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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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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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Sergio Vessella
Unique Continuation Properties for Partial Differential Equations

This book provides a comprehensive and self-contained introduction to the study of the Cauchy problem and unique continuation properties for partial differential equations. Aimed at graduate and advanced …

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Kwang Il Kim, Kwan Hung Ri, Song Il Ri
Adaptive Numerical Methods for Hamilton-Jacobi Equations

In recent years, Hamilton-Jacobi equations have attracted a lot of attention due to the important role that they play in various fields of applications.In this book, we introduce recent developments in ad…

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Topological Methods for Delay and Ordinary Differential Equations

This volume explores the application of topological techniques in the study of delay and ordinary differential equations with a particular focus on continuum mechanics. Chapters, written by internationall…

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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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