Books in the de Gruyter Series in Applied and Numerical Mathematics series
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The aim of this book is to provide a practical guide for Richardson extrapolation, a numerical procedure which enhances the accuracy of a wide class of numerical methods for ordinary and partial differential equations, and to study several related s
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The series is devoted to the publication of high-level monographs and specialized graduate texts which cover the whole spectrum of applied mathematics, including its numerical aspects. The focus of the series is on the interplay between mathematical and numerical analysis, and al...so on its applications to mathematical models in the physical and life sciences.
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This monograph investigates free-boundary problems of partial differential equations arising in the physical sciences and engineering. Existence and uniqueness of solutions of the Hele-Shaw problem are derived and techniques to deal with the Muskat
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The series is devoted to the publication of high-level monographs and specialized graduate texts which cover the whole spectrum of applied mathematics, including its numerical aspects. The focus of the series is on the interplay between mathematical and numerical analysis, and al...so on its applications to mathematical models in the physical and life sciences.
Read more
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This book presents a comprehensive treatment of compressible fluid flows which also include stochastic effects. Topics covered are weak and strong solutions of the compressible Navier-Stokes equations, existence, uniqueness, and well-posedeness theo
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This book studies the existence and uniqueness of solutions to parabolic-type equations with irregular coefficients and/or initial conditions. It elaborates on the DiPerna-Lions theory of renormalized solutions to linear transport equations and rela
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The series is devoted to the publication of high-level monographs and specialized graduate texts which cover the whole spectrum of applied mathematics, including its numerical aspects. The focus of the series is on the interplay between mathematical and numerical analysis, and al...so on its applications to mathematical models in the physical and life sciences.
Read more
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