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From Particle Systems to Partial Differential Equations

This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations X, which was held at the University of Minho, Braga, Portugal, from 2022. It includes…

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Advances in Partial Differential Equations and Control

This volume presents a timely overview of control theory and related topics, such as the reconstruction problem, the stability of PDEs, and the Calderón problem. The chapters are based on talks given at t…

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Khaled Zennir Svetlin G Aissa Boukarou
Partial Differential Equations In Sobolev & Analytic Spaces

Partial Differential Equations (PDEs) are fundamental in fields such as physics and engineering, underpinning our understanding of sound, heat, diffusion, electrostatics, electrodynamics, thermodynamics, …

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Gabriel R. Barrenechea, Petr Knobloch, Volker John
Monotone Discretizations for Elliptic Second Order Partial Differential Equations

This book offers a comprehensive presentation of numerical methods for elliptic boundary value problems that satisfy discrete maximum principles (DMPs). The satisfaction of DMPs ensures that numerical sol…

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Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1

The volume features high-quality papers based on the presentations at the ICOSAHOM 2020+1 on spectral and high order methods. The carefully reviewed articles cover state of the art topics in high order di…

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Mohsen Zayernouri, Li-Lian Wang, Jie Shen
Spectral and Spectral Element Methods for Fractional Ordinary and Partial Differential Equations

Leaders of the field break down global spectral methods for fractional differential equations, a new frontier of mathematical modeling.

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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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Pascal Remy
Asymptotic Expansions and Summability

This book provides a comprehensive exploration of the theory of summability of formal power series with analytic coefficients at the origin of Cn, aiming to apply it to formal solutions of partial differe…

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Eduardo V. Teixeira
Free Boundary Problems

De Gruyter Series in Nonlinear Analysis and Applications

This book offers a comprehensive introduction to modern techniques in the study of free boundary problems of diffusive type. Applications of such methods are thoroughly explained by emblematic examples of…

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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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Jianke Yang, Bo Yang
Rogue Waves in Integrable Systems

This book offers a holistic picture of rogue waves in integrable systems. Rogue waves are a rare but extreme phenomenon that occur most famously in water, but also in other diverse contexts such as plasma…

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Advances in Numerical Methods for Hyperbolic Balance Laws and Related Problems

A broad range of phenomena in science and technology can be described by non-linear partial differential equations characterized by systems of conservation laws with source terms. Well known examples are …

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