EM315 - Department of Civil Engineering - University of Peradeniya

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EM315

Numerical Methods for Civil Engineers - EM315

Credits : 2

Prerequisites : –

Compulsory/Optional : Compulsory

Aim(s)
To introduce numerical methods for solving mathematical models of Civil Engineering problems.
Intended Learning Outcomes
On successful completion of the course, the students should be able to; Explain, apply and analyze numerical methods for finding roots of equations, interpolation and curve fitting. Explain, apply and analyze numerical methods for solving ordinary and partial differential equations. Select suitable algorithms and apply for solving partial differential equations related to Civil Engineering problems
Course content/Course description
Error analysis Solutions to nonlinear equations : bisection method; method of false position;fixed-point iteration; Newton-Raphson’s method;secant method. Numerical solutions to systems of linear equations : Gaussian elimination; Jacobi method; Gauss Seidel method Interpolation : Newton interpolating polynomial; Lagrange interpolatingpolynomial; Spline interpolation. Approximation and curve fitting : Linear regression; polynomial regression; Numerical Quadrature : Gaussian Quadrature Numerical solutions to ordinary differential equations : Initial value problems: Euler method, Runge – Kutta methods; Boundary value problem: Finite difference method Numerical solutions for partial differential equations : Finite difference method : Elliptic equations:1D and multi-dimensional problems; parabolic problems; Integral Equation Methods : Collocation method, Galerkin method and Weighted Residual method ;
Recommended Texts
C. Chapra and R.P.Canale, (2010). Numerical Methods for Engineers, 6ᵗʰ edition,McGraw-Hill.

Time Allocation	Hours
Lectures	26
Tutorials	04
Practical	–
Assignments	–

Assessment	Percentage Marks
In-course
Tutorials/Quizzes	–
Mid Semester	20
Examination	30
End-semester	50