De Gruyter Series in Applied and Numerical Mathematics – serie
Visar alla böcker i serien De Gruyter Series in Applied and Numerical Mathematics. Handla med fri frakt och snabb leverans.
13 produkter
Stochastically Forced Compressible Fluid Flows
Av Dominic Breit, Eduard Feireisl m. fl.
Inbunden, 2018
1791 kr
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This book contains a first systematic study of compressible fluid flows subject to stochastic forcing. The bulk is the existence of dissipative martingale solutions to the stochastic compressible Navier-Stokes equations. These solutions are weak in the probabilistic sense as well as in the …
Richardson Extrapolation
Practical Aspects and Applications
Av Zahari Zlatev, Ivan Dimov m. fl.
Inbunden, 2017
2095 kr
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Scientists and engineers are mainly using Richardson extrapolation as a computational tool for increasing the accuracy of various numerical algorithms for the treatment of systems of ordinary and partial differential equations and for improving the computational efficiency of the solution process …
Free Boundaries in Rock Mechanics
Av Anvarbek Meirmanov, Oleg V. Galtsev m. fl.
Inbunden, 2017
1791 kr
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This monograph is concerned with free-boundary problems of partial differential equations arising in the physical sciences and in engineering. The existence and uniqueness of solutions to the Hele-Shaw problem are derived and techniques to deal with the Muskat problem are discussed. Based on these, …
Boltzmann Equation, Maxwell Models, and Hydrodynamics beyond Navier-Stokes
Inbunden, 2020
1742 kr
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This two-volume monograph is a comprehensive and up-to-date presentation of the theory and applications of kinetic equations. The first volume covers many-particle dynamics, Maxwell models of the Boltzmann equation (including their exact and self-similar solutions), and hydrodynamic limits beyond …
Landau Equation, Boltzmann-type Equations, Discrete Models, and Numerical Methods
Inbunden, 2024
2279 kr
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This two-volume monograph is a comprehensive and up-to-date presentation of the theory and applications of kinetic equations. The second volume covers discrete velocity models of the Boltzmann equation, results on the Landau equation, and numerical (deterministic and stochastic) methods for the …
Parabolic Equations with Irregular Data and Related Issues
Applications to Stochastic Differential Equations
Av Claude Le Bris, Pierre-Louis Lions
Inbunden, 2019
1563 kr
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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 related equations, and also examines the connection …
Neural Networks and Numerical Analysis
Inbunden, 2022
2159 kr
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This book uses numerical analysis as the main tool to investigate methods in machine learning and neural networks. The efficiency of neural network representations for general functions and for polynomial functions is studied in detail, together with an original description of the Latin hypercube …
Metamaterial Analysis and Design
A Mathematical Treatment of Cochlea-inspired Sensors
Inbunden, 2023
2239 kr
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Metamaterials are advanced composite materials which have exotic and powerful properties. Their complicated microstructures make metamaterials challenging to model, requiring the use of sophisticated mathematical techniques. This book uses a from-first-principles approach (based on boundary …
Numerical Simulation of Incompressible Viscous Flow
Methods and Applications
Av Roland Glowinski, Tsorng-Whay Pan
Inbunden, 2022
2312 kr
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This book on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to apply operator splitting techniques to decouple complicated computational fluid dynamics problems into a sequence of relatively simpler sub-problems at each time step, …
Finite Difference Methods for Nonlinear Evolution Equations
Av Zhi-Zhong Sun, Qifeng Zhang m. fl.
Inbunden, 2023
2166 kr
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Nonlinear evolution equations are widely used to describe nonlinear phenomena in natural and social sciences. However, they are usually quite difficult to solve in most instances. This book introduces the finite difference methods for solving nonlinear evolution equations. The main numerical …
Solution of Initial-Boundary Value Problems
Method of Moving Modes
Inbunden, 2025
1633 kr
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Methods for solving problems of mathematical physics can be divided into the following four classes. Analytical methods (the method of separation of variables, the method of characteristics, the method of Green's functions, etc.) methods have a relatively low degree of universality, i.e. focused on …
Nonlinear Dynamical Systems
Modeling in Physical, Biological and Social Sciences
Inbunden, 2026
2092 kr
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This textbook provides an accessible introduction to the theory and applications of dynamical systems, with a balanced treatment of discrete-time and continuous models. Beginning with core modelling principles, the book develops the mathematical tools needed to analyse qualitative behaviour, …
Regularity Theory for Generalized Navier–Stokes Equations
Non-Newtonian Fluids with Variable Power-Law
Av Cholmin Sin, Evgenii S. Baranovskii
Inbunden, 2025
2228 kr
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This book delves into the recent findings and research methods in the existence and regularity theory for Non-Newtonian Fluids with Variable Power-Law. The aim of this book is not only to introduce recent results and research methods in the existence and regularity theory, such as higher …
