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...Loe edasi...
James Adler, Hans De Sterck, Scott MacLachlan, Luke Olson
Sari: Computational Science and Engineering
(Ilmumisaeg: 31-Jul-2025, Paperback / softback, Kirjastus: 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...Loe edasi...
Integral Manifolds for Impulsive Differential Problems with Applications offers readers a comprehensive resource on integral manifolds for different classes of differential equations which will be of prime importance to researchers in applied...Loe edasi...
The monograph is devoted to the construction of the high-order finite difference and finite element methods for numerical solving multidimensional boundary-value problems (BVPs) for different partial differential equations, in particular, linear Hel...Loe edasi...
Providing a structured and holistic learning path designed to empower both novice learners and seasoned professionals, this book takes readers on a comprehensive journey. It commences with the fundamentals of MATLAB® software and culminates in the m...Loe edasi...
In the academic field, engineers, scientists, educators, and students are faced with a persistent challenge: the gap between theoretical knowledge and practical implementation in solving real-world engineering problems. The scarcity of focused resou...Loe edasi...
In the academic field, engineers, scientists, educators, and students are faced with a persistent challenge: the gap between theoretical knowledge and practical implementation in solving real-world engineering problems. The scarcity of focused resou...Loe edasi...
This volume contains the proceedings of the BIRS Workshop Topics in Multiple Time Scale Dynamics, held from November 27- December 2, 2022, at the Banff International Research Station, Banff, Alberta, Canada. The area of multiple-scale dynamics...Loe edasi...
This book is about the simulation and modeling of novel chaotic systems within the frame of fractal-fractional operators. This is the first book to offer mathematical modeling and simulations of chaotic problems with a wide range of fractal-fracti...Loe edasi...
(Ilmumisaeg: 22-Oct-2024, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031696299)
The aim of this book is to quickly elevate students to a proficiency level where they can solve linear and nonlinear partial differential equations using state-of-the-art numerical methods. It covers numerous topics typically absent in introductor...Loe edasi...
This volume contains the lecture notes of the Short Course on Numerical Methods for Hyperbolic Equations (Faculty of Mathematics, University of Santiago de Compostela, Spain, 2-4 July 2011). The course was organized in recognition of Prof. Eleuter...Loe edasi...
Mathematical models are used to convert real-life problems using mathematical concepts and language. These models are governed by differential equations whose solutions make it easy to understand the real-life problems. The applications can be applie...Loe edasi...
This Handbook is a unique reference for scientists and engineers, containing over 3,800 nonlinear partial differential equations with solutions. The book concerns first-, second-, third-, fourth-, and higher-order nonlinear PDEs and systems of coupl...Loe edasi...
The first and second editions of “An Introduction to Partial Differential Equation with MATLAB®” gained popularity among instructors and students at various universities throughout the world. Plain mathematical language is used in a fri...Loe edasi...
(Ilmumisaeg: 17-Jun-2024, Paperback / softback, Kirjastus: De Gruyter, ISBN-13: 9783111411095)
The book concerns with solving about 650 ordinary and partial differential equations. Each equation has at least one solution and each solution has at least one coloured graph. The coloured graphs reveal different features of the solutions. Some g...Loe edasi...
The book starts with six different methods of solution of linear partial differential equations (P.D.E.s) with constant coefficients. One of the methods, namely characteristic polynomial, is then extended to a further five classes, including linear...Loe edasi...
(Ilmumisaeg: 31-May-2024, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470461058)
Covers two main methods for proving the h-principle: holonomic approximation and convex integration. Special emphasis is placed on applications to symplectic and contact geometry. This book is the first broadly accessible exposition of the theory...Loe edasi...
A series of papers focusing on the mathematical and computational modeling and analysis of some real-life phenomena in the natural and engineering sciences....Loe edasi...