@book{292d924ffb054787ae38ef0a5aa69467,
title = "Numerical Partial Differential Equations",
abstract = "This comprehensive textbook focuses on numerical methods for approximating solutions to partial differential equations (PDEs). The authors present a broad survey of these methods, introducing readers to the central concepts of various families of discretizations and solution algorithms and laying the foundation needed to understand more advanced material. The authors include over 100 well-established definitions, theorems, corollaries, and lemmas and summaries of and references to in-depth treatments of more advanced mathematics when needed.",
keywords = "Finite-element methods, partial differential equations, accuracy of discretizations, stability, consistency, multigrid methods, diffusion equations, elliptic equations, hyperbolic conservation laws, preconditioning, iterative methods, finite-volume methods, finite-difference methods",
author = "Adler, {James H.} and {De Sterck}, Hans and Scott MacLachlan and Luke Olson",
year = "2025",
doi = "10.1137/1.9781611978285",
language = "English (US)",
isbn = "9781611978278",
series = "Computational Science & Engineering",
publisher = "Society for Industrial and Applied Mathematics Publications",
address = "United States",
}