The second edition of Introduction to Partial Differential Equations, which originally appeared in the Princeton series Mathematical Notes, serves as a text for mathematics students at the intermediate graduate level.
This book presents the proceedings of two minisymposia—“Delay and Stochastic Differential Equations in Life Sciences and Engineering” and “Stochastic Modelling in Finance”—held at the International Congress on Industrial and Applied Mathematics (ICIAM) 2023 in Tokyo, Japan.
This book presents the proceedings of two minisymposia—“Delay and Stochastic Differential Equations in Life Sciences and Engineering” and “Stochastic Modelling in Finance”—held at the International Congress on Industrial and Applied Mathematics (ICIAM) 2023 in Tokyo, Japan.
This book provides a self-contained presentation of the mathematical foundations, constructions, and tools necessary for studying problems where the modeling, optimization, or control variable is no longer a set of parameters or functions but the shape or the structure of a geometric object.
This book provides a self-contained presentation of the mathematical foundations, constructions, and tools necessary for studying problems where the modeling, optimization, or control variable is no longer a set of parameters or functions but the shape or the structure of a geometric object.
Many phenomena in social, natural and engineering fields are governed by wave, potential, parabolic heat-conduction, hyperbolic heat-conduction and dual-phase-lagging heat-conduction equations.
Harmonic and biharmonic boundary value problems (BVP) arising in physical situations in fluid mechanics are, in general, intractable by analytic techniques.
Darboux Transformation of Nonlinear Schrodinger Equations: A Guide and a Tutorial is an easy to follow guide for the application of the Darboux transformation (DT) to the nonlinear Schrodinger equation (NLSE), including all versions that admit a Lax Pair such as integrable NLSEs.
Darboux Transformation of Nonlinear Schrodinger Equations: A Guide and a Tutorial is an easy to follow guide for the application of the Darboux transformation (DT) to the nonlinear Schrodinger equation (NLSE), including all versions that admit a Lax Pair such as integrable NLSEs.
This textbook is rich with real-life data sets, uses RStudio to streamline computations, builds "e;big picture"e; conceptual understandings, and applies them in diverse settings.
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 equations into boundary integro-differential equations with weak singularities.
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 equations into boundary integro-differential equations with weak singularities.
This book offers advanced undergraduates, graduate students, and researchers a comprehensive introduction to both the classical and modern Calculus of Variations.
Presenting a rich collection of exercises on partial differential equations, this textbook—now in its second edition—equips readers with over 600 examples, exercises, and problems, complete with detailed solutions or hints.
This volume contains a collection of articles on state-of-the-art developments in the construction of theoretical integral techniques and their application to specific problems in science and engineering.
This volume contains a collection of articles on state-of-the-art developments in the construction of theoretical integral techniques and their application to specific problems in science and engineering.
This book offers a comprehensive and interdisciplinary perspective on healthcare intelligent systems, highlighting the growing role of applied mathematics, data-driven methodologies, and artificial intelligence in modern healthcare.
Presenting a rich collection of exercises on partial differential equations, this textbook—now in its second edition—equips readers with over 600 examples, exercises, and problems, complete with detailed solutions or hints.
Ziel dieses Lehrbuchs ist es, das Material des zweiten Semesters eines Vorlesungszyklus zur Analysis prägnant und verständlich darzustellen und darüber hinaus Ausblicke und Ergänzungen zu geben, die den Stoff lebendig werden lassen.
Ziel dieses Lehrbuchs ist es, das Material des zweiten Semesters eines Vorlesungszyklus zur Analysis prägnant und verständlich darzustellen und darüber hinaus Ausblicke und Ergänzungen zu geben, die den Stoff lebendig werden lassen.
Iterative Splitting Methods for Differential Equations explains how to solve evolution equations via novel iterative-based splitting methods that efficiently use computational and memory resources.
This self-contained book provides systematic instructive analysis of uncertain systems of the following types: ordinary differential equations, impulsive equations, equations on time scales, singularly perturbed differential equations, and set differential equations.
This book presents the theory of dynamic equations on time scales and applications, providing an overview of recent developments in the foundations of the field as well as its applications.
This book presents the theory of dynamic equations on time scales and applications, providing an overview of recent developments in the foundations of the field as well as its applications.
Since its publication more than 15 years ago, Heat Conduction Using Green's Functions has become the consummate heat conduction treatise from the perspective of Green's functions-and the newly revised Second Edition is poised to take its place.
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.
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.
Die immer leistungsfähiger werdende Computertechnik hat in den letzten Jahrzehnten auch zu einer grandiosen Entwicklung der Strömungssimulation geführt.
