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Numerical Computation

Numerical computing is an approach for solving complex mathematical problems using only simple arithmetic operations [1]. The approach involves formulation of mathematical models physical situations that can be solved with arithmetic operations [2]. It requires development, analysis and use of algorithms. Numerical computations invariably involve a large number of arithmetic calculations and, therefore, require fast and efficient computing devices [3]. the microelectronic revolution and the subsequent development of high, low cost personal computers have had a profound impact on the application of numerical computing methods to solve scientific problems [4].

References

1. Bratu G (1914) On nonlinear integral equations. Bull Soc Math France 42: 191.

2. Jacobsen J, Shmitt K (2002) The Liouville-Bratu-Gelfand problem for radial operators. J Differential Equations 184: 283-298.

3. Buckmire R (2004) Applications of Mickens finite difference to several related boundary value problems. Advances in the Applications of Nonstandard Finite Difference Schemes 147: 47-87.

4. Caglar H, Caglar N, Ozer M, Valarstos A, Anagnostopoulos A (2010) B-spline method for solving Bratu’s problem. Int J Compu Math 87: 1885-1891.

Prerequisites: 

1)  Computer Programming

2)  Calculus I

 

Grading Policy: 

1)  homework

2)  quiz

3) midterm exam

4) final exam

Time: 

2021-2022 - second semester: Monday - 15:30-17:30

Term: 
2002-2022
Grade: 
Undergraduate