Nonlocal Automated Comparative Static Analysis

This paper reviews work on the development of a program Nasa for the automated comparative static analysis of parameterized nonlinear systems over parameter intervals. Nasa incorporates a fast and efficient algorithm Feed for the automatic evaluation of higher-order partial derivatives, as well as an adaptive homotopy continuation algorithm for obtaining all required initial conditions. Applications are envisioned for fields such as economics where models tend to be complex and closed-form solutions are difficult to obtain

Numerical estimation of derivatives with an application to radiative transfer in spherical shells

Numerical estimation of derivatives with application to radiative transfer in spherical shell

Invariant imbedding and perturbation techniques applied to diffuse reflection from spherical shells

Invariant imbedding and perturbation techniques applied to diffuse reflection from spherical shell

Estimation of internal source distributions using external field measurements in radiative transfer

Intensity of emergent radiation for finite homogeneous slab which absorbs radiation and scatters it isotropicall

The invariant imbedding equation for the dissipation function of a homogeneous finite slab

Differential-integral equation for dissipation function and derivation of conservation relationship connecting reflection, transmission and dissipation functions of finite sla

An initial-value method for Fredholm integral equations with generalized degenerate kernels

AbstractAn initial-value method is derived for integral equations with generalized degenerate kernels. Both the necessity and sufficiency of the Cauchy system are demonstrated

Analytic calculation of energies and wave functions of the quartic and pure quartic oscillators

Ground state energies and wave functions of quartic and pure quartic oscillators are calculated by first casting the Schr\"{o}dinger equation into a nonlinear Riccati form and then solving that nonlinear equation analytically in the first iteration of the quasilinearization method (QLM). In the QLM the nonlinear differential equation is solved by approximating the nonlinear terms by a sequence of linear expressions. The QLM is iterative but not perturbative and gives stable solutions to nonlinear problems without depending on the existence of a smallness parameter. Our explicit analytic results are then compared with exact numerical and also with WKB solutions and it is found that our ground state wave functions, using a range of small to large coupling constants, yield a precision of between 0.1 and 1 percent and are more accurate than WKB solutions by two to three orders of magnitude. In addition, our QLM wave functions are devoid of unphysical turning point singularities and thus allow one to make analytical estimates of how variation of the oscillator parameters affects physical systems that can be described by the quartic and pure quartic oscillators.Comment: 8 pages, 12 figures, 1 tabl

Analisis Efisiensi Penggunaan Input Produksi pada USAhatani Padi Sawah di Desa Posona Kecamatan Kasimbar Kabupaten Parigi Moutong

This research aims to determine the efficiency of use of inputs of land, seed, fertilizer, labor, and pesticides on the farm production of paddy in Posona village, Kasimbar District, Parigi Moutong Regency. This research was conducted in December 2015.The data used in this study derived from primary and secondary data. The number of respondents used as many as 34 farmers were selected using simple random sampling technique.The analysis used is the Cobb Douglas production function analysis.The results showed that simultaneous independent variable (Xi) has significant effect on the dependent variable (Y) except the variable oflabor (X4), and pesticides (X5). Aspartial, land area (X1), seeds (X2), and fertilizers (X3), significantly affect the production of paddy in the Village Posona, Kasimbar District Parigi Moutong Regency, with the value of sig 0.000 <0.05 in α 5%. Analysis of efficiency showsed that the total value (k) of the variable land area (X1), seeds (X2), fertilizers (X3) labor (X4) and pesticides (X5), was greater than 1, it mean that all production inputs used in farming rice paddy in the village of Posona,in terms of the price of each input is expressed not efficient production except labor variable (X4) and Pesticides (X3) having a value of 0:01 and 0 which is smaller than 1 so inefficient