Differential Equations 66

This book provides a highly accessible approach to discrete surface theory, within the unifying frameworks of Moebius and Lie sphere geometries, from the perspective of transformation theory of surf……続きを見る

This book provides a new approach to traces, which are viewed as linear continuous functionals on some function space. A key role in the analysis is played by integrals related to finitely additive ……続きを見る

Modelling Order and Disorder: Integro–Differential Nonlinear Equations provides an overview of a general mathematical structure: integro-differential nonlinear equations. This mathematical structure……続きを見る

This book is a comprehensive and time-tested guide to the mathematical theory of Fourier series and boundary value problems, with a strong emphasis on engineering applications. Over the past two dec……続きを見る

This book presents a comprehensive investigation into the exponential and Mittag-Leffler Euler differences for semi-linear fractional-order differential equations, a subject falling within the purvi……続きを見る

This book presents a collection of significant and original contributions that delve into the realm of nonlinear evolution equations and their applications, encompassing both theory and practical us……続きを見る

“This book is highly recommended for graduate students, postgraduate researchers, and researchers interested in beginning study in the field of geometric numerical integration." ーMathematical Revie……続きを見る

This book provides systematic guidance and theoretical basis for control theories and applications of fractional-order control systems. Control for Fractional-Order Systems and Fractional-Order Cont……続きを見る

This book presents the main tools for investigations of the existence and uniqueness, as well as the existence, of multiple solutions for initialーand boundaryーvalue problems for fuzzy impulsive dy……続きを見る

This book introduces qualitative methods for understanding differential equations, especially when analytical solutions are not possible. Aimed at second-year undergraduate students in mathematics o……続きを見る

The aim of this book is to present a self-contained account of discrete weak KAM theory. Putting aside its intrinsic elegance, this theory also provides a toy model for classical weak KAM theory, wh……続きを見る

This book investigates homogenisation problems for divergence form equations with rapidly sign-changing coefficients. Focusing on problems with piecewise constant, scalar coefficients in a (d-dimens……続きを見る

Microlocal analysis provides a powerful, versatile, and modular perspective on the analysis of linear partial differential equations. This text, developed from a first-year graduate course, provides……続きを見る

This book originates from the INdAM Workshop “Analysis and Numerics of Design, Control, and Inverse Problems”and explores a broad spectrum of cutting-edge topics in Applied Mathematics, including Co……続きを見る

This book provides a comprehensive approach to engineering mathematics, concentrating on advanced topics. The book is the second of two complementary textbooks. Volume 2 covers analytical, approxima……続きを見る

This book presents in-depth explanations of well-known and recognized behaviors of neural networks in machine learning. In addition, the author provides novel technical analyses of behaviors of disc……続きを見る

This proceedings volume convenes works within the field of fractional calculus and its applications, presented at the International Conference on Fractional Differentiation and its Applications (ICF……続きを見る

This book compiles thoughtfully curated selection tests proposed to IMO (International Mathematical Olympiad) teams across many countries. Offering a blend of original solutions and adaptations by t……続きを見る

This book develops the properties of monotone rearrangement and relative rearrangement (sometimes called pseudo-rearrangement). It introduces applications to variational problems involving monotone ……続きを見る

Recent breakthroughs in volatility modelling have brought fractional stochastic calculus to a groundbreaking position. Readers of Fractional S(P)DEs will find a unique and comprehensive overview enc……続きを見る

This book presents an overview of recent advances in the numerical analysis of nonlinear dispersive partial differential equations (PDEs) ー including the nonlinear Schrödinger equation, the Kortewe……続きを見る

This text provides a modern introduction to the mathematical formulation and physical applications of Stefan problems. With a careful balance of theory and practice, it is suitable for both graduate……続きを見る

Entdecken Sie die verborgene Kunst der Landschaft in Rudolf Rothes Meisterwerk! „Darstellende Geometrie des Geländes“ entführt Sie in eine faszinierende Welt, in der Mathematik und Natur auf einziga……続きを見る

This book contains chapters of the proceedings presented at the UiTM International Conference of Mathematical Sciences 2024 (UICMS 2024), organized by Universiti Teknologi MARA (UiTM), Shah Alam, Se……続きを見る

This book presents the easiest way to learn finite element method (FEM) for electromagnetism - from static phenomena to high frequencies in a single book, based solely on Maxwell's equations. All th……続きを見る

This book is an essential guide for anyone in engineering or mathematical physics looking to master the fundamental concepts of differential equations and special functions, which are crucial for so……続きを見る

This book aims to build on the significant results reported since the publication of "Virtual Turning Points" (VTP). This volume seeks to accelerate this trend by presenting these results in a unifi……続きを見る

This book is devoted to the study of the global properties of the dynamical systems. It gives a justification of using numerical methods for solving several problems such as localization of a chain-……続きを見る

This book introduces MATLAB as a direct problem-solving tool, where the many built-in functions and commands of MATLAB can be used to perform even complex tasks. In this mode MATLAB acts as a very a……続きを見る

This book discusses the fundamentals of the numerics of parabolic partial differential equations posed on network structures interpreted as metric spaces. These so-called metric graphs frequently oc……続きを見る