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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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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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Edward C. Waymire, Rabi Bhattacharya
Continuous Parameter Markov Processes and Stochastic Differential Equations

This graduate text presents the elegant and profound theory of continuous parameter Markov processes and many of its applications. The authors focus on developing context and intuition before formalizing …

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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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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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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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T. E. Govindan
Trotter-Kato Approximations of Stochastic Differential Equations in Infinite Dimensions and Applications

This is the first comprehensive book on Trotter-Kato approximations of stochastic differential equations (SDEs) in infinite dimensions and applications. This research monograph brings together the varied …

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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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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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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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Dan Crisan, Daniel Goodair
Stochastic Calculus in Infinite Dimensions and SPDEs

SpringerBriefs in Mathematics

Introducing a groundbreaking framework for stochastic partial differential equations (SPDEs), this work presents three significant advancements over the traditional variational approach. Firstly, Straton…

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Paul Krühner, Fred Espen Benth
Stochastic Models for Prices Dynamics in Energy and Commodity Markets

This monograph presents a theory for random field models in time and space, viewed as stochastic processes with values in a Hilbert space, to model the stochastic dynamics of forward and futures prices in…

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