Numerical Solutions of Engineering Problems
by K. Nandakumar
Publisher: University of Alberta 1998
Number of pages: 193
Contents: On mathematical models; Single nonlinear algebraic equation; System of linear algebraic equations; System of nonlinear algebraic equations; Numerical differentiation, integration; Ordinary differential equations - Initial value problems; Ordinary differential equations - Boundary value problems.
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by Ph. Ciarlet - Tata Institute of Fundamental Research
Our basic aim has been to present some of the mathematical aspects of the finite element method, as well as some applications of the finite element method for solving problems in Elasticity. This is why some important topics are not covered here.
by Hans Petter Langtangen, Anders Logg - Springer
This book offers a concise and gentle introduction to finite element programming in Python based on the popular FEniCS software library. Using a series of examples, it guides readers through the essential steps to quickly solving a PDE in FEniCS.
by Douglas W. Harder, Richard Khoury - University of Waterloo
Contents: Error Analysis, Numeric Representation, Iteration, Linear Algebra, Interpolation, Least Squares, Taylor Series, Bracketing, The Five Techniques, Root Finding, Optimization, Differentiation, Integration, Initial-value Problems, etc.
by James M. McDonough - University of Kentucky
These notes cover the following topics: Numerical linear algebra; Solution of nonlinear equations; Approximation theory; Numerical solution of ordinary differential equations; Numerical solution of partial differential equations.