This new edition presents an updated and expanded exploration of boundary value problems for fractional dynamic equations on arbitrary time scales, including Caputo fractional dynamic equations, impulsive Caputo fractional dynamic equations, and i...Daugiau...
A First Course in Differential Equations, Modeling, and Simulation shows how differential equations arise from applying basic physical principles and experimental observations to engineering systems. Avoiding overly theoretical explanations, the tex...Daugiau...
The book describes and illustrates how to apply effective analytical methods to obtain exact solutions to nonlinear differential equations of mathematical physics and other partial differential equations. Nonlinear partial differential equa...Daugiau...
The book deals with qualitative analysis of the mathematical model of flow of a viscous incompressible fluid around a translating and rotating body. The considered mathematical model, which represents the description of the flow in a coordinate sy...Daugiau...
James Adler, Hans De Sterck, Scott MacLachlan, Luke Olson
Serija: Computational Science and Engineering
(Išleidimo metai: 31-Jul-2025, Paperback / softback, Leidėjas: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611978278)
Numerical methods for approximating PDE solutions are presented in a rich exploration of discretization techniques such as finite-difference, finite-element, and finite-volume methods. Topics span foundational background, algorithmic strategies, lin...Daugiau...
(Išleidimo metai: 31-Jul-2025, Hardback, Leidėjas: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611978230)
A substantially expanded volume presents the fundamentals of linear and nonlinear functional analysis, covering distribution theory, harmonic analysis, differential geometry, and calculus of variations. Detailed proofs, numerous problems, and new ch...Daugiau...
(Išleidimo metai: 31-Jul-2025, Hardback, Leidėjas: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611978346)
An innovative method reduces complex nonlinear equations to spectral submanifolds (SSMs), low-dimensional invariant structures that capture the essence of system dynamics with precision. Applications in fluid and solid mechanics and control theory d...Daugiau...
This book presents an opportunity to learn difference and differential equations through a modelling-first approach. The text is meant as an introduction to those equations and not as a text only for modelling courses. No previous exposure to the...Daugiau...
Meant for senior undergraduates and graduates of mathematics, physics, engineering and biology, this book enables an understanding of ordinary and partial differential equations through analysis, geometry and linear algebra. It includes carefully ch...Daugiau...
(Išleidimo metai: 02-Jun-2025, Hardback, Leidėjas: De Gruyter, ISBN-13: 9783111722511)
This book provides a comprehensive exploration of Mean Field Games (MFG) theory, a mathematical framework for modeling the collective behavior of rational agents in complex systems. MFG theory can govern a range of societal phenomena, including fi...Daugiau...
This book presents a new methodology to develop system-level brain models using ordinary differential equations (ODE), which are to be solved and analyzed through simple Python scripts. Computer simulations of this kind of models allow the study o...Daugiau...
In the fields of dynamical systems and control theory, a fractional-order system is a dynamical system that can be modeled by a fractional differential equation containing derivatives of non-integer order. In control systems, sliding mode control (SM...Daugiau...
