Advances in scientific computing have made modelling and simulation an important part of the decision-making process in engineering, science, and public policy. This book provides a comprehensive an……続きを見る
Building on introductory calculus courses, this text provides a sound foundation in the underlying principles of ordinary differential equations. Important concepts, including uniqueness and existen……続きを見る
Written by two international experts in the field, this book is the first unified survey of the advances made in the last 15 years on key non-standard and improperly posed problems for partial diffe……続きを見る
Unlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equatio……続きを見る
This book presents and explains a general, efficient, and elegant method for solving the Dirichlet, Neumann, and Robin boundary value problems for the extensional deformation of a thin plate on an e……続きを見る
Presents the methodology and applications of ODE and PDE models within biomedical science and engineering
With an emphasis on the method of lines (MOL) for partial differential equation (PDE) numeri……続きを見る
Readable and systematic, this volume offers coherent presentations of not only the general theory of linear equations with a single integration, but also of applications to differential equations, t……続きを見る
A comprehensive approach to numerical partial differential equations
Spline Collocation Methods for Partial Differential Equations combines the collocation analysis of partial differential equations……続きを見る
This book introduces parabolic wave equations, their key methods of numerical solution, and applications in seismology and ocean acoustics. The parabolic equation method provides an appealing combin……続きを見る
Advanced Problem Solving Using Maple™: Applied Mathematics, Operations Research, Business Analytics, and Decision Analysis applies the mathematical modeling process by formulating, building, solving……続きを見る
One cannot watch or read about the news these days without hearing about the models for COVID-19 or the testing that must occur to approve vaccines or treatments for the disease.
The purpose of Math……続きを見る
This book offers a problem-solving approach. The authors introduce a problem to help motivate the learning of a particular mathematical modeling topic. The problem provides the issue or what is need……続きを見る
In response to an infection (e.g., from pathogens such as bacteria and viruses), the immune system can deplete macrophages (specialized white blood cells) and produce cytokines that are pro-inflamma……続きを見る
An Elementary Treatise On Fourier's Series (Differential Calculus) and Spherical, Cylindrical, and Ellipsoidal Harmonics, With Applications To Problems In Mathematical Physics.
By William Elwood Bye……続きを見る
Although the Partial Differential Equations (PDE) models that are now studied are usually beyond traditional mathematical analysis, the numerical methods that are being developed and used require te……続きを見る
Features a solid foundation of mathematical and computational tools to formulate and solve real-world ODE problems across various fields
With a step-by-step approach to solving ordinary differential……続きを見る
Features a solid foundation of mathematical and computational tools to formulate and solve real-world PDE problems across various fields
With a step-by-step approach to solving partial differential ……続きを見る
Leonardo wrote, “Mechanics is the paradise of the mathematical sciences, because by means of it one comes to the fruits of mathematics”; replace “Mechanics” by “Fluid mechanics” and here we are.
- F……続きを見る
Problem Solving is essential to solve real-world problems. Advanced Problem Solving with Maple: A First Course applies the mathematical modeling process by formulating, building, solving, analyzing,……続きを見る
Experts of fluid dynamics agree that turbulence is nonlinear and nonlocal. Because of a direct correspondence, nonlocality also implies fractionality. Fractional dynamics is the physics related to f……続きを見る
'The numerical algorithms presented are written in pseudocode and based on MATLAB, a programming and numeric computing platform widely used in STEM fields. Thus, no formal training in computer scien……続きを見る
Mathematical modeling is both a skill and an art and must be practiced in order to maintain and enhance the ability to use those skills. Though the topics covered in this book are the typical topics……続きを見る
Although the Partial Differential Equations (PDE) models that are now studied are usually beyond traditional mathematical analysis, the numerical methods that are being developed and used require te……続きを見る
