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Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws
The book focuses on stability and approximation results concerning recent numerical methods for the numerical solution of hyperbolic conservation laws. The work begins with a detailed and thorough introduction of hyperbolic conservation/balance laws and their numerical treatment. In the main part, recent results in such context are presented focusing on the investigation of approximation properties of discontinuous Galerkin and flux reconstruction methods, the construction of (entropy) stable numerical methods and the extension of existing (entropy) stability results for both semidiscrete and fully discrete schemes, and development of new high-order methods.
Theory, Numerics and Applications of Hyperbolic Problems II
The second of two volumes, this edited proceedings book features research presented at the XVI International Conference on Hyperbolic Problems held in Aachen, Germany in summer 2016. It focuses on the theoretical, applied, and computational aspects of hyperbolic partial differential equations (systems of hyperbolic conservation laws, wave equations, etc.) and of related mathematical models (PDEs of mixed type, kinetic equations, nonlocal or/and discrete models) found in the field of applied sciences.
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 discretizations of partial differential equations. The volume presents a wide range of topics including the design and analysis of high order methods, the development of fast solvers on modern computer architecture, and the application of these methods in fluid and structural mechanics computations.
Shock capturing and high-order methods for hyperbolic conservation laws
This thesis is concerned with the numerical treatment of hyperbolic conservation laws. These play an important role in describing many natural phenomena. Challenges in their theoretical as well as numerical study stem from the fact that spontaneous shock discontinuities can arise in their solutions, even in finite time and smooth initial states. Moreover, the numerical treatment of hyperbolic conservations laws involves many different fields from mathematics, physics, and computer science. As a consequence, this thesis also provides contributions to several different fields of research - which are still connected by numerical conservation laws, however. These contributions include, but are n...
Lithuania
Now into its fifth edition, Lithuania is an invaluable guide for planning a memorable vacation in this most hospitable of European countries.
Renaissance and Baroque Art and Culture in the Eastern Polish-Lithuanian Commonwealth (1506-1696)
This monograph serves as an introduction to the art, architecture and literary culture of the Eastern Polish-Lithuanian Commonwealth in the 16th and 17th centuries. The geographical area under discussion comprises the regions of contemporary Lithuania, western Belarus and western Ukraine. The introduction of the Renaissance and Baroque classical revival into these lands is considered here within the political context of nationalistic and religious loyalties, as well as economic status and class. The central discussion focuses on the issue of national identity and religious loyalty in the inter-relation between the Byzantine inheritance of the Lithuanian and Ruthenian populace and the Poloniz...
Vilnius with Kaunas
This guide helps visitors explore castles, churches, and monuments; suggests hotels and restaurants to suit every budget and taste; and covers transportation and other practicalities.
Polish Art Studies
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The Polish-Lithuanian Commonwealth, 1733-1795
A major new assessment of the "vanished kingdom" of the Polish-Lithuanian Commonwealth--one which recognizes its achievements before its destruction Richard Butterwick tells the compelling story of the last decades of one of Europe's largest and least understood polities: the Polish-Lithuanian Commonwealth. Drawing on the latest research, Butterwick vividly portrays the turbulence the Commonwealth experienced. Far from seeing it as a failed state, he shows the ways in which it overcame the stranglehold of Russia and briefly regained its sovereignty, the crowning success of which took place on 3 May 1791--the passing of the first Constitution of modern Europe.
