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Nonlinear Differential Equations and Applications

This proceedings volume gathers selected, carefully reviewed works presented at the Portugal-Italy Conference on Nonlinear Differential Equations and Applications (PICNDEA22), held on July 4-6, 2022, at t…

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Alexei Cheviakov
Analytical Properties of Nonlinear Partial Differential Equations

Nonlinear partial differential equations (PDE) are at the core of mathematical modeling. In the past decades and recent years, multiple analytical methods to study various aspects of the mathematical stru…

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Tudor Barbu
Digital Image Processing, Analysis and Computer Vision Using Nonlinear Partial Differential Equations

This book provides an overview of the applications of partial differential equations (PDEs) to image processing, analysis, and computer vision domains, focusing mainly on the most important contributions …

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Michael E. Taylor
Partial Differential Equations III

The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well a…

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Shian Wang, N. U. Ahmed
Measure-Valued Solutions for Nonlinear Evolution Equations on Banach Spaces and Their Optimal Control

This book offers the first comprehensive presentation of measure-valued solutions for nonlinear deterministic and stochastic evolution equations on infinite dimensional Banach spaces. Unlike traditional s…

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Maciej Dunajski
Solitons, Instantons, and Twistors

The book provides a self-contained and accessible introduction to integrable systems. It starts with an introduction to integrability of ordinary and partial differential equations, and goes on to explore…

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Sören Bartels
Numerical Mathematics 3x9

Numerical Mathematics 3x9This book provides an introduction to methods for practically solving mathematical problems, such as solving systems of linear equations, determining eigenvalues, approximating an…

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Tugal Zhanlav, Ochbadrakh Chuluunbaatar
New Developments of Newton-Type Iterations for Solving Nonlinear Problems

This comprehensive book delves into the intricacies of Newton-type methods for nonlinear equations, offering insights into their convergence, accelerations, and extensions. Divided into three parts, the b…

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Peter J. Costa
Select Ideas in Partial Differential Equations

This book provides a concise but thorough introduction to partial differential equations which model phenomena that vary in both space and time. The author begins with a full explanation of the fundamenta…

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Shouchuan Hu, Nikolaos S. Papageorgiou
Research Topics in Analysis, Volume II

This book, the second of two volumes, presents significant applications for understanding modern analysis. It empowers young researchers with key techniques and applications to explore various subfields o…

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Boris Buffoni, John Toland
Connected Sets in Global Bifurcation Theory

This book explores the topological properties of connected and path-connected solution sets for nonlinear equations in Banach spaces, focusing on the distinction between these concepts. Building on Rabino…

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Systems Theory and PDEs

This volume presents recent advances and open problems in the cross section of infinite-dimensional systems theory and the modern treatment of PDEs. Chapters are based on talks and problem sessions from t…

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Carl L. Gardner
Applied Numerical Methods for Partial Differential Equations

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 nume…

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Advanced Studies in Nonlinear Dynamical Systems

This book is a compilation of select chapter from the 2023 International Conference on Nonlinear Science and Complexity. It presents recent advancements, discoveries, and ongoing research in various facet…

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Youssef N. Raffoul
Difference Equations and Applications

Difference Equations and Applications provides unique coverage of high-level topics in the application of difference equations and dynamical systems. The book begins with extensive coverage of the calculu…

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Bjarne S. Jensen
The Elements and Dynamic Systems of Economic Growth and Trade Models

This updated and expanded book examines the fundamentals of economic growth models as expressed by dynamic systems of nonlinear differential equations. With homogeneous dynamic systems as the unifying mat…

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2 Bücher

Ulziibayar Vandandoo, Tugal Zhanlav, Galmandakh Chuluunbaatar, Alexander Gusev
High-Order Finite Difference and Finite Element Methods for Solving Some Partial Differential Equations

This monograph is intended for graduate students, researchers and teachers. It is devoted to the construction of high-order schemes of the finite difference method and the finite element method for the so…

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Andrew J. Kurdila, John A. Burns, Andrea L'Afflitto
Data-Driven, Nonparametric, Adaptive Control Theory

Data-Driven, Nonparametric, Adaptive Control Theory introduces a novel approach to the control of deterministic, nonlinear ordinary differential equations affected by uncertainties. The methods proposed e…

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José Emílio Maiorino, Edmundo Capelas De Oliveira
Analytical Methods in Applied Mathematics

This book compiles an extensive list of solved and proposed problems in mathematical topics in analysis, aimed at students of mathematics, applied mathematics, physics, and engineering.The book begins wit…

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Panpan Ren Feng-Yu Wang
Distribution Dependent Stochastic Differential Equations

Corresponding to the link of Itô's stochastic differential equations (SDEs) and linear parabolic equations, distribution dependent SDEs (DDSDEs) characterize nonlinear Fokker-Planck equations. This type o…

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