| 词汇 | hyperbolic-partial-differential-equation |
| 释义 | BETA hyperbolic partial differential equationcollocation in Englishmeanings of hyperbolic, partial, differentialand equationThese words are often used together. Click on the links below to explore the meanings. hyperbolic adjective uk /ˌhaɪ.pəˈbɒl.ɪk/ us /ˌhaɪ.pɚˈbɑː.lɪk/ formal relating to a way of speaking or writing that makes someone or something sound bigger, better, more, etc., than ... See more at hyperbolic partial noun[ C ] uk /ˈpɑː.ʃəl/ us /ˈpɑːr.ʃəl/ music specialized one part that makes up a complex musical note (= one that includes different sound waves); an overtone or ... See more at partial differential noun[ C ] uk /ˌdɪf.əˈren.ʃəl/ us /ˌdɪf.əˈren.ʃəl/ an amount of difference between things that ... See more at differential equation noun uk /ɪˈkweɪ.ʒən/ us /ɪˈkweɪ.ʒən/ a mathematical statement in which you show that two amounts are equal using ... See more at equation Examples of hyperbolic partial differential equationhyperbolic partial differential equation Another, more extreme, example of the need for anisotropic resolution is a contact discontinuity in the solution to a hyperbolicpartialdifferentialequation. This approximation can then be applied to areas beyond classical electromagnetism such as fluid mechanics, magnetohydrodynamics, thermodynamics, and generally, any hyperbolicpartialdifferentialequation. From 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 generally hyperbolicpartialdifferentialequation, it is unstable unless artificial viscosity is included. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Which is a hyperbolicpartialdifferentialequation, like the original wave equation, but now of first-order instead of second-order. From 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 any hyperbolicpartialdifferentialequation. From 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. Technically, the equations to be solved are conservation laws, or, more generally, first-order, quasilinear, hyperbolic partial differential equations. 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. His primary area of research involves the development of numerical schemes for hyperbolic partial differential equations using finite difference method. From 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. From 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. From 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. From 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. From 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. From 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. From 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. |
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