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Last updated:

September 23, 2023

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration

Description

Foundation of Scientific Computing. Instructor: Prof. Tapan K. Sengupta, Department ofAerospace Engineering, IIT Kanpur.

The course covers lessons in Foundation of Scientific Computing, Quantum computing, Wentzel-Kramers-Brillouin Method, Runge-Kutta method, Trapezoidal method, Quasilinear, Laplace equation,wave packets, Pressure fluctuation, linearized shallow water wave equation, 1D convection equation, Upwinding, Numerical amplification factor, Parabolic partial differential equation, Elliptic partial differential equations, Lagrange and hermite interpolations. (from nptel.ac.in)

Course Curriculum

  • Lecture 01 – Introduction Unlimited
  • Lecture 02 – Quantum Computing Unlimited
  • Lecture 03 – Wentzel-Kramers-Brillouin (WKB) Method Unlimited
  • Lecture 04 – Runge-Kutta Method Unlimited
  • Lecture 05 – Trapezoidal Method for Step Differential Equation Unlimited
  • Lecture 06 – Quasi-linear Partial Differential Equations Unlimited
  • Lecture 07 – Laplace Equation Unlimited
  • Lecture 08 – Wave Packets Unlimited
  • Lecture 09 – Pressure Fluctuation Unlimited
  • Lecture 10 – Wave Phenomena: Surface Gravity Waves Unlimited
  • Lecture 11 – Linearized Shallow Water Wave Equation Unlimited
  • Lecture 12 – 1D Convection Equation Unlimited
  • Lecture 13 – Upwinding Unlimited
  • Lecture 14 – Numerical Amplification Factor Unlimited
  • Lecture 15 – Stiff Differential Equation Unlimited
  • Lecture 16 – Spectral Analysis Tool, Numerical Amplification Factor Unlimited
  • Lecture 17 – Heat Equation Unlimited
  • Lecture 18 – Parabolic Partial Differential Equation Unlimited
  • Lecture 19 – Tridiagonal Matrices Unlimited
  • Lecture 20 – Error Propagation Unlimited
  • Lecture 21 – Elliptic Partial Differential Equations Unlimited
  • Lecture 22 – Ordinary Differential Equation Unlimited
  • Lecture 23 – Convergence Properties Unlimited
  • Lecture 25 – Alternating Direction Implicit Method, General Elliptic Equation Unlimited
  • Lecture 26 – Multigrid Method Unlimited
  • Lecture 27 – Multigrid Method (cont.) Unlimited
  • Lecture 28 – Spectral Analysis of Explicit and Implicit Schemes Unlimited
  • Lecture 29 – Scientific and High Performance Computing Unlimited
  • Lecture 30 – Taylor Series Analysis Unlimited
  • Lecture 31 – Buffer Domain Technique Unlimited
  • Lecture 32 – Aliasing Error Unlimited
  • Lecture 33 – Optimized High Accuracy Compact Schemes Unlimited
  • Lecture 34 – CCD Scheme Unlimited
  • Lecture 35 – Stabilizing Effects of Filters Unlimited
  • Lecture 36 – Properties of Filters Unlimited
  • Lecture 37 – Scientific Elements of a FEM (Finite Element Method) Unlimited
  • Lecture 38 – FEM Basis Functions Unlimited
  • Lecture 39 – Elliptic Equation with Linear Basis Function Unlimited
  • Lecture 40 – Petrov-Galerkin Method: SUPG Method Unlimited

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