Results 171 to 180 of about 7,774 (220)

A fast solver for riemann problems

Mathematical Methods in the Applied Sciences, 1985
AbstractAn efficient algorithm is presented for solving the Riemann problem for a polytropic gas. It enables the user to compute the solution for all physically reasonable data. The convergence of the algorithm is proved. The accuracy of the solution is limited only by the accuracy of the computer. There is an a‐priori estimation of the required number
E. Halter, E. Martensen
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The Riemann and Riemann-Hilbert Problems

1987
In this chapter the Riemann and the Riemann-Hilbert problems are stated. The first problem is so easy to solve that one might say it is almost obvious. Nevertheless it is discussed here in order to prepare for the exposition of the same question in several variables studied in Chapter 9 which is by no means easy.
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The Riemann Problem

1987
In Chapter I we analyzed the mapping from the functions Ψ(x), to the transition coefficients and discrete spectrum of the auxiliary linear problem. We saw that for both rapidly decreasing and finite density boundary conditions this “change of variables” makes the dynamics quite simple because the time evolution of the transition coefficients ...
Ludwig D. Faddeev, Leon A. Takhtajan
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Solution of the Riemann problem of classical gasdynamics

Journal of Computational Physics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
QUARTAPELLE PROCOPIO, LUIGI, CASTELLETTI, LUIGI MARIA LEONARDO, GUARDONE, ALBERTO MATTEO ATTILIO, QUARANTA, GIUSEPPE   +3 more
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ON THE RIEMANN PROBLEM FOR A REACTING MIXTURE OF GASES

Waves and Stability in Continuous Media, 2004
Autore del Libro EDS. MONACO R.; PENNISI S.; RIONERO S.; RUGGERI T.. Titolo del Libro Proceedings "WASCOM 2003" - 12th Conference on Waves and Stability in Continuous Media.
CONFORTO, Fiammetta, JANNELLI, Alessandra, MONACO R, RUGGERI T.   +3 more
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The Riemann-Hilbert Problem on the Riemann Surface

2019
Here we reduce Eq. ( 15.11) to the Riemann-Hilbert problem. Let us recall that the function \(\hat v_{21}\) is meromorphic in \( \varPi _{-2\varPhi }^\pi \) by ( 15.9) and Lemma 15.2. Consider the strip $$\displaystyle W:=\varPi _{\pi -2\varPhi }^\pi .$$
Alexander Komech, Anatoli Merzon
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The Riemann Problem

2002
In this chapter, we study the Riemann problem for scalar conservation laws. In Section 1 we discuss several formulations of the entropy condition. Then, in Section 2 we construct the classical entropy solution satisfying, by definition, all of the entropy inequalities; see Theorems 2.1 to 2.4.
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The Riemann problem

2000
Abstract Let γ ⊆ ℝn be an open set and let f : γ  ↦  ℝn be a smooth vector field. The Riemann problem for the system of conservation laws consists in finding a weak solution of (5.1) with piecewise constant initial data of the ...
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The Riemann Problem for Systems

2002
We return to the conservation law (1.2), but now study the case of systems, i.e., $$\displaystyle u_{t}+f(u)_{x}=0,$$ (5.1) where \(u=u(x,t)=(u_{1},\dots,u_{n})\) and \(f=f(u)=(f_{1},\dots,f_{n})\in C^{2}\) are vectors in \(\mathbb{R}^{n}\).
Helge Holden, Nils Henrik Risebro
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Riemann-Hilbert problems

2016
In his famous dissertation from 1851, Bernhard Riemann (1826–1866) formulated the following problem: In a given bounded domain of the complex plane, determine a holomorphic function, if a relation is prescribed between the boundary values of its real part and its imaginary part. In the case of a linear relation this problem was first considered in 1904
Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig   +2 more
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