A COMPARATIVE STUDY OF ITERATIVE CHEBYSHEV AND LANCZOS IMPLEMENTATIONS OF THE BOUNDARY INHOMOGENEITY METHOD FOR QUANTUM SCATTERING

2003 ◽  
Vol 02 (04) ◽  
pp. 563-571 ◽  
Author(s):  
HONG ZHANG ◽  
SEAN C. SMITH

We have recently developed a scaleable Artificial Boundary Inhomogeneity (ABI) method [Chem. Phys. Lett.366, 390–397 (2002)] based on the utilization of the Lanczos algorithm, and in this work explore an alternative iterative implementation based on the Chebyshev algorithm. Detailed comparisons between the two iterative methods have been made in terms of efficiency as well as convergence behavior. The Lanczos subspace ABI method was also further improved by the use of a simpler three-term backward recursion algorithm to solve the subspace linear system. The two different iterative methods are tested on the model collinear H+H 2 reactive state-to-state scattering.

2019 ◽  
Vol 19 (1) ◽  
pp. 182-194
Author(s):  
Hyun-Sook So

Abstract In 2012, large amounts of white marble Buddhist statues of the Eastern Wei and Northern Qi Dynasties were unearthed from the Buddhist sculpture hoard at Bei Wuzhuang in Ye City Site. This paper makes a comparative study on a bodhisattva statue in meditation seated in half-lotus posture (resting right ankle on the knee of pendent left leg and holding right hand upward) among them and another sculpture of the same type and made in the same period unearthed at the Xiude Monastery site in Dingzhou; from the double-tree, stupa and coiling dragon designs shown by them, this paper explores the commonalities and differences of the Buddhist arts in these two areas. Moreover, this paper reveals that this motif emerged earlier in the Ye City area than in the Dingzhou area, and diffused to the latter after it became popular in the Ye City area. By these conclusions, this paper infers that the white marble meditating statue seated in half-lotus position with the date of the second year of Wuding Era (544 CE) in the collection of the Metropolitan Museum of Art in New York, USA was produced in Ye City area.


Phytotaxa ◽  
2015 ◽  
Vol 207 (3) ◽  
pp. 273
Author(s):  
FRITHJOF A.S. STERRENBURG ◽  
STUART R. STIDOLPH ◽  
EUGENIA A. SAR ◽  
Ines Sunesen

In continuation of an earlier paper on Pleurosigma species with an (almost) non-sigmoid valve and raphe sternum, a comparative study was made in LM and SEM of Pleurosigma subrectum and P. acus. For P. subrectum, slides and a subsample of the type material were examined. For P. acus no unmounted material permitting SEM investigation is extant; a sample containing specimens fully matching the type in LM was therefore used as epitype material for SEM. The original data on striation of P. acus are emended. No morphological differences indicating separate specific status of these two taxa were observed and P. acus is therefore here designated a heterotypic synonym of P. subrectum. From the data now available, this is a very widely distributed species. The study demonstrates the indispensable role of collections for investigations on the diversity and distribution of diatom species.


2001 ◽  
Vol 7 (5) ◽  
pp. 257-265 ◽  
Author(s):  
E J Nordal ◽  
D Moseng ◽  
B Kvammen ◽  
M-L Løchen

We compared the diagnoses made by one dermatologist via telemedicine with those of another dermatologist made in a face-to-face consultation. The patients first underwent a teledermatology consultation and then a face-to-face consultation. A general practitioner was present with the patient in the videoconference studio. Videoconferencing equipment connected at 384 kbit/s was used. The doctor-patient relationship and the satisfaction of the patients and dermatologists in the two settings were assessed, as well as technical conditions during the videoconferences. There were 121 patients, with a mean age of 40 years (range 17-82 years). There was a high degree of concordance between the two sets of diagnoses, with 72% complete agreement and 14% partial agreement between the two dermatologists. A total of 116 patients (96% of those included) completed a questionnaire. Both the patients and the dermatologists were in general satisfied with the videoconferences. Videoconferencing with a participating general practitioner may be useful in dermatology, but the technique should be used only for selected patients.


