'Runge - Kutta Methods for IVPs' Video Lecture

Runge - Kutta Methods for IVPs

  • Course: Numerical methods of Ordinary and Partial Differential Equations
  • Discipline: Mathematics
  • Faculty: Dr. G.P. Raja Sekhar
  • Institute: IIT Kharagpur

    • Runge - Kutta Methods for IVPs - Click on the Video Link shown below to play the video on Youtube. Browse through Numerical methods of Ordinary and Partial Differential Equations (Mathematics) Video Lectures by Dr. G.P. Raja Sekhar from IIT Kharagpur through NPTEL.

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    Course Video Lectures Motivation with few Examples Single - Step Methods for IVPs Analysis of Single Step Methods Runge - Kutta Methods for IVPs Higher Order Methods/Equations Error - Stability - Convergence of Single Ste.. Tutorial - I Tutorial - II Multi-Step Methods (Explicit) Multi-Step Methods (Implicit) Convergence and Stability of multi step metho.. General methods for absolute stability Stability Analysis of Multi Step Methods Predictor - Corrector Methods Some Comments on Multi - Step Methods Finite Difference Methods - Linear BVPs Linear/Non - Linear Second Order BVPs BVPS - Derivative Boundary Conditions Higher Order BVPs Shooting Method BVPs Tutorial - III Introduction to First Order PDE Introduction to Second Order PDE Finite Difference Approximations to Parabolic.. Implicit Methods for Parabolic PDEs Consistency, Stability and Convergence Other Numerical Methods for Parabolic PDEs Tutorial - IV Matrix Stability Analysis of Finite Differenc.. Fourier Series Stability Analysis of Finite D.. Finite Difference Approximations to Elliptic .. Finite Difference Approximations to Elliptic .. Finite Difference Approximations to Elliptic .. Finite Difference Approximations to Elliptic .. Finite Difference Approximations to Hyperboli.. Finite Difference Approximations to Hyperboli.. Method of characteristics for Hyperbolic PDEs.. Method of characterisitcs of Hyperbolic PDEs .. Finite Difference Approximations to 1st order.. Summary, Appendices, Remarks
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