Numerical Methods and Simulation Techniques
The course contains very important aspects of the modern-day course curriculum, namely, numerical methods and simulation techniques that are going to be of utmost importance to both undergraduate and graduate levels.
Most of the real-life problems are unsolvable using known analytic techniques thus depending on numerical methods is imperative.
The course introduces basic and key simulation techniques that are going to be useful to academia and industry alike. Even if the software packages, such as Mathematica, Matlab, etc are available for most of the numeric computations, yet one should be aware of the techniques that are inbuilt into the software.
What Will I Learn?
- -Introduction to Numerical analysis, Importance of error and their calculations
- -Learn and Understand Root Finding Method of non-linear equations, Bisection Method, Newton Raphson Method,Secant method, Regula- Falsi method.
- -Learn Numerical differentiation, central difference methods, higher order derivatives, errors also Numerical integration, Simpson’s 1/3 rd rule, Simpson’s 3/8 th rule, local and global error analysis
- -Learn Eigenvalue problems, Heun’s method, Euler’s method, Runge Kutta Method, Gerschgorin disc theorem ,Jacobi method And much more...