TY - BOOK AU - Langtangen,Hans Petter AU - Linge,Svein ED - SpringerLink (Online service) TI - Finite Difference Computing with PDEs: A Modern Software Approach T2 - Texts in Computational Science and Engineering, SN - 9783319554563 AV - QA71-90 U1 - 004 23 PY - 2017/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Computer mathematics KW - Computer science—Mathematics KW - Numerical analysis KW - Computational Science and Engineering KW - Mathematical Applications in Computer Science KW - Numeric Computing N1 - Preface -- Vibration ODEs -- Wave Equations -- Diffusion equations -- Advection-dominated equations -- Nonlinear problems -- Useful formulas -- Truncation error analysis -- Software engineering: wave equation model -- References -- Index.; Open Access N2 - This book is open access under a CC BY 4.0 license. This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology UR - https://doi.org/10.1007/978-3-319-55456-3 ER -