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Efficient non-iterative multi-point method for solving the Riemann problem
In computational fluid dynamics (CFD), the Riemann problem is vital for precise fluid flow calculations as it involves the accurate computation of...
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The Butzer-Kozakiewicz article on Riemann derivatives of 1954 and its influence
The article on Riemann derivatives by P. L. Butzer and W. Kozakiewicz of 1954 was the basis to generalizations of the classical scalar-valued...
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Multidimensional Generalized Riemann Problem Solver for Maxwell’s Equations
Approximate multidimensional Riemann solvers are essential building blocks in designing globally constraint-preserving finite volume time domain and...
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On Hodge-Riemann Cohomology Classes
We prove that Schur classes of nef vector bundles are limits of classes that have a property analogous to the Hodge-Riemann bilinear relations. We...
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Comparison of Riemann Solutions for Non-isentropic Modified and Pure Chaplygin Gas Dynamics
In this paper, we investigate the Riemann solutions of the non-isentropic Euler equations for the modified Chaplygin gas and the pure Chaplygin gas,...
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The A-integral for Riemann-measurable vector-valued functions
We propose two possible generalizations of the A -integral within the Riemann measurable functions class and study their basic properties, relation to...
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Functional Asymptotics of Solutions of the Nonlinear Cauchy–Riemann–Beltrami System
We prove a series of theorems on the asymptotic behavior of regular homeomorphic solutions of the nonlinear Cauchy–Riemann–Beltrami-type equation....
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Machine Learning Approaches for the Solution of the Riemann Problem in Fluid Dynamics: a Case Study
We present our results by using a machine learning (ML) approach for the solution of the Riemann problem for the Euler equations of fluid dynamics....
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Riemann-Hilbert problems, Toeplitz operators and ergosurfaces
The Riemann-Hilbert approach, in conjunction with the canonical Wiener-Hopf factorisation of certain matrix functions called monodromy matrices,...
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Asymptotic limits of Riemann solutions to a novel second-order continuous macroscopic traffic flow model
The complete set of exact solutions to the Riemann problem for a novel second-order continuous macroscopic traffic flow model proposed by Hwang and...
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Riemann–Roch formulas for universal bivariant theories
This is a survey of Fulton–MacPherson’s bivariant theory, focusing on an important notion called Riemann–Roch formula . In Yokura (Int J Math...
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Some Riemann–Liouville fractional integral inequalities of corrected Euler–Maclaurin-type
In this research article, an equality is established for Riemann–Liouville fractional integral. With the help of this equality, some corrected...
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Asymptotic behaviors of convolution powers of the Riemann zeta distribution
In probability theory, there are discrete and continuous distributions. Generally speaking, we do not have sufficient kinds and properties of...
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Are there Einsteinian gravities involving covariant derivatives of the Riemann tensor?
We study the particle content of higher derivative theories of gravity built with contractions of the Riemann tensor and its covariant derivatives....
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A Weighted Flow related to a Trudinger-Moser Functional on Closed Riemann Surface
In this paper, with (Σ, g ) being a closed Riemann surface, we analyze the possible concentration behavior of a heat flow related to the...
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The vanishing pressure limits of Riemann solutions to the isothermal two-phase flow model under the external force
The accurate Riemann solutions in fully explicit forms are obtained for the one-dimensional inviscid, compressible, isothermal liquid–gas two-phase...
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Riemann zeros as quantized energies of scattering with impurities
We construct an integrable physical model of a single particle scattering with impurities spread on a circle. The S -matrices of the scattering with...
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Bases for Riemann–Roch spaces of linearized function fields with applications to generalized algebraic geometry codes
Several applications of function fields over finite fields, or equivalently, algebraic curves over finite fields, require computing bases for...
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Two-Dimensional Riemann Problems: Transonic Shock Waves and Free Boundary Problems
We are concerned with global solutions of multidimensional (M-D) Riemann problems for nonlinear hyperbolic systems of conservation laws, focusing on...
