Iterative methods for quasilinear hyperbolic systems in the first canonic form

References

• Bassanini , P. and Filiaggi , E. 1979 . Schemi iterativi e accelerazione della convergenza per operatori di contrazione nel prodotto di due spazi di Banach . Atti Sern. Mat. Fis. Univ. Modena , 28 : 249 – 279 .
   Google Scholar
• Bassanini , P. 1978 . On the existence time of smooth solutions of Quasiiinear hyperbolic systems in the first canonic form . Boll. U.M.I , 15 : 214 – 224 .
   Google Scholar
• Bassanini , p. 1979 . An application of Lax's estimates to the determination of critical crystal thickness in nonlinear laser optics . J. Math. Phys , 20 : 1650 – 1652 .
   Google Scholar
• Bassanini , P. 1976 . A nonlinear hyperbolic problem arising from a question of nonlinear optics . ZAMP , 27 : 409 – 422 .
   Google Scholar
• Bassanini , P. 1976 . Su una recente dimostrazione circa ii problema di Cauchy per sistemi quasilineari iperbolici . Boll U.M.I , 13 : 322 – 335 .
   Google Scholar
• Bassanini , P. 1977 . On a recent proof concerning a boundary value problem for quasiiinear hyperbolic systems in the Schauder canonic form . Boll U.M.L , 14 : 325 – 332 .
   Google Scholar
• Bassanini , P. and lCesari , L. 1977 . La duplicazione di frequenza nella radiazione laser . Rend. Accad. Naz. Lincei , 14
   Google Scholar
• Cesari , L. 1974 . Sistemi iperbolici ed oscillazioni non lineari . Rend. Sem. Mat. Fis. Univ. Milano , 44 : 139 – 154 .
   Google Scholar
• Cesari , L. 1974 . Un problema ai limiti per sistemi di equazioni iperboliche quasi lineari alle derivate parziali . Rend. Acead. Naz. Lincei , 56 : 201 – 205 .
   Google Scholar
• Cesari , L. 1974 . A bounuun value problem for quasilinear hyperbolic systems . Riv. Mat. Univ. Parma , 3 : 107 – 131 .
   Google Scholar
• Cesari , L. 1974 . Existence theorems for nonlinear problems and numerical methods . Conf. Sem, Mat. Univ. Bari , 3
   Google Scholar
• Cesari , L. , Hou , S. and Turner , J. 1978 . The duplication of frequency of laser radiation through nonlinear media , Report, Univ, of Michigan .
   Google Scholar
• M.Cmquini , Cibrario and Cinquini , S. 1964 . Equazioni a Derivative Parziali di Tipo Iperbotico Cremonese, Roma
   Google Scholar
• Filiaggi , E. 1979 . Metodi numerici per sistemi iperbolici quasilineari e applicazione al problema del laser , U. of Perugia .
   Google Scholar
• Lax , P.D. 1953 . Nonlinear hyperbolic equations . Comm. Pure Appl. Math , 4 : 231 – 258 .
   Google Scholar
• Pucci , P. 1979 . Problem! ai limiti per sistemi di equazioni iperboliche . Boll. U.M.I , 16 : 119 – 128 .
   Google Scholar
• Rozhdestvenskit , B.L. and Sidorenko , A.D. 1967 . Impossibility of the gradient catastrophe for slightly nonlinear systems . Zh. Vychisl. Mat. mat. Fiz , 7 : 1176 – 1179 .
   Google Scholar
• Schneider , K.R. 1978 . Zur Konvergenzbeschieunigung bei Summen strikt kontraktiver Operatoren . ZAMM , 58 : 383 – 389 .
   Google Scholar
• Sidorenko , A.D. 1974 . A theorem on the impossibility of a gradient catastrophe for a class of multidemensinal system for quasilinger equations . Diff.uravn , 10 : 1328 – 1331 .
   Google Scholar