Numerical analysis
نویسنده
چکیده
1. General Introduction. Numerical analysis is the area of mathematics and computer science that creates, analyzes, and implements algorithms for solving numerically the problems of continuous mathematics. Such problems originate generally from real-world applications of algebra, geometry and calculus, and they involve variables which vary continuously; these problems occur throughout the natural sciences, social sciences, engineering, medicine, and business. During the past half-century, the growth in power and availability of digital computers has led to an increasing use of realistic mathematical models in science and engineering, and numerical analysis of increasing sophistication has been needed to solve these more detailed mathematical models of the world. The formal academic area of numerical analysis varies from quite theoretical mathematical studies (e.g. see [5]) to computer science issues (e.g. see [1], [11]). With the growth in importance of using computers to carry out numerical procedures in solving mathematical models of the world, an area known as scientific computing or computational science has taken shape during the 1980s and 1990s. This area looks at the use of numerical analysis from a computer science perspective; see [20], [16]. It is concerned with using the most powerful tools of numerical analysis, computer graphics, symbolic mathematical computations, and graphical user interfaces to make it easier for a user to set up, solve, and interpret complicated mathematical models of the real world.
منابع مشابه
A General Rule for the Influence of Physical Damping on the Numerical Stability of Time Integration Analysis
The influence of physical damping on the numerical stability of time integration analysis is an open question since decades ago. In this paper, it is shown that, under specific very general conditions, physical damping can be disregarded when studying the numerical stability. It is also shown that, provided the specific conditions are met, analysis of structural systems involved in extremely hi...
متن کاملNumerical Analysis of Sediment Transport in Sewer Pipe
The efficiency and economical performance of sewer systems is an essential issue in urban drainage. The need for sewers to carry sediment has been recognized for many years. One of the main problems in designing sewerage systems is the sediment deposition. Sedimentation in sewers occurs regularly according to the alternating natural flow. The present study investigates the hydraulic characteris...
متن کاملInstrumentation Readings versus Numerical Analysis of Taham Dam
Dam construction is one of the challenges among large-scale projects of a country. Among different types of dams, due to special features, earth dams are the most kind of dams that were constructed in Iran in the past three decades. Features such as efficiency and stability of earth dams have an important effect on their operation and prevent them to be damaged. Taham dam is clay core dam which...
متن کاملStability and Numerical Analysis of Malaria- mTB- HIV/AIDS Co-infection (TECHNICAL NOTE)
In this paper, we develop a mathematical model to examine the transmission dynamics of curable malaria, curable mTB and non-curable HIV/AIDS and their co-infection. The size of population has been taken as varying due to the emigration of susceptible population. The total population is divided into five subclasses as susceptible, malaria infected, mTB infected, HIV infection and AIDS by assumin...
متن کاملNUMERICAL TAXONOMY AND SEED PROTEIN ANALYSIS OF HYOSCYAMUS SPECIES IN IRAN
Numerical taxonomy and seed storage protein analysis of Hyoscyamus species of Iran was carried out with the aim to illustrate species inter-relationship and to check the sub-generic taxonomic treatment proposed for the genus. Cluster analysis of morphological and protein data grouped the species in three separate clusters which supports the relationships of H. niger with H. reticulatus and H. k...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Scholarpedia
دوره 2 شماره
صفحات -
تاریخ انتشار 2007