Kenmerken
Conditie
Zo goed als nieuw
Type
Natuurwetenschap
Jaar (oorspr.)
2007
Auteur
P. van Beek; J. van Kan; C. Vuik; F. Vermeulen
Beschrijving
Taal: Engels
Aantal pagina's: 121
Numerical Methods for Ordinary Differential EquationsA big advantage of numerical mathematics is that a numerical solution can beobtained for problems, where an analytical solution does not exist. An additionaladvantage is, that a numerical method only uses evaluation of standard functions andthe operations: addition, subtraction, multiplication and division. Because these arejust the operations a computer can perform, numerical mathematics and computersform a perfect combination.An analytical method gives the solution as a mathematical formula, which is anadvantage. From this we can gain insight in the behavior and the properties of thesolution, and with a numerical solution (that gives the function as a table) this is notthe case. On the other hand some form of visualization may be used to gain insightin the behavior of the solution. To draw a graph of a function with a numerical methodis usually a more useful tool than to evaluate the analytical solution at a great numberof points...
Aantal pagina's: 121
Numerical Methods for Ordinary Differential EquationsA big advantage of numerical mathematics is that a numerical solution can beobtained for problems, where an analytical solution does not exist. An additionaladvantage is, that a numerical method only uses evaluation of standard functions andthe operations: addition, subtraction, multiplication and division. Because these arejust the operations a computer can perform, numerical mathematics and computersform a perfect combination.An analytical method gives the solution as a mathematical formula, which is anadvantage. From this we can gain insight in the behavior and the properties of thesolution, and with a numerical solution (that gives the function as a table) this is notthe case. On the other hand some form of visualization may be used to gain insightin the behavior of the solution. To draw a graph of a function with a numerical methodis usually a more useful tool than to evaluate the analytical solution at a great numberof points...
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