Partial Differential Equations
Springer, 1982 - 249 páginas
This book is a very well-accepted introduction to the subject. In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. Now, in this fourth edition, the book has again been updated with an additional chapter on Lewy 's example of a linear equation without solutions.
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( 3.29d ) We next define divided difference operators 8o , O ; by 8 ; = E ; -1 h for j = 1 , ... , n E. - 1 8oF ( 3.30a ) k so that , for example , u ( x ...
difference scheme . We replace the space derivatives D ; u by central difference quotients ( 2h ) - ' ( E ; - E ; - ' ) , and , following Friedrichs ...
... 32 Euler - Poisson - Darboux equation 128 Finite differences , method of 5 ... 189 Difference equation 5 stability 7 , 174 Difference operator 173 ...
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