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Advantage and disadvantage of the Euler method for numerical integration?
The main advantage of the Euler method is that it's one of, if not the most basic numerical method of numerically integrating ordinary differential equations. A downside however is that it can sometimes have a tendancy to be unstable unless you take stupidly small steps in the algorithm, in cases like this there are some other methods that work better.
What is eigenfunction?
when an operator operate on a function and same function is reproduced with some numerical value then the function is called eigenfunction and the numerical value is called eigen value.
What is 2x to the 2 power?
(2x)2 = 4 x2 Its numerical value depends on the value of 'x'.
What are the applications of runge kutta method?
The Runge-Kutta method is one of several numerical methods of solving differential equations. Some systems motion or process may be governed by differential equations which are difficult to impossible to solve with emperical methods. This is where numerical methods allow us to predict the motion, without having to solve the actual equation.
What are the applicaton of fourier series?
It can be used in function approximation, especially in physics and numerical analysis and system & signals. Actually, the essence is that the basis of series is orthorgonal.
