ALBERT — All Library Books, journals and Electronic Records Telegrafenberg

Hits per page

hit 1 - 1 | 1 hit

Select All Export

Electronic Resource

Global integration of differential equations through Lobatto quadrature (1964)

Axelsson, Owe

Springer

BIT 4 (1964), S. 69-86

add to mindlist on the mindlist

Details

ISSN: 1572-9125

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract For the numerical solution of the initial value problemy′=f(x,y), −1≦x≦1;y(−1)=y 0 a global integration method is derived and studied. The method goes as follows. At first the system of nonlinear equations is solved. The matrix (A i,k (n) ) of quadrature coefficients is “nearly” lower left triangular and the pointsx k,n ,k=1,2,...,n are the zeros ofP n −P n−2, whereP n is the Legendre polynomial of degreen. It is showed that the errors From the valuesf(x i,n ,y i,n ),i=1,2,...,n an approximation polynomial is constructed. The approximation is Chebyshevlike and the error at the end of the interval of integration is particularly small.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01939850

	Location	Call Number	Expected	Availability

Others were also interested in ...

Paper (German National Licenses)

Fulltext

hit 1 - 1 | 1 hit