http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
PETSc for partial differential equations
PETSc for Partial Differential Equations is the first textbook to cover PETSc programming for nonlinear PDEs.
Essentials -- Getting started with PETSc -- Finite-dimensional linear systems -- Poisson equation on a structured grid -- Nonlinear equations by Newton's method -- Time-stepping -- Preconditioners for PDEs -- Optimal solvers for elliptic PDEs -- Parallel scaling -- Constructions -- Finite element method I: nonlinear optimization -- Finite element method II: naive and unstructured -- Advection without, and then with, diffusion -- Inequality constraints -- Finite element method III: Firedrake and DMPlex -- Stokes equations (with Firedrake).
Ed Bueler, University of Alaska, Fairbanks, Alaska.
Includes bibliographical references and index.