MHRD, Govt. of India has launched an innovative program titled “Global Initiative of Academic Networks (GIAN)” in Higher Education, in order to garner the best international expertise into our system. As a part of this, internationally renowned Academician Prof. Tony W.H. Sheu from National Taiwan University, Taiwan is invited to conduct this course in National Institute of Technology, Warangal. Telangana State, India. This course provides training in the application of contemporary mathematics especially the scientific computing in science and technology. Emphasis will be placed on the formulation of problems, on the analytical and numerical techniques for a solution and the computation of results in terms of vector plots, streamlines, vortex tubes, isotherms, magnetic lines. The primary objectives of the course are as follows: i) Elucidate the fundamentals of scientific computing methods, viz, finite difference, finite element, finite volume and particle methods. ii) Application of the above methods in solving the Navier-Stokes and Maxwell equations. iii) Parallel computing on GPU iv) Specific application of above-mentioned methods in the biomedical science, electromagnetic and defence applications.