Numerical Methods in Civil Engineering


Lecture 1 - Introduction to Numerical Methods


Lecture 2 - Error Analysis


Lecture 3 - Introduction to Linear Systems - I


Lecture 4 - Linear Systems - II


Lecture 5 - Linear Systems - III


Lecture 6 - Linear Systems - Error Bounds


Lecture 7 - Error Bounds and Iterative Methods for Solving Linear Systems


Lecture 8 - Iterative Methods for Solving Linear Systems - I


Lecture 9 - Iterative Methods - II


Lecture 10 - Iterative Methods - III


Lecture 11 - Iterative Methods for Eigen Value Extraction


Lecture 12 - Solving Nonlinear Equations - I


Lecture 13 - Solving Nonlinear Equations - II


Lecture 14 - Solving Multi Dimensional Nonlinear Equations - I


Lecture 15 - Solving Multi Dimensional Nonlinear Equations - II


Lecture 16 - ARC Length and Gradient Based Methods


Lecture 17 - Gradient Based Methods


Lecture 18 - Conjugate Gradient Method - I


Lecture 19 - Conjugate Gradient Method - II


Lecture 20 - Nonlinear Conjugate Gradient and Introduction to PDEs


Lecture 21 - Eigenfunction Solutions for the Wave Equation


Lecture 22 - Analytical Methods for Solving the Wave Equation


Lecture 23 - Analytical Methods for Hyperbolic and Parabolic PDEs


Lecture 24 - Analytical Methods for Parabolic and Elliptic PDEs


Lecture 25 - Analytical Methods for Elliptic PDE\'s


Lecture 26 - Series Solutions for Elliptic PDE\'s and Introduction to Differential Operators


Lecture 27 - Differential Operators - I


Lecture 28 - Differential Operators - II


Lecture 29 - Differential Operators - III


Lecture 30 - Interpolation


Lecture 31 - Polynomial Fitting


Lecture 32 - Orthogonal Polynomials - I


Lecture 33 - Orthogonal Polynomials - II


Lecture 34 - Orthogonal Polynomials - III


Lecture 35 - Spline Functions


Lecture 36 - Orthogonal Basis Functions for Solving PDE\'s - I


Lecture 37 - Orthogonal Basis Functions for Solving PDE\'s - II


Lecture 38 - Integral Equations - I


Lecture 39 - Integral Equations - II


Lecture 40 - Integral Equations - III