Results 141 to 150 of about 99,243 (193)

Multiscale homogenization of nonlinear hyperbolic-parabolic equations

Applications of Mathematics, 2022
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Dehamnia, Abdelhakim, Haddadou, Hamid
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Nonlinear hyperbolic volterra integrodifferential equations

Nonlinear Analysis: Theory, Methods & Applications, 1996
The well posedness of the abstract Cauchy problem \[ u'(t) = Au(t) + \int^t_{t_0} K \bigl( t,s,u(s) \bigr) ds + f(t), \quad u(t_0) = u_0 \] is studied, \(A\) denoting a linear Hille-Yosida operator in the Banach space \((X,II \cdot II)\). The paper consists of different Sections, and includes the proof of various theorems. The last Section refers to an
Nagel, Rainer, Sinestrari, Eugenio
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Oscillation Properties of Nