The Numerical Solution of Ordinary and Partial Differential EquationsAcademic Press, 1988 - 271 pagine |
Dall'interno del libro
Risultati 1-3 di 27
Pagina 16
... tridiagonal systems ( banded systems with L = 1 ) are encountered frequently . Because of the importance of these systems , a FORTRAN77 subroutine that solves tridiagonal linear systems without pivoting is exhibited in Figure 0.4.4 ...
... tridiagonal systems ( banded systems with L = 1 ) are encountered frequently . Because of the importance of these systems , a FORTRAN77 subroutine that solves tridiagonal linear systems without pivoting is exhibited in Figure 0.4.4 ...
Pagina 176
... tridiagonal matrix H. The eigenvectors of Au = ¿ Bu are then u ; = L - v1 , where the v ; are the eigenvec- tors of H. T Perhaps the most straightforward way to calculate some eigenvalues of a tridiagonal matrix is simply to use a good ...
... tridiagonal matrix H. The eigenvectors of Au = ¿ Bu are then u ; = L - v1 , where the v ; are the eigenvec- tors of H. T Perhaps the most straightforward way to calculate some eigenvalues of a tridiagonal matrix is simply to use a good ...
Pagina 182
... tridiagonal matrix with elements Ai.i - 1 = 1 1 Δx2 Ax -2 - except AN , N - 1 = 4x2 , 2 Ai.i = 1 , 4x2 -1 1 Ai.i + 1 + Ax2 Ax The shifted inverse power iteration 4.11.6 was used to estimate the smallest eigenvalues of this discrete ...
... tridiagonal matrix with elements Ai.i - 1 = 1 1 Δx2 Ax -2 - except AN , N - 1 = 4x2 , 2 Ai.i = 1 , 4x2 -1 1 Ai.i + 1 + Ax2 Ax The shifted inverse power iteration 4.11.6 was used to estimate the smallest eigenvalues of this discrete ...
Sommario
The Initial Value Diffusion Problem | 2 |
Initial Value Ordinary Differential Equations | 29 |
990 | 67 |
Copyright | |
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Parole e frasi comuni
absolute value algorithm approximate solution Ax² B₁ backward difference method band solver basis functions boundary conditions boundary value problem calculated coefficients collocation CONTINUE convergence cubic Hermite derivatives diagonal diagonal-dominant difference equation diffusion dx dy dz e(xi eigenvalue problem ENDIF ERMAX Euler's method exact solution explicit method fill-in finite difference method finite element method first-order FORTRAN77 Program fourth-order Galerkin method Gaussian elimination IMPLICIT DOUBLE PRECISION(A-H,O-Z initial value problem integrals Jacobian linear system LU decomposition matrix maximum error multistep method nonlinear nonzero O(Ax² ordinary differential equation PARAMETER partial differential equation PDE/PROTRAN polynomial positive-definite positive-definite matrix R₁ RETURN END satisfies second-order Section smallest eigenvalue solve stability starting values stepsize stiff subdiagonal elements subroutine successive over-relaxation symmetric t₁ Theorem tk+1 Tmax trial functions triangle tridiagonal truncation error U(tk U(xi u₁ VECTOR OF LENGTH zero pivot