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Nonlinear Reaction-Diffusion-Convection Equations
It is well known that symmetry-based methods are very powerful tools for investigating nonlinear partial differential equations (PDEs), notably for their reduction to those of lower dimensionality (e.g. to ODEs) and constructing exact solutions. This book is devoted to (1) search Lie and conditional (non-classical) symmetries of nonlinear RDC equations, (2) constructing exact solutions using the symmetries obtained, and (3) their applications for solving some biologically and physically motivated problems. The book summarises the results derived by the authors during the last 10 years and those obtained by some other authors.
Mathematical Modelling of Waves in Multi-Scale Structured Media
Mathematical Modelling of Waves in Multi-Scale Structured Media presents novel analytical and numerical models of waves in structured elastic media, with emphasis on the asymptotic analysis of phenomena such as dynamic anisotropy, localisation, filtering and polarisation as well as on the modelling of photonic, phononic, and platonic crystals.
Elastic Waves
Elastic Waves: High Frequency Theory is concerned with mathematical aspects of the theory of high-frequency elastic waves, which is based on the ray method. The foundations of elastodynamics are presented along with the basic theory of plane and spherical waves. The ray method is then described in considerable detail for bulk waves in isotropic and anisotropic media, and also for the Rayleigh waves on the surface of inhomogeneous anisotropic elastic solids. Much attention is paid to analysis of higher-order terms and to generation of waves in inhomogeneous media. The aim of the book is to present a clear, systematic description of the ray method, and at the same time to emphasize its mathematical beauty. Luckily, this beauty is usually not accompanied by complexity and mathematical ornateness.
Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications
This book describes, in a basic way, the most useful and effective iterative solvers and appropriate preconditioning techniques for some of the most important classes of large and sparse linear systems. The solution of large and sparse linear systems is the most time-consuming part for most of the scientific computing simulations. Indeed, mathematical models become more and more accurate by including a greater volume of data, but this requires the solution of larger and harder algebraic systems. In recent years, research has focused on the efficient solution of large sparse and/or structured systems generated by the discretization of numerical models by using iterative solvers.
Das Altertum
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Mathematical Reviews
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Nonlinear Reaction-Diffusion Systems
This book presents several fundamental results in solving nonlinear reaction-diffusion equations and systems using symmetry-based methods. Reaction-diffusion systems are fundamental modeling tools for mathematical biology with applications to ecology, population dynamics, pattern formation, morphogenesis, enzymatic reactions and chemotaxis. The book discusses the properties of nonlinear reaction-diffusion systems, which are relevant for biological applications, from the symmetry point of view, providing rigorous definitions and constructive algorithms to search for conditional symmetry (a nontrivial generalization of the well-known Lie symmetry) of nonlinear reaction-diffusion systems. In order to present applications to population dynamics, it focuses mainly on two- and three-component diffusive Lotka-Volterra systems. While it is primarily a valuable guide for researchers working with reaction-diffusion systems and those developing the theoretical aspects of conditional symmetry conception, parts of the book can also be used in master’s level mathematical biology courses.
Lie Symmetry Analysis of Fractional Differential Equations
The trajectory of fractional calculus has undergone several periods of intensive development, both in pure and applied sciences. During the last few decades fractional calculus has also been associated with the power law effects and its various applications. It is a natural to ask if fractional calculus, as a nonlocal calculus, can produce new results within the well-established field of Lie symmetries and their applications. In Lie Symmetry Analysis of Fractional Differential Equations the authors try to answer this vital question by analyzing different aspects of fractional Lie symmetries and related conservation laws. Finding the exact solutions of a given fractional partial differential ...
Übersetzungslandschaften
Was kennzeichnet die Form des Übersetzens von Literatur? Dieser Band gibt einen umfassenden Überblick über die zentralen Fragen der literarischen Übersetzung, mit denen sich Übersetzer_innen zwischen dem Deutschen und fünf slawischen Sprachen (Tschechisch, Polnisch, Slowenisch, Kroatisch, Ukrainisch) konfrontiert sehen. Die Beiträger_innen erörtern u.a. Phänomene der kulturellen Übersetzung und der Interkulturalität im ostmitteleuropäischen Kontext, den Einfluss von Machtverhältnissen auf die Übersetzung sowie Aspekte der Gesellschaftskritik in der Übersetzung. In sechs ›Panoramen‹ werden zudem die aktuelle Situation und die Hauptakteure der Literaturübersetzung in den genannten Ländern übersichtlich vorgestellt.
The Frontline
The Frontline presents a selection of essays drawn together for the first time to form a companion volume to Serhii Plokhy’s The Gates of Europe and Chernobyl. Here he expands upon his analysis in earlier works of key events in Ukrainian history, including Ukraine’s complex relations with Russia and the West, the burden of tragedies such as the Holodomor and World War II, the impact of the Chernobyl nuclear disaster, and Ukraine’s contribution to the collapse of the Soviet Union. Juxtaposing Ukraine’s history to the contemporary politics of memory, this volume provides a multidimensional image of a country that continues to make headlines around the world. Eloquent in style and comprehensive in approach, the essays collected here reveal the roots of the ongoing political, cultural, and military conflict in Ukraine, the largest country in Europe.
