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...
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...
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...Daugiau...
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...Daugiau...
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...Daugiau...
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...Daugiau...
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...Daugiau...
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...Daugiau...
The book includes the theory and applications of generalization of the numerical method of lines. It is meant for applied mathematicians, physicists and engineers who use of numerical methods. The book should serve as a valuable auxiliary tool in...Daugiau...
This volume presents an accessible overview of mathematical control theory and analysis of PDEs, providing young researchers a snapshot of these active and rapidly developing areas. The chapters are based on two mini-courses and additional talks giv...Daugiau...
The Monte Carlo method is one of the top 10 algorithms in the 20th century. This book is focusing on the Monte Carlo method for solving deterministic partial differential equations (PDEs), especially its application to electronic design...Daugiau...
Contains the proceedings of two AMS Special Sessions Recent Developments on Analysis and Computation for Inverse Problems for PDEs, held in March 2021, and Recent Advances in Inverse Problems for Partial Differential Equations, held in October 2021....Daugiau...
Artificial neural networks (ANNs) have very successfully been used in numerical simulations for a series of computational problems ranging from image classification/image recognition, speech recognition, time series analysis, game intelligence, and...Daugiau...
In this popular text for an Numerical Analysis course, the authors introduce several major methods of solving various partial differential equations (PDEs). The text uniquely emphasizes both theoretical numerical analysis and practical implementat...Daugiau...
This volume presents an accessible overview of mathematical control theory and analysis of PDEs, providing young researchers a snapshot of these active and rapidly developing areas. The chapters are based on two mini-courses and additional talks giv...Daugiau...
The Monte Carlo method is one of the top 10 algorithms in the 20th century. This book is focusing on the Monte Carlo method for solving deterministic partial differential equations (PDEs), especially its application to electronic design...Daugiau...
Presents the methods for finding solutions to ordinary differential equations and partial differential equations with applications. The text also covers Laplace transforms and Fourier transforms and their applications in finding solutions of differen...Daugiau...
This book remains a top choice for a standard, undergraduate-level course on partial differential equations (PDEs). It provides a streamlined, direct approach to developing students competence in solving PDEs, and offers concise, easily understoo...Daugiau...
