About 28,900 results
|Allen, B. T. (1966) "An investigation into direct numerical methods for solving |
some calculus of variations problems. ... Baxley, J. W. (1972a) "Eigenvalues of
singular differential operators by finite difference methods", J.M.A.A. 38. 244– 254
|280; see also under the individual equation names differential operator, see |
linear differential operator differentiation and ... estimation of eigenvalues for a
linear differential operator, 351-4; for a matrix, 356-9, 402 Euler method,
|D At the present time there are no general quantitative results controlling the rate |
of variation of the eigenvalues under small ... Many numerical methods of
computing the eigenvalues of such operators are based upon applying the
|Numerical and Quantitative Analysis. Pitman: ... The Convergence of a New |
Method for Calculating Lower Bounds to Eigenvalues. ... Eigenvalue inclusions
for second-order ordinary differential operators by a numerical homotopy method.
|A symmetric matrix with all positive eigenvalues is said to be positive definite. |
Note also that the eigenvectors v(k) defined in (13.14) are related to the
eigenfunctions v(k)(x) = sin(kπx), k = 1,2,... of the differential operator − d2 dx2 .
|Through a simple and systematic algorithm, which treats the differential operator |
and supplementary conditions with ... The tau method is well adapted to produce
accurate approximations in the numerical treatment of differential eigenvalue ...
|and we obtain the eigenvalues 4a _ 2 lhzr It, I —— sln —. h2 2 These |
eigenvalues are all nonpositive, hence stability follows. ... eigenvectors are
damped by the method, in parallel with the smoothing property of the differential
operator and the ...
|Hence the ei gen functions and eigenvalues of (29) are (Ma «*.n(*, y) = sin mw |
sin (3Ib) \*-* = [It can be shown that these ... In most cases, where the eigenvalues
of the differential operator obey a variational principle, the practical problem of ...
|Analytical and Numerical Methods, Second Edition Mark S. Gockenbach ... The |
method of Fourier series: Differential operators, like d2/dx2, can have
eigenvalues and eigenfunctions; for example, 2 —2 [Sin(a)x)] I —a)2 sin(a)x). dx
The method ...
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