Differential Equations 67

This book charts a clear and systematic roadmap for nonlinear partial differential equations (NLPDES). Beginning from the definition of a partial differential equation to the recent developments of ……続きを見る

This contributed volume provides an integrated perspective on modern mathematical and computational techniques for addressing complex problems in networks, control systems, learning, and game theory……続きを見る

This book focuses on dissipative Caputo fractional differential equations (FDEs) with an autonomous vector field. The introduction of Caputo FDEs in the 1960s allowed initial value problems to be ha……続きを見る

This contributed volume explores innovative research in the modeling, simulation, and control of crowd dynamics. Chapter authors approach the topic from the perspectives of mathematics, physics, eng……続きを見る

This book collects selected, peer-reviewed works presented at the International Conference on Mathematical Analysis and Applications in Science and Engineering (ICMASC), which took place at the Univ……続きを見る

Developed from a course taught to senior undergraduates, this book provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L2. The treatment ……続きを見る

This volume brings together lecture notes from the two most recent editions of the EMS Summer School Mathematical Aspects of Fluid Flows, held in Kačov, Czech Republic, in May 2019 and 2024. The lec……続きを見る

This book contains select chapters of proceedings presented at the Second International Conference on Mathematics and its Applications, held in Antalya, Turkey, from 9 to 13 November 2023. Contribut……続きを見る

This book presents the proceedings of the Minisymposium “Various Methods for the Analysis of PDEs” held at the International Congress on Industrial and Applied Mathematics (ICIAM) 2023. This volume ……続きを見る

This textbook is intended for an introductory course in the theory of complex analysis and Riemann surfaces. A special feature includes the systematic treatment of complex analysis from the point of……続きを見る

The core of this book is variational methods and their applications in geometry, physics, mechanics engineering control and economics. The author set out to solve the classical and famous problems i……続きを見る

This book is the third in a series of books dedicated to publishing extended abstracts of the activities of ICMAM Latin America (International Community of Mathematicians from Latin America). This b……続きを見る

This book presents a comprehensive and geometrical approach to solving partial differential equations (PDEs) on complex curved domains using orthonormal moving frames. Rooted in Élie Cartan’s classi……続きを見る

This volume presents the extended abstracts from the 2024 Summer School organized by the Ghent Analysis and PDE Center. The school focused on equipping participants with a broad spectrum of mathemat……続きを見る

This book provides a self-contained introduction to finite difference methods for time-dependent space-fractional diffusion equations, emphasizing their theoretical properties and practical computat……続きを見る

The book explores the theory and applications of fractional differential equations with variable order. It delves into the mathematical foundations, including notations, definitions, and key theorem……続きを見る

For over fifty years, Boundary Value Problems and Partial Differential Equations, Seventh Edition has provided advanced students an accessible and practical introduction to deriving, solving, and in……続きを見る

This book presents a simple and novel theory of integration, both real and vectorial, particularly suitable for the study of PDEs. This theory allows for integration with values in a Neumann space E……続きを見る

Amusements in Mathematics by Henry Ernest Dudeney is a classic collection of mathematical puzzles and problems, first published in 1917. Renowned for its wit, clarity, and ingenuity, the book offers……続きを見る

Catalan's Constant [Ramanujan's Formula] is a mathematical treatise exploring the properties, significance, and various representations of Catalan's constant, with a special focus on Ramanujan's ele……続きを見る

La géométrie en vers techniques est un ouvrage singulier publié en 1798 par l’abbé Jean-Baptiste-Joseph Delambre, célèbre astronome et mathématicien français. Ce livre se distingue par sa présentati……続きを見る

The book focuses on the mathematical foundations of boundary integro-differential equation method, with a primary focus on reducing the hypersingular integrals in traditional boundary integral equat……続きを見る

This book presents a curated collection of recent research contributions in the field of nonlinear partial differential equations (PDEs), with an emphasis on hyperbolic problems. These equations are……続きを見る

This text gathers, revises and explains the newly developed Adomian decomposition method along with its modification and some traditional techniques. 続きを見る

Mastering ordinary differential equations (ODE) is crucial for success in numerous fields of science and engineering, as these powerful mathematical tools are indispensable for modeling and understa……続きを見る

Mastering ordinary differential equations (ODE) is crucial for success in numerous fields of science and engineering, as these powerful mathematical tools are indispensable for modeling and understa……続きを見る

This book is based on lecture materials originally developed by Harald E. Krogstad for the MSc course Mathematical Modelling at the Norwegian University of Science and Technology (NTNU) and later ad……続きを見る

This book provides the very first comprehensive and self-contained introduction to hedgehog theory, which is born of the desire to visualize the formal differences of convex bodies. This extension o……続きを見る

Mastering ordinary differential equations (ODE) is crucial for success in numerous fields of science and engineering, as these powerful mathematical tools are indispensable for modeling and understa……続きを見る

Differential Modules over Differential Rings provides an introduction and reference for researchers in commutative and differential algebra and could be used as the basis for a graduate course or se……続きを見る