Features a solid foundation of mathematical and computational tools to formulate and solve realworld PDE problems across various fields With a stepbystep approach to solving partial differential equations (PDEs), Differential Equation Analysis in Biomedical Science and Engineering: Partial Differential Equation Applications with R successfully applies computational techniques for solving realworld PDE problems that are found in a variety of fields, including chemistry, physics, biology, and physiology. The book provides readers with the necessary knowledge to reproduce and extend the computed numerical solutions and is a valuable resource for dealing with a broad class of linear and nonlinear partial differential equations. The author's primary focus is on models expressed as systems of PDEs, which generally result from including spatial effects so that the PDE dependent variables are functions of both space and time, unlike ordinary differential equation (ODE) systems that pertain to time only. As such, the book emphasizes details of the numerical algorithms and how the solutions were computed. Featuring computerbased mathematical models for solving realworld problems in the biological and biomedical sciences and engineering, the book also includes: * R routines to facilitate the immediate use of computation for solving differential equation problems without having to first learn the basic concepts of numerical analysis and programming for PDEs * Models as systems of PDEs and associated initial and boundary conditions with explanations of the associated chemistry, physics, biology, and physiology * Numerical solutions of the presented model equations with a discussion of the important features of the solutions * Aspects of general PDE computation through various biomedical science and engineering applications Differential Equation Analysis in Biomedical Science and Engineering: Partial Differential Equation Applications with R is an excellent reference for researchers, scientists, clinicians, medical researchers, engineers, statisticians, epidemiologists, and pharmacokineticists who are interested in both clinical applications and interpretation of experimental data with mathematical models in order to efficiently solve the associated differential equations. The book is also useful as a textbook for graduatelevel courses in mathematics, biomedical science and engineering, biology, biophysics, biochemistry, medicine, and engineering.
About W. E. Schiesser
WILLIAM E. SCHIESSER, PD, SD (hon.) is Emeritus McCann Professor of Engineering and Professor of Mathematics at Lehigh University. The author or coauthor of thirteen books, Dr. Schiesser's research interests include numerical software ordinary, differential algebraic, and partial differential equations and computational mathematics.Details Book
Author  :  W. E. Schiesser 
Publisher  :  John Wiley 
Data Published  :  04 April 2014 
ISBN  :  1118705297 
EAN  :  9781118705292 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  344 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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