Mod-04 Lec-04 Runge - Kutta Methods for IVPs | Courses.com

Course Lectures

Mod-01 Lec-01 Motivation with few Examples
Dr. G.P. Raja Sekhar

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Mod-02 Lec-02 Single - Step Methods for IVPs
Dr. G.P. Raja Sekhar

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Mod-03 Lec-03 Analysis of Single Step Methods
Dr. G.P. Raja Sekhar

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Mod-04 Lec-04 Runge - Kutta Methods for IVPs
Dr. G.P. Raja Sekhar

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Mod-05 Lec-05 Higher Order Methods/Equations
Dr. G.P. Raja Sekhar

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Mod-06 Lec-06 Error - Stability - Convergence of Single Step Methods
Dr. G.P. Raja Sekhar

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Mod-07 Lec-07 Tutorial - I
Dr. G.P. Raja Sekhar

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Mod-08 Lec-08 Tutorial - II
Dr. G.P. Raja Sekhar

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Mod-09 Lec-09 Multi-Step Methods (Explicit)
Dr. G.P. Raja Sekhar

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Mod-10 Lec-10 Multi-Step Methods (Implicit)
Dr. G.P. Raja Sekhar

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Mod-11 Lec-11 Convergence and Stability of multi step methods
Dr. G.P. Raja Sekhar

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Mod-12 Lec-12 General methods for absolute stability
Dr. G.P. Raja Sekhar

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Mod-13 Lec-13 Stability Analysis of Multi Step Method
Dr. G.P. Raja Sekhar

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Mod-14 Lec-14 Predictor - Corrector Methods
Dr. G.P. Raja Sekhar

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Mod-15 Lec 15 Some Comments on Multi - Step Methods
Dr. G.P. Raja Sekhar

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Mod-16 Lec-16 Finite Difference Methods - Linear BVPs
Dr. G.P. Raja Sekhar

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Mod-17 Lec 17 Linear/Non - Linear Second Order BVPs
Dr. G.P. Raja Sekhar

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Mod-18 Lec-18 BVPS - Derivative Boundary Conditions
Dr. G.P. Raja Sekhar

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Mod-19 Lec-19 Higher Order BVPs
Dr. G.P. Raja Sekhar

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Mod-20 Lec-20 Shooting Method BVPs
Dr. G.P. Raja Sekhar

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Mod-21 Lec-21 Tutorial - III
Dr. G.P. Raja Sekhar

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Mod-22 Lec-22 Introduction to First Order PDE
Dr. G.P. Raja Sekhar

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Mod-23 Lec-23 Introduction to Second Order PDE
Dr. G.P. Raja Sekhar

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Mod-24 Lec-24 Finite Difference Approximations to Parabolic PDEs
Dr. G.P. Raja Sekhar

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Mod-25 Lec-25 Implicit Methods for Parabolic PDEs
Dr. G.P. Raja Sekhar

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Mod-26 Lec-26 Consistency, Stability and Convergence
Dr. G.P. Raja Sekhar

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Mod-27 Lec-27 Other Numerical Methods for Parabolic PDEs
Dr. G.P. Raja Sekhar

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Mod-28 Lec-28 Tutorial - IV
Dr. G.P. Raja Sekhar

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Mod-29 Lec-29 Matrix Stability Analysis of Finite Difference Scheme
Dr. G.P. Raja Sekhar

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Mod-30 Lec-30 Fourier Series Stability Analysis of Finite Difference Scheme
Dr. G.P. Raja Sekhar

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Mod-31 Lec-31 Finite Difference Approximations to Elliptic PDEs- I
Dr. G.P. Raja Sekhar

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Mod-32 Lec-32 Finite Difference Approximations to Elliptic PDEs - II
Dr. G.P. Raja Sekhar

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Mod-33 Lec-33 Finite Difference Approximations to Elliptic PDEs - III
Dr. G.P. Raja Sekhar

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Mod-34 Lec-34 Finite Difference Approximations to Elliptic PDEs - IV
Dr. G.P. Raja Sekhar

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Mod-35 Lec-35 Finite Difference Approximations to Hyperbolic PDEs - I
Dr. G.P. Raja Sekhar

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Mod-36 Lec-36 Finite Difference Approximations to Hyperbolic PDEs - II
Dr. G.P. Raja Sekhar

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Mod-37 Lec-37 Method of characteristics for Hyperbolic PDEs - I
Dr. G.P. Raja Sekhar

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Mod-38 Lec-38 Method of characterisitcs of Hyperbolic PDEs - II
Dr. G.P. Raja Sekhar

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Mod-39 Lec-39 Finite Difference Approximations to 1st order Hyperbolic PDEs
Dr. G.P. Raja Sekhar

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Mod-40 Lec-40 Summary, Appendices, Remarks
Dr. G.P. Raja Sekhar

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