28 citations · 99 across the 9 of their papers we have counts for
9 papers
15-Digit Accuracy Calculations of Ambartsumian-Chandrasekhar's -Functions for Four-Term Phase Functions with the Double-Exponential Formula
Kiyoshi Kawabata
We have established an iterative scheme to calculate with 15-digit accuracy the numerical values of Ambartsumian-Chandrasekhar's H-functions for anisotropic scattering characterize…
15-Digit Accuracy Calculations of Chandrasekhar's -function for Isotropic Scattering by Means of the Double Exponential Formula
Kiyoshi Kawabata
This work shows that it is possible to calculate numerical values of the Chandrasekhar -function for isotropic scattering at least with 15-digit accuracy by making use of the do…
A Hybrid Algorithm of Fast Invariant Imbedding and Doubling-Adding Methods for Efficient Multiple Scattering Calculations
Kiyoshi Kawabata
An efficient hybrid numerical method for multiple scattering calculations is proposed. We use the well established doubling--adding method to find the reflection function of the lo…
A Fast Iterative Method for Chandrasekhar's H-functions for General Laws of Scattering
Kiyoshi Kawabata
This work shows that notable acceleration of the speed of calculating Chandrasekhar's H-functions for general laws of scattering with an iterative method can be realized by supplyi…
Galaxy N-z Relation and CMB Spectrum Based on Cosmological Model with Scalar Field Having Modified Potential Form
Koichi Hirano, Kiyoshi Kawabata, Zen Komiya +1
We have succeeded in establishing a cosmological model with a non-minimally coupled scalar field that can account not only for the spatial periodicity or the picket-fence struc…
Rational Approximation Formula for Chandrasekhar's H-function for Isotropic Scattering
Kiyoshi Kawabata, Sanjay S. Limaye
We first establish a simple procedure to obtain with 11-figure accuracy the values of Chandrasekhar's H-function for isotropic scattering using a closed-form integral representatio…