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Michail Zhitomirskii
Ordinary Differential Equations: Basic Methods, Qualitative Theory, and Fun Models

One of the few books on Ordinary Differential Equations (ODEs), this book contains both qualitative theory, allowing students to analyze the solutions without obtaining formulas, and methods and technique…

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Farah Kanbar
Asymptotic and Stationary Preserving Schemes for Kinetic and Hyperbolic Partial Differential Equations

In this thesis, we are interested in numerically preserving stationary solutions of balance laws. We start by developing finite volume well-balanced schemes for the system of Euler equations and the syste…

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

Lecture Notes in Computational Science and Engineering -Band 137

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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J. Hymers
A Treatise on Differential Equations, and on the Calculus of Finite Differences

Reprint of the original.

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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

Synthesis Lectures on Engineering, Science, and Technology

The monograph is devoted to the construction of the high-order finite difference and finite element methods for numerical solving multidimensional boundary-value problems (BVPs) for different partial diff…

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Marco Schuchmann
Jetzt lerne ich Analysis für die Oberstufe

In diesem Buch werden Anwendungen der Analysis in der Oberstufe mit vielen Beispielen beschrieben. Die Beschreibungen orientieren sich an den Aufgaben- und Problemstellungen, wie sie in der Oberstufe an G…

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Extended Abstracts MWCAPDE 2023

Research Perspectives Ghent Analysis and PDE Center -Band 1

This collection consists of selected scientific results stemming from the conference "Methusalem Workshop on Classical Analysis and PDEs", held at the Ghent University from 27th February 2023 to 1st March…

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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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Clemens Heitzinger
Algorithms with JULIA

This book provides an introduction to modern topics in scientific computing and machine learning, using JULIA to illustrate the efficient implementation of algorithms. In addition to covering fundamental …

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