Numerical Methods for Conservation Laws

Capa
Springer Science & Business Media, 1992 - 214 páginas
These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. The overall emphasis is on studying the mathematical tools that are essential in de veloping, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving shock waves. A reasonable un derstanding of the mathematical structure of these equations and their solutions is first required, and Part I of these notes deals with this theory. Part II deals more directly with numerical methods, again with the emphasis on general tools that are of broad use. I have stressed the underlying ideas used in various classes of methods rather than present ing the most sophisticated methods in great detail. My aim was to provide a sufficient background that students could then approach the current research literature with the necessary tools and understanding. Without the wonders of TeX and LaTeX, these notes would never have been put together. The professional-looking results perhaps obscure the fact that these are indeed lecture notes. Some sections have been reworked several times by now, but others are still preliminary. I can only hope that the errors are. not too blatant. Moreover, the breadth and depth of coverage was limited by the length of these courses, and some parts are rather sketchy.
 

O que estão dizendo - Escrever uma resenha

Não encontramos nenhuma resenha nos lugares comuns.

Conteúdo

II
1
III
2
IV
8
V
9
VI
12
VII
14
VIII
16
IX
17
LXII
105
LXIII
108
LXIV
110
LXV
112
LXVI
115
LXVII
116
LXVIII
117
LXIX
119

X
19
XII
20
XIII
21
XIV
23
XV
25
XVI
27
XVII
28
XVIII
31
XIX
34
XX
36
XXI
37
XXII
41
XXIV
44
XXV
48
XXVI
51
XXVIII
53
XXIX
54
XXX
55
XXXI
56
XXXIII
58
XXXV
60
XXXVII
61
XXXVIII
62
XXXIX
62
XL
65
XLI
68
XLII
71
XLIII
73
XLV
74
XLVI
76
XLVII
77
XLVIII
79
L
80
LI
84
LII
86
LIII
87
LV
89
LVI
93
LVII
95
LVIII
100
LIX
101
LX
102
LXI
104
LXX
120
LXXI
122
LXXII
124
LXXIII
126
LXXIV
127
LXXV
131
LXXVI
134
LXXVII
135
LXXVIII
136
LXXIX
138
LXXX
140
LXXXI
141
LXXXII
144
LXXXIII
145
LXXXIV
146
LXXXV
147
LXXXVII
148
LXXXVIII
149
LXXXIX
151
XC
154
XCI
156
XCII
157
XCIII
160
XCIV
163
XCV
164
XCVI
167
XCVII
171
XCIX
174
C
180
CI
181
CII
185
CIII
186
CIV
189
CV
191
CVI
193
CVII
194
CVIII
196
CIX
198
CX
199
CXI
200
CXII
204
CXIV
206
Direitos autorais

Outras edições - Visualizar todos

Termos e frases comuns

Informações bibliográficas