{"id":20789,"date":"2025-07-28T09:47:19","date_gmt":"2025-07-28T04:17:19","guid":{"rendered":"https:\/\/eng.pdn.ac.lk\/civileng\/?page_id=20789"},"modified":"2025-07-28T11:42:49","modified_gmt":"2025-07-28T06:12:49","slug":"em315","status":"publish","type":"page","link":"https:\/\/eng.pdn.ac.lk\/civileng\/em315\/","title":{"rendered":"EM315"},"content":{"rendered":"\t\t
\n\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

Numerical Methods for Civil Engineers - EM315 <\/h2><\/span><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

Credits : 2<\/p>\n

Prerequisites : –<\/p>\n

Compulsory\/Optional : Compulsory<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Aim(s)<\/th>\n<\/tr>\n<\/thead>\n
To introduce numerical methods for solving mathematical models of Civil Engineering problems.<\/td>\n<\/tr>\n<\/tbody>\n
Intended Learning Outcomes<\/th>\n<\/tr>\n<\/thead>\n
\n

On successful completion of the course, the students should be able to;<\/p>\n

    \n
  1. Explain, apply and analyze numerical methods for finding roots of equations, interpolation and curve fitting.<\/li>\n
  2. Explain, apply and analyze numerical methods for solving ordinary and partial differential equations.<\/li>\n
  3. Select suitable algorithms and apply for solving partial differential equations related to Civil Engineering problems<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n
Course content\/Course description<\/th>\n<\/tr>\n<\/thead>\n
\n
\n
    \n
  1. Error analysis<\/b><\/li>\n
  2. Solutions to nonlinear equations :<\/b> bisection method; method of false position;fixed-point iteration; Newton-Raphson\u2019s method;secant method.<\/li>\n
  3. Numerical solutions to systems of linear equations : <\/b>Gaussian elimination; Jacobi method; Gauss Seidel method<\/span> <\/span><\/li>\n
  4. Interpolation :<\/b> Newton interpolating polynomial; Lagrange interpolating<\/span>polynomial; Spline interpolation. <\/span><\/li>\n
  5. Approximation and curve fitting :<\/b> Linear regression; polynomial regression;<\/span><\/li>\n
  6. Numerical Quadrature : <\/b>Gaussian Quadrature<\/span><\/li>\n
  7. Numerical solutions to ordinary differential equations : <\/b><\/span>Initial value problems: Euler method, Runge – Kutta methods; Boundary value problem: Finite difference method<\/li>\n
  8. Numerical solutions for partial differential equations :<\/b><\/span><\/li>
  9. Finite difference method : <\/b>Elliptic equations:1D and multi-dimensional problems; parabolic problems;<\/span><\/li>\n
  10. Integral Equation Methods : <\/b>Collocation method, Galerkin method and Weighted <\/span>Residual method ; <\/li>\n<\/ol>\n<\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n
Recommended Texts<\/th>\n<\/tr>\n<\/thead>\n
\n
C. Chapra and R.P.Canale, (2010). Numerical Methods for Engineers, 6\u1d57\u02b0 edition,McGraw-Hill.<\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n\n\n\n\n\n\n\n\n
Time Allocation<\/th>\nHours<\/th>\n<\/tr>\n<\/thead>\n
Lectures<\/td>\n26<\/td>\n<\/tr>\n
Tutorials<\/td>\n04<\/td>\n<\/tr>\n
Practical<\/td>\n–<\/td>\n<\/tr>\n
Assignments<\/td>\n–<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n
 <\/div>\n
\n\n\n\n\n\n\n\n\n\n
Assessment<\/th>\nPercentage Marks<\/th>\n<\/tr>\n<\/thead>\n
In-course<\/td>\n<\/tr>\n
Tutorials\/Quizzes<\/span><\/td>\n–<\/td>\n<\/tr>\n
Mid Semester<\/td>\n20<\/td>\n<\/tr>\n
Examination<\/td>\n30<\/td>\n<\/tr>\n
End-semester<\/strong><\/td>\n50<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

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 … <\/p>\n","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-20789","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/pages\/20789","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/comments?post=20789"}],"version-history":[{"count":0,"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/pages\/20789\/revisions"}],"wp:attachment":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/media?parent=20789"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}