Chapman & Hall/CRC Applied Mathematics & Nonlinear Science
Mathematical Methods in Physics and Engineering with Mathematica
1st Edition
By Ferdinand F. Cap
September 11, 2019
More than ever before, complicated mathematical procedures are integral to the success and advancement of technology, engineering, and even industrial production. Knowledge of and experience with these procedures is therefore vital to present and future scientists, engineers and ...
A Shock-Fitting Primer
1st Edition
By Manuel D. Salas
June 14, 2017
A defining feature of nonlinear hyperbolic equations is the occurrence of shock waves. While the popular shock-capturing methods are easy to implement, shock-fitting techniques provide the most accurate results. A Shock-Fitting Primer presents the proper numerical treatment of shock waves and other...
Advanced Differential Quadrature Methods
1st Edition
By Zhi Zong, Yingyan Zhang
June 14, 2017
Modern Tools to Perform Numerical DifferentiationThe original direct differential quadrature (DQ) method has been known to fail for problems with strong nonlinearity and material discontinuity as well as for problems involving singularity, irregularity, and multiple scales. But now researchers in ...
Discovering Evolution Equations with Applications: Volume 1-Deterministic Equations
1st Edition
By Mark McKibben
June 14, 2017
Discovering Evolution Equations with Applications: Volume 1-Deterministic Equations provides an engaging, accessible account of core theoretical results of evolution equations in a way that gradually builds intuition and culminates in exploring active research. It gives nonspecialists, even those ...
Discovering Evolution Equations with Applications: Volume 2-Stochastic Equations
1st Edition
By Mark McKibben
June 14, 2017
Most existing books on evolution equations tend either to cover a particular class of equations in too much depth for beginners or focus on a very specific research direction. Thus, the field can be daunting for newcomers to the field who need access to preliminary material and behind-the-scenes ...
Modeling and Control in Vibrational and Structural Dynamics: A Differential Geometric Approach
1st Edition
By Peng-Fei Yao
June 07, 2017
Modeling and Control in Vibrational and Structural Dynamics: A Differential Geometric Approach describes the control behavior of mechanical objects, such as wave equations, plates, and shells. It shows how the differential geometric approach is used when the coefficients of partial differential ...
Multi-Resolution Methods for Modeling and Control of Dynamical Systems
1st Edition
By Puneet Singla, John L. Junkins
August 01, 2008
Unifying the most important methodology in this field, Multi-Resolution Methods for Modeling and Control of Dynamical Systems explores existing approximation methods as well as develops new ones for the approximate solution of large-scale dynamical system problems. It brings together a wide set of ...
Computing with hp-ADAPTIVE FINITE ELEMENTS: Volume II Frontiers: Three Dimensional Elliptic and Maxwell Problems with Applications
1st Edition
By Leszek Demkowicz, Jason Kurtz, David Pardo, Maciek Paszenski, Waldemar Rachowicz, Adam Zdunek
November 02, 2007
With a focus on 1D and 2D problems, the first volume of Computing with hp-ADAPTIVE FINITE ELEMENTS prepared readers for the concepts and logic governing 3D code and implementation. Taking the next step in hp technology, Volume II Frontiers: Three-Dimensional Elliptic and Maxwell Problems with ...
Computing with hp-ADAPTIVE FINITE ELEMENTS: Volume 1 One and Two Dimensional Elliptic and Maxwell Problems
1st Edition
By Leszek Demkowicz
October 25, 2006
Offering the only existing finite element (FE) codes for Maxwell equations that support hp refinements on irregular meshes, Computing with hp-ADAPTIVE FINITE ELEMENTS: Volume 1. One- and Two-Dimensional Elliptic and Maxwell Problems presents 1D and 2D codes and automatic hp adaptivity. This ...
Introduction to Fuzzy Systems
1st Edition
By Guanrong Chen, Trung Tat Pham
November 16, 2005
Introduction to Fuzzy Systems provides students with a self-contained introduction that requires no preliminary knowledge of fuzzy mathematics and fuzzy control systems theory. Simplified and readily accessible, it encourages both classroom and self-directed learners to build a solid foundation in ...
Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications
1st Edition
By Victor A. Galaktionov
May 24, 2004
Unlike the classical Sturm theorems on the zeros of solutions of second-order ODEs, Sturm's evolution zero set analysis for parabolic PDEs did not attract much attention in the 19th century, and, in fact, it was lost or forgotten for almost a century. Briefly revived by Pólya in the 1930's and ...