Author(s):  
Cornelia Mihaela Novac ◽  
Ovidiu Constantin Novac ◽  
Raluca Marina Sferle ◽  
Mircea Ioan Gordan ◽  
Gyongyi Bujdoso ◽  
...  
Keyword(s):  

2016 ◽  
Vol 9 (2) ◽  
pp. 206
Author(s):  
Hillo Abdelatti ◽  
Yasin Elhadary ◽  
Narimah Samat

Sudan and Malaysia have shown some socio-economic similarities especially when it comes to the issue of addressing poverty. After independence, almost half of the entire population of both countries were living under poverty line. The successive national governments in both countries have embarked on eliminating the extreme poverty. The aim of this paper is to highlight the policies and programmes adopted and implemented by policymakers in both countries in addressing poverty. The overall objective is to uncover the secret of the success and constraints faced both countries in addressing poverty. To achieve such objective, the paper based mainly on a desk review of recent documents and review of some recent researches' result. The paper has come out with that the similarities between both countries manifested itself in that both are classified as Muslim countries, have an agricultural background, inherited the same legacy as been colonized by British, their communities consist of various ethnic groups and minorities with sharp spatial and ethnic inequalities in income and social class. Despite these, Malaysia has succeeded in reducing poverty from over fifty 52.4% in 1970 to around one per cent 1.2 % in 2015, while less progress has been made in side of Sudan. Moreover, unlike Sudan, Malaysia has managed to achieve the MDGs goals in halving a head before the time determined, while Sudan has long way and it seems impossible to fulfil such objective even after 2015. Our findings have shown that, formulated home-grown policies, rejecting imposed policies by international institutions (World Bank), availability and accessibility of up to date poverty data, ability to implement policies and above all the political will are the main drivers behind the secret of success in the side of Malaysia and vice versa for Sudan. Sudan like other countries has to follow the Malaysia model if the decision makers are serious in eliminating poverty. This paper may contribute to the on-going discussion on poverty and open rooms for more comparative study between nations. Comparative study will help the planners in formulating rational policy, benefitting from exchanging ideas and learning from each.


Author(s):  
Gabriela Alor-Saavedra ◽  
Francisco Alejandro Alaffita-Hernández ◽  
Beatris Adriana Escobedo-Trujillo ◽  
Oscar Fernando Silva-Aguilar

This work makes a comparative study of two methods to determine deflection in steel beams: (a) Theoretical and (b) Finite element. For method (a) the solution of the differential equation associated with the modeling of the deflection of a beam is found, while for method (b) a simulation is made in Solidworks. Both methods are compared with experimental data in order to analyze which of the methods presents less uncertainty and show the usefulness of the theoretical part in the modeling of physical systems.


Author(s):  
Nur Afza Mat Ali ◽  
Rostang Rahman ◽  
Jumat Sulaiman ◽  
Khadizah Ghazali

<p>Similarity method is used in finding the solutions of partial differential equation (PDE) in reduction to the corresponding ordinary differential equation (ODE) which are not easily integrable in terms of elementary or tabulated functions. Then, the Half-Sweep Successive Over-Relaxation (HSSOR) iterative method is applied in solving the sparse linear system which is generated from the discretization process of the corresponding second order ODEs with Dirichlet boundary conditions. Basically, this ODEs has been constructed from one-dimensional reaction-diffusion equations by using wave variable transformation. Having a large-scale and sparse linear system, we conduct the performances analysis of three iterative methods such as Full-sweep Gauss-Seidel (FSGS), Full-sweep Successive Over-Relaxation (FSSOR) and HSSOR iterative methods to examine the effectiveness of their computational cost. Therefore, four examples of these problems were tested to observe the performance of the proposed iterative methods.  Throughout implementation of numerical experiments, three parameters have been considered which are number of iterations, execution time and maximum absolute error. According to the numerical results, the HSSOR method is the most efficient iterative method in solving the proposed problem with the least number of iterations and execution time followed by FSSOR and FSGS iterative methods.</p>


Sign in / Sign up

Export Citation Format

Share Document