural independence for further study.
