boundary conditions

SearchAdvancedHelp

(0.001 seconds)

11—20 of 22 matching pages

11: Bibliography L

… ►

Optimal cylindrical and spherical Bessel transforms satisfying bound state boundary conditions. Comput. Phys. Comm. 99 (2-3), pp. 297–306.

ⓘ

Notes:

Single-precision Fortran, maximum accuracy 8S.

External Links:

ISSN 0010-4655, Document, Code, ZentralBlatt

Referenced by:

4th item.

Encodings:

BibTeX

…

12: 28.2 Definitions and Basic Properties

… ►When $\widehat{\nu }=0$ or $1$, the notation for the two sets of eigenvalues corresponding to each $\widehat{\nu }$ is shown in Table 28.2.1, together with the boundary conditions of the associated eigenvalue problem. … ►

Table 28.2.1: Eigenvalues of Mathieu’s equation.

► ►►

$\widehat{\nu }$	Boundary Conditions	Eigenvalues
…

►

…

13: 30.13 Wave Equation in Prolate Spheroidal Coordinates

… ►Equation (30.13.7) for $\xi \le {\xi }_0$, and subject to the boundary condition $w=0$ on the ellipsoid given by $\xi ={\xi }_0$, poses an eigenvalue problem with ${\kappa }^2$ as spectral parameter. …

14: 3.7 Ordinary Differential Equations

… ►The remaining two equations are supplied by boundary conditions of the form …

15: 29.3 Definitions and Basic Properties

… ►

Table 29.3.2: Lamé functions.

► ►►

boundary conditions	eigenvalue $h$	eigenfunction $w(z)$	parity of $w(z)$	parity of $w(z-K)$	period of $w(z)$
…

►

…

16: 32.2 Differential Equations

… ►In general the singularities of the solutions are movable in the sense that their location depends on the constants of integration associated with the initial or boundary conditions. …

17: 18.39 Applications in the Physical Sciences

… ►The solutions of (18.39.8) are subject to boundary conditions at $a$ and $b$. …

18: 28.34 Methods of Computation

… ►

Solution of the systems of linear algebraic equations (28.4.5)–(28.4.8) and (28.14.4), with the conditions (28.4.9)–(28.4.12) and (28.14.5), by boundary-value methods (§3.6) to determine the Fourier coefficients. Subsequently, the Fourier series can be summed with the aid of Clenshaw’s algorithm (§3.11(ii)). See Meixner and Schäfke (1954, §2.87). This procedure can be combined with §28.34(ii)(d).

…

19: 3.6 Linear Difference Equations

… ►However, $w_n$ can be computed successfully in these circumstances by boundary-value methods, as follows. … ►For a difference equation of order $k$ ($\ge 3$), …or for systems of $k$ first-order inhomogeneous equations, boundary-value methods are the rule rather than the exception. Typically $k-\mathrm{\ell }$ conditions are prescribed at the beginning of the range, and $\mathrm{\ell }$ conditions at the end. …

20: 1.6 Vectors and Vector-Valued Functions

… ►Note: The terminology open and closed sets and boundary points in the $(x,y)$ plane that is used in this subsection and §1.6(v) is analogous to that introduced for the complex plane in §1.9(ii). … ►and $S$ be the closed and bounded point set in the $(x,y)$ plane having a simple closed curve $C$ as boundary. … ►Suppose $S$ is an oriented surface with boundary $\partial S$ which is oriented so that its direction is clockwise relative to the normals of $S$. … ►Suppose $S$ is a piecewise smooth surface which forms the complete boundary of a bounded closed point set $V$, and $S$ is oriented by its normal being outwards from $V$. …