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Geometric mutigrid method with variable grid coarsening parameters, optimal parameters, analysis, and experimentation

Thesis Info

Author

Ashraf, Muhammad Shahid

Program

MS

Institute

Institute of Business Administration

Institute Type

Private

City

Karachi

Province

Sindh

Country

Pakistan

Thesis Completing Year

2015

Page

60

Subject

Mathematics

Language

English

Other

CallNo: 515.353

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676720937910

Similar


Multigrid method belong to the class of methods that are used for numerical solution of discretized differential equations with superior performance. Multigrid methods were specifically designed for the solution of discretized elliptic Partial Differential Equations earlier. The method was later broaden in different ways to handle other Equations earlier. The method was later broaden in different ways to handle other PDE problems, including nonlinear ones, as well as problems not modeled by PDEs. Multigrid methods use relaxation schemes to damp the high frequency eigenvalues, we use a modified relaxation scheme RUB-Jacobi as our core relaxation scheme. The discussion is broaden to the variable coarsening and comparing them with the standard ones. To achieve accuracy complete Local Fourier Analysis have been established for two Dimensions for a tripling case. In the end complete performance analysis is given with the help of suitable experiments. These experiments are extended to d dimension
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زبان اور بولی میں فرق

موضوع 5:زبان اور بولی میں فرق
زبان:
زبان خیالات و احساسات کا ذریعہ اظہار ہے۔جذبات و احساسات کی شکل زبان ہے اس کا کام لفظوں اور فقروں کے توسط سے ان کے ذہنی مفہوم و دلائل اور ان کے عام خیالات کی ترجمانی کرنا ہے۔زبان بولیوں کے مجموعے کا نام ہے۔
بولی :
بولی کسی زبان کی وہ ذیلی شاخ ہے جس کے بولنے والوں کو زبان کے کسی اختلاف کا احساس نہیں ہوتا البتہ کسی زبان کی ایک بولی بولنے والوں کو اسی زبان کی دوسری بولی کے تلفظ کے فرق کا احساس ہوتا ہے۔ہر زبان کا ہر بولی کا مخصوص انداز ہوتا ہے زبان چشمے کی حیثیت رکھتی ہے اور بولی اس سے پھوٹنے والی نہریں۔بولی ایک ایسی زبان ہے جو کسی علاقے میں رائج ہوتی ہے اس کی کوئی ادبی حیثیت نہیں ہوتی۔ زبان جس قدر وسیع ہو گی اس کی بولیاں بھی اسی قدر وسیع ہو گی۔ بولی عام فہم زبان ہے جو ہم مقامی لوگوں سے سیکھتے ہیں ایک بولی بولنے والے عام طور پر ایک زبان استعمال کرتے ہیں ہر علاقے کی بولی کا مخصوص انداز ہوتا ہے۔
تلفظ کا اختلاف:
بولی قواعد و ضوابط سے آزاد ہوتی ہے بولیوں میں لفظ کی ادائیگی میں اختلاف پایا جاتا ہے مختلف علاقوں میں مختلف بولیاں بولی جاتی ہیں۔بعض بولیاں ترقی کرکے زبان کا منصب حاصل کر لیتی ہے اور بعض جگہوں پر صرف بولی بن کر رہ جاتی ہے۔ ہمارے ملک میں قبائلی علاقے ہیں جو غیر متمدن ہیں وہاں نقل مکانی کے مواقع کم ہوتے ہیں ان کے تلفظ میں اختلاف پایا جاتا ہے۔
زبان کا نظام:
ہر زبان اپنا نظام رکھتی ہے۔ یہ مختلف عناصر پر مشتمل ہوتا ہے۔ اس کے قواعد و ضوابط ہوتے ہیں مثلا صرف و نحو اس میں وقت کے ساتھ ساتھ تبدیلیاں آتی رہتی ہیں۔...

A Study on Non-Performing Assets (NPA) of Selected Private Sector Banks in India

The banking industry is critical to the success of any economy since it satisfies societal requirements. A bank is a financial entity that provides its clients with a variety of banking and other financial services. India's banking industry has been grappling with mounting non-performing assets. The rise of Non-Performing Assets has a significant impact on a bank's profitability. This research was undertaken in order to analyze the non-performing assets of a sample of chosen private sector banks in India. For that purpose, the researcher chose the top four private sector banks, namely HDFC bank, ICICI bank, Axis bank, and Indusland bank, based on their net sales from 2016-17 to 2020-21. To analyze non-performing assets in a selected private sector in India, gross non-performing assets (NPAs), net non-performing assets (NPAs), and net profit ratios were chosen. To test the hypothesis, the researcher employed a one-way ANOVA with a significance level of 5%. The study's primary conclusions include that HDFC bank's average GNPA and average NNPA are the lowest in the industry, while ICICI banks are the highest.

Study of Genetic Variantsin Cryaagene in Diabetic Patientswith Cataract

Diabetes mellitus is a metabolic disease that brings intricacies in different organs of human. Eye is one of the organs affected by diabetes mellitus. Cataract is one of the ocular complications faced by the diabetic patient, regardless of the significant development in the field of medical sciences. Cataract is increasing gradually but there is no proper treatment except surgery. CRYAA gene plays a vital role in the maintenance and development of lens due to the presence of alpha crystalline protein. CRYAA gene code for crystalline protein which is comprises of 80-90 percent of soluble protein in lens that is exclusively required for lens stability and transparency. CRYAA gene is located on chromosome 21 and encodes 173residue protein. We conducted this study to check mutation in the exon 1 and exon 2 of CRYAA gene in diabetic cataract patients. Fifty patients were considered for this study. They were classified into two groups. One group with patients of diabetic cataract, whereas the other group was including diabetic patients without cataract. Blood of patients were collected from Razia eye foundation hospital Jhelum after obtaining written consent. Blood was collected for DNA extraction then Polymerase chain reaction was performed to amplify the exon 1 and exon 2 of CRYAA gene as a preliminary step for sequencing by using Sanger sequencing method. The sequencing analysis results indicate no mutation in the exon 1 and exon 2 of CRYAA gene. In the present study, we found that exon 1 and exon 2 of CRYAA gene are not associated with diabetic cataract.