hyperbolic equation - Axtarish в Google
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The solutions of hyperbolic equations are "wave-like". If a disturbance is made in the initial data of a hyperbolic differential equation, then not every point ... Definition · Examples · Hyperbolic systems of first...
Гиперболические уравнения Гиперболические уравнения
Гиперболические уравнения — класс дифференциальных уравнений в частных производных. Характеризуются тем, что задача Коши с начальными данными, заданными на нехарактеристической поверхности, однозначно разрешима. Википедия
In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Hyperbolic angle · Inverse hyperbolic functions · List of integrals of hyperbolic...
Hyperbolic PDEs arise in physical applications as models of waves, such as acoustic, elastic, electromagnetic, or gravitational waves. The qualitative ...
In this chapter we shall study the mathematical properties of hyperbolic equations, and analytic methods how to solve them for simple linear problems. This ...
Note that the vertices, co-vertices, and foci are related by the equation c2=a2+b2 c 2 = a 2 + b 2 . When we are given the equation of a hyperbola, we can use ...
17 мая 2012 г. · For example, the equations of the form a∂U/∂t+bt∂2U/∂t2−(∂2/∂x2+∂2/∂y2+∂2/∂z2)U=0, where a,b are constants and a,b>0 are hyperbolic ...
Description. Hyperbolic equation solver. Solves PDE problems of the type. d ∂ 2 u ∂ t 2 − ∇ ⋅ ( c ∇ u ) + a u = f.
Weak solutions (discontinuous) to the hyperbolic differential equation may exist. Assuming a discontinuity along a line x = s(t)= ˙st, we get: [f(u)] = ˙s[u] ...
Typically, it applies to first-order equations, although more generally the method of characteristics is valid for any hyperbolic partial differential equation.
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