TY - JOUR
TI - A note on the approximation of functions of several variables by sums of functions of one variable
AU - Kelley, C.T.
T2 - Journal of Approximation Theory
AB - For a class of functions of several variables, which includes the continuous functions, we show that there exists a sum of functions of one variable that minimizes the distance from the given function to the space of such sums. For functions of two variables we show that such a minimizing sum may be constructed by an iterative scheme.
DA - 1981/11//
PY - 1981/11//
DO - 10.1016/0021-9045(81)90068-x
VL - 33
IS - 3
SP - 179-189
J2 - Journal of Approximation Theory
LA - en
OP -
SN - 0021-9045
UR - http://dx.doi.org/10.1016/0021-9045(81)90068-x
DB - Crossref
ER -
TY - JOUR
TI - An analytical expression for the H matrix relevant to Rayleigh scattering
AU - Siewert, C.E
AU - Kelley, C.T
AU - Garcia, R.D.M
T2 - Journal of Mathematical Analysis and Applications
AB - The matrix Riemann-Hilbert problem relevant to the scattering of polarized light is solved up to the resolution of two existence questions. The solution obtained is used to establish an explicit expression for the related H matrix, and evidence that the mentioned existence questions can be answered in the affirmative is provided by a numerical evaluation of the final result.
DA - 1981/12//
PY - 1981/12//
DO - 10.1016/0022-247x(81)90183-9
VL - 84
IS - 2
SP - 509-518
J2 - Journal of Mathematical Analysis and Applications
LA - en
OP -
SN - 0022-247X
UR - http://dx.doi.org/10.1016/0022-247x(81)90183-9
DB - Crossref
ER -
TY - JOUR
TI - Approximate methods for exit distribution problems in inhomogeneous slabs
AU - Kelley, C.T.
T2 - Progress in Nuclear Energy
AB - Abstract A generalization of the Chandrasekhar H-equation is solved by a class of approximate methods. The exit distribution problem for radiative transfer, either multigroup or one group, may be solved in terms of the solution to this equation.
DA - 1981/1//
PY - 1981/1//
DO - 10.1016/0149-1970(81)90017-2
VL - 8
IS - 2-3
SP - 227-234
J2 - Progress in Nuclear Energy
LA - en
OP -
SN - 0149-1970
UR - http://dx.doi.org/10.1016/0149-1970(81)90017-2
DB - Crossref
ER -
TY - JOUR
TI - Multi-group neutron transport in inhomogeneous slabs
AU - Kelley, C.T.
T2 - Journal of Integral Equations
DA - 1981///
PY - 1981///
VL - 3
SP - 261–275
ER -