This book covers core computational science concepts and techniques. It shows how to apply a model, select a numerical method, implement computer simulations, and assess the ensuing results. Providing a wealth of MATLAB, Fortran, and C++ code online for download, the second edition includes a new chapter with sections on the finite element method, shallow water waves, and the driven cavity problem. It introduces multiprocessor/multicore computers, parallel MATLAB, and MPI in the chapter on high-performance computing, as well as updates and adds code and documentation.

Robert E. White (North Carolina State University, Raleigh, USA)

Discrete Time-Space Models. Steady-State Discrete Models. Poisson Equation Models. Nonlinear and 3D Models. FEM and Fluid Flows. Epidemics, Images, and Money. High-Performance Computing. Message Passing Interface. Classical Methods for Ax = d. Krylov Methods for Ax = d.