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Civil Engineering

Numerical Methods in Civil Engineering

Numerical Methods in Civil Engineering

01 Introduction to Numerical Methods

02 Error Analysis

03 Introduction to Linear Systems

04 Linear Systems - II

05 Linear Systems - III

06 Linear Systems, Error Bounds

07 Error Bounds & Iterative Methods for Solving Linear Systems

08 Iterative Methods for Solving Linear Systems

09 Iterative Methods - II

10 Iterative Methods - III

11 Iterative Methods for Eigen Value Extraction

12 Solving Nonlinear Equations

13 Solving Nonlinear Equations II

14 Multidimensional Nonlinear Equations

15 Multidimensional Nonlinear Equations II

16 Arc Length and Gradient Based Methods

17 Gradient Based Methods

18 Conjugate Gradient Method

19 Conjugate Gradient Method - II

20 Nonlinear Conjugate Gradient and Introduction to PDEs

21 Eigenfunction Solutions for the Wave Equation

22 Analytical Methods for Solving the Wave Equation

23 Analytical Methods for hyperbolic and parabolic PDEs

24 Analytical Methods for parabolic and elliptic PDEs

25 Analytical Methods for Elliptic

26 Series Solutions for Elliptic PDEs and Introduction to Differential Operators

27 Differential Operators

28 Differential Operators - II

29 Differential Operators - III

30 Interpolation

31 Polynomial Fitting

32 Orthogonal Polynomials

33 Orthogonal Polynomials - II

34 Orthogonal Polynomials - III

35 Spline Functions

36 Orthogonal Basis Functions for Solving PDEs

37 Orthogonal Basis Functions for Solving PDEs - II

38 Integral Equations

39 Integral Equations - II

40 Integral Equations - III

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