{"text_format":"2","workbook":"xls","n_sheets":1,"sheets":["report2"],"not_rendered":{"charts":0,"images":0,"macros":0,"external_links":1,"defined_names":2,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"run_cost":"one","rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900","formulas":"cached_only"}

{"sheet":"report2","index":0,"n_rows":38,"n_cols":5,"rows_kept":38,"cut":false,"hidden":false,"merged":[[0,2,0,3],[0,4,0,5],[1,2,1,3],[1,4,1,5],[2,2,2,3],[2,4,2,5],[3,2,3,3],[4,2,4,3],[5,2,5,3],[6,2,6,3],[7,2,7,3],[8,2,8,3],[9,2,9,3],[10,2,10,3],[16,2,16,3],[17,2,17,3],[21,2,21,3],[24,2,24,3],[24,4,24,5],[25,2,25,3],[25,4,25,5],[26,2,26,3],[26,4,26,5],[27,2,27,3],[28,2,28,3],[29,2,29,3],[30,2,30,3],[31,2,31,3],[32,2,32,3],[33,2,33,3],[34,2,34,3],[35,2,35,3]],"flags":["formulas_cached_only"]}
[null,"1.","Record Nr.",null,"UNISA996466770503316"]
[null,null,"Autore",null,"Fruchard Augustin"]
[null,null,"Titolo",null,"Composite Asymptotic Expansions [[electronic resource] /] / by Augustin Fruchard, Reinhard Schafke"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013"]
[null,null,"ISBN",null,"3-642-34035-0"]
[null,null,"Edizione",null,"[1st ed. 2013.]"]
[null,null,"Descrizione fisica",null,"1 online resource (X, 161 p. 21 illus.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 0075-8434 ; ; 2066"]
[null,null,"Classificazione",null,"41A6034E34M3034M60"]
[null,null,"Disciplina",null,"511.4"]
[null,null,"Soggetti",null,"Approximation theory"]
[{"$nulls":4},"Differential equations"]
[{"$nulls":4},"Sequences (Mathematics)"]
[{"$nulls":4},"Approximations and Expansions"]
[{"$nulls":4},"Ordinary Differential Equations"]
[{"$nulls":4},"Sequences, Series, Summability"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Four Introductory Examples -- Composite Asymptotic Expansions: General Study -- Composite Asymptotic Expansions: Gevrey Theory -- A Theorem of Ramis-Sibuya Type -- Composite Expansions and Singularly Perturbed Differential Equations -- Applications -- Historical Remarks -- References -- Index."]
[null,null,null,"Sommario/riassunto","The purpose of these lecture notes is to develop a theory of asymptotic expansions for functions involving two variables, while at the same time using functions involving one variable and functions of the quotient of these two variables. Such composite asymptotic expansions (CAsEs) are particularly well-suited to describing solutions of singularly perturbed ordinary differential equations near turning points. CAsEs imply inner and outer expansions near turning points. Thus our approach is closely related to the method of matched asymptotic expansions. CAsEs offer two unique advantages, however. First, they provide uniform expansions near a turning point and away from it. Second, a Gevrey version of CAsEs is available and detailed in the lecture notes. Three problems are presented in which CAsEs are useful. The first application concerns canard solutions near a multiple turning point. The second application concerns so-called non-smooth or angular canard solutions. Finally an Ackerberg-O’Malley resonance "]
[{"$nulls":4},"problem is solved."]
[null,"2.","Record Nr.",null,"UNINA9910679200303321"]
[null,null,"Autore",null,"Capovilla, Guido"]
[null,null,"Titolo",null,"Studi metrici / Guido Capovilla ; a cura di Emilio Torchio"]
[null,null,"Pubbl/distr/stampa",null,"Firenze, : Edizioni del Galluzzo per la Fondazione Ezio Franceschini, 2021"]
[null,null,"ISBN",null,"978-88-929-0135-3"]
[null,null,"Descrizione fisica",null,"XXVII, 395 p. ; 24 cm"]
[null,null,"Collana",null,"Quaderni di stilistica e metrica italiana ; 11"]
[null,null,"Disciplina",null,"851.009"]
[null,null,"Locazione",null,"FLFBC"]
[null,null,"Collocazione",null,"851.009 CAPG 01"]
[null,null,"Lingua di pubblicazione",null,"Italiano"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Già pubblicati"]