Numerical Solution of Partial Differential Equations: An Introduction by K. W. Morton and D. F. Mayers is an English-language textbook that provides a clear introduction to the numerical analysis of partial differential equations. The book covers the application of numerical techniques such as finite difference and finite volume methods for parabolic, hyperbolic, and elliptic equations.
This second edition from 2005 includes extensive updates, including new sections on modified equation analysis, symplectic integration, convection–diffusion problems, multigrid, and conjugate gradient methods. Also important is the revision of the energy method, which keeps the book relevant to modern developments.
The learning resource is aimed at students and professionals in mathematics, engineering, and computer science who want to deepen their knowledge of partial differential equations and numerical methods. It provides a complete overview of theoretical and practical aspects of numerical analysis in relation to differential equations.
The content aligns with fields such as numerical analysis, applied mathematics, and MATHEMATICS / Numerical Analysis.