BETA
Examples ofhyperbolic partial differential equation
Dictionary> Examples ofhyperbolic partial differential equation
hyperbolic partial differential equationisn’t in the Cambridge Dictionary yet. You can help!
Add a definition
Another, more extreme, example of the need for anisotropic resolution is a contact discontinuity in the solution to ahyperbolicpartialdifferentialequation.
From theCambridge English Corpus
This approximation can then be applied to areas beyond classical electromagnetism such as fluid mechanics, magnetohydrodynamics, thermodynamics, and generally, anyhyperbolicpartialdifferentialequation.
From
This example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.When used as a method for advection equations, or more generallyhyperbolicpartialdifferentialequation, it is unstable unless artificial viscosity is included.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Which is ahyperbolicpartialdifferentialequation, like the original wave equation, but now of first-order instead of second-order.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Typically, it applies to first-order equations, although more generally the method of characteristics is valid for anyhyperbolicpartialdifferentialequation.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.The resulting equations build a system of hyperbolic partial differential equations.
From theCambridge English Corpus
Technically, the equations to be solved are conservation laws, or, more generally, first-order, quasilinear, hyperbolic partial differential equations.
From theCambridge English Corpus
Convection is governed by hyperbolic partial differential equations which preserve discontinuities, and diffusion by parabolic partial differential equations which ' smooth out ' discontinuities immediately-mathematically by the presence of essential singularities.
From theCambridge English Corpus
His primary area of research involves the development of numerical schemes for hyperbolic partial differential equations using finite difference method.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.He is known for his contributions to the development of numerical methods for the solution of hyperbolic partial differential equations.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.The upwind schemes attempt to discretize hyperbolic partial differential equations by using differencing biased in the direction determined by the sign of the characteristic speeds.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.In particular, he dealt with both elliptical and with hyperbolic partial differential equations of the first order.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Upwind-type differencing schemes attempt to discretize hyperbolic partial differential equations by using differencing biased in the direction determined by the sign of the characteristic speeds.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Research on multilevel techniques for hyperbolic partial differential equations is underway.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Harten made fundamental contribution to the development of high-resolution schemes for the solution of hyperbolic partial differential equations.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.