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Symmetry operators for Riemann’s method
Journal of Mathematical Physics, 2004Riemann’s method is one of the definitive ways of solving Cauchy’s problem for a second order linear hyperbolic partial differential equation in 2 variables. Chaundy’s equation, with 4 parameters, is the most general self-adjoint equation for which the Riemann function is known.
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Remarks on Riemann’s method of characteristics
The Journal of the Acoustical Society of America, 1988The method of Riemann characteristics has been used for more than a century to describe linear and nonlinear waves propagating in a medium. In this paper, the history of the method of characteristics is reviewed and examples of its use are provided. The useful properties of the method of characteristics are discussed, namely: that it may be applied to ...
Henry M. Paynter +1 more
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Summability Methods Defined by Riemann Sums
Canadian Journal of Mathematics, 1953Let f(x) be real valued, bounded and, integrable in the sense of Riemann on the interval X = (0 < x < 1), with the value of its integral over X equal to one. For brevity we call such a function admissible.The symbol Xnk will always denote the interval an arbitrarily ...
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An Embedding Method for the Cauchy—Riemann Equations
IMA Journal of Numerical Analysis, 1985Die Arbeit befaßt sich mit der numerischen Lösung des folgenden Systems erster Ordnung in drei Dimensionen: \(div u=a,\quad rot u=b,\) mit verschwindender Normalkomponente auf dem Rande. Probleme dieser Art tauchen bei vielen Fragestellungen in der Strömungsmechanik auf. Die Gleichungen werden in ein elliptisches System eingebettet, dessen Lösung unter
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Riemann’s Method in Plasticity: A Review
2017This paper deals with models of pressure-independent and pressure dependent plasticity under plane strain conditions and provides a review of quantities satisfying the equation of telegraphy. This equation can be solved by the method of Riemann. In particular, the Green’s function for the equation of telegraphy is the Bessel function of zero order.
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Riemann problem method for generalized Heisenberg equation
Physica D: Nonlinear Phenomena, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A contact-electro-catalytic cathode recycling method for spent lithium-ion batteries
Nature Energy, 2023, Andy Berbille, Wei Tang
exaly

