Math 2.0

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Numerical methods of Ordinary and Partial Differential Equations 180XQQ2V4C

URIm2://res/180XQQ2V4C
Kindcourse
CreatorsG.P. Raja Sekhar (instructor)
Date2013-07-22
Scopein
Idscourse 03w5sq511:111105038

Expressions

e1: edition

Languageen
Date2013-07-22
Contents
  • part 1: Motivation with few Examples
  • session 1: Motivation with few Examples
  • part 2: Single -Step Methods for IVPs
  • session 2: Single - Step Methods for IVPs
  • part 3: Analysis of Single Step Methods
  • session 3: Analysis of Single Step Methods
  • part 4: Runge - Kutta Methods for IVPs
  • session 4: Runge - Kutta Methods for IVPs
  • part 5: Higher Order Methods/Equations
  • session 5: Higher Order Methods/Equations
  • part 6: Error - Stability - Convergence of Single Step Methods
  • session 6: Error - Stability - Convergence of Single Step Methods
  • part 7: Tutorial - I
  • session 7: Tutorial - I
  • part 8: Tutorial - II
  • session 8: Tutorial - II
  • part 9: Multi-Step Methods (Explicit)
  • session 9: Multi-Step Methods (Explicit)
  • part 10: Multi-Step Methods (Implicit)
  • session 10: Multi-Step Methods (Implicit)
  • part 11: Convergence and Stability of multi step methods
  • session 11: Convergence and Stability of multi step methods
  • part 12: General methods for absolute stability
  • session 12: General methods for absolute stability
  • part 13: Stability Analysis of Multi Step Methods
  • session 13: Stability Analysis of Multi Step Methods
  • part 14: Predictor - Corrector Methods
  • session 14: Predictor - Corrector Methods
  • part 15: Some Comments on Multi - Step Methods
  • session 15: Some Comments on Multi - Step Methods
  • part 16: Finite Difference Methods - Linear BVPs
  • session 16: Finite Difference Methods - Linear BVPs
  • part 17: Linear/ Non - Linear Second Order BVPs
  • session 17: Linear/Non - Linear Second Order BVPs
  • part 18: BVPS -Derivative Boundary Conditions
  • session 18: BVPS - Derivative Boundary Conditions
  • part 19: Higher Order BVPs
  • session 19: Higher Order BVPs
  • part 20: Shooting Method BVPs
  • session 20: Shooting Method BVPs
  • part 21: Tutorial - III
  • session 21: Tutorial - III
  • part 22: Introduction to First Order PDE
  • session 22: Introduction to First Order PDE
  • part 23: Introduction to Second Order PDE
  • session 23: Introduction to Second Order PDE
  • part 24: Finite Difference Approximations to Parabolic PDEs
  • session 24: Finite Difference Approximations to Parabolic PDEs
  • part 25: Implicit Methods for Parabolic PDEs
  • session 25: Implicit Methods for Parabolic PDEs
  • part 26: Consistency, Stability and Convergence
  • session 26: Consistency, Stability and Convergence
  • part 27: Other Numerical Methods for Parabolic PDEs
  • session 27: Other Numerical Methods for Parabolic PDEs
  • part 28: Tutorial - IV
  • session 28: Tutorial - IV
  • part 29: Matrix Stability Analysis of Finite Difference Scheme
  • session 29: Matrix Stability Analysis of Finite Difference Scheme
  • part 30: Fourier Series Stability Analysis of Finite Difference Scheme
  • session 30: Fourier Series Stability Analysis of Finite Difference Scheme
  • part 31: Finite Difference Approximations to Elliptic PDEs - I
  • session 31: Finite Difference Approximations to Elliptic PDEs- I
  • part 32: Finite Difference Approximations to Elliptic PDEs- II
  • session 32: Finite Difference Approximations to Elliptic PDEs - II
  • part 33: Finite Difference Approximations to Elliptic PDEs - III
  • session 33: Finite Difference Approximations to Elliptic PDEs - III
  • part 34: Finite Difference Approximations to Elliptic PDEs - IV
  • session 34: Finite Difference Approximations to Elliptic PDEs - IV
  • part 35: Finite Difference Approximations to Hyperbolic PDEs - I
  • session 35: Finite Difference Approximations to Hyperbolic PDEs - I
  • part 36: Finite Difference Approximations to Hyperbolic PDEs - II
  • session 36: Finite Difference Approximations to Hyperbolic PDEs - II
  • part 37: Method of characteristics for Hyperbolic PDEs - I
  • session 37: Method of characteristics for Hyperbolic PDEs - I
  • part 38: Method of characteristics for Hyperbolic PDEs - II
  • session 38: Method of characterisitcs of Hyperbolic PDEs - II
  • part 39: Finite Difference Approximations for 1st order Hyperbolic PDEs
  • session 39: Finite Difference Approximations to 1st order Hyperbolic PDEs
  • part 40: Summary,Appendices, Remarks
  • session 40: Summary, Appendices, Remarks

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