Numerical Partial Differential Equations

丛 书 名：Computational Science & Engineering

作     者：James H. Adler Hans De Sterck Scott MacLachlan Luke Olson 

I S B N：(纸本) 9781611978278 

出 版 年：2025年

主 题 词：Finite-element methods finite-difference methods finite-volume methods iterative methods preconditioning hyperbolic conservation laws elliptic equations diffusion equations multigrid methods consistency stability accuracy of discretizations partial differential equations 

摘      要：Get 10% off by pre-ordering this book. This item has not yet published. Pre-order now and we will ship and process payment when the book becomes available. To pre-order contact Customer Service: 800-447-SIAM (US & Canada) 215-382-9800 (outside US & Canada) siambooks@*** Do not send credit card details via email. Print Prices: List $77.40 / Member $61.20 Publishing May 2025 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. Numerical Partial Differential Equations is divided into four parts: Part I covers basic background on PDEs and numerical methods.Part II introduces the three main classes of numerical methods for PDEs that are the book s focus (finite-difference, finite-element, and finite-volume methods).Part III discusses linear solvers and finite-element and finite-volume methods at a more advanced level.Part IV presents further high-level topics on discretizations and solvers.