Solving PDEs in Python
by Hans Petter Langtangen, Anders Logg
Publisher: Springer 2017
Number of pages: 148
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, including the Poisson equation, the equations of linear elasticity, the incompressible Navier-Stokes equations, and systems of nonlinear advection-diffusion-reaction equations, it guides readers through the essential steps to quickly solving a PDE in FEniCS, such as how to define a finite variational problem, how to set boundary conditions, how to solve linear and nonlinear systems, and how to visualize solutions and structure finite element Python programs.
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by Yousef Saad - PWS
The book gives an in-depth, up-to-date view of practical algorithms for solving large-scale linear systems of equations. The methods described are iterative, i.e., they provide sequences of approximations that will converge to the solution.
by K. Nandakumar - University of Alberta
Contents: On mathematical models; Single nonlinear algebraic equation; System of linear and nonlinear algebraic equations; Numerical differentiation and integration; Ordinary differential equations; Boundary value problems; etc.
by R. Hosking, S. Joe, D. Joyce, and J. Turner
This book provides an excellent introduction to the elementary concepts and methods of numerical analysis for students meeting the subject for the first time. The subject matter is organized into fundamental topics and presented as a series of steps.
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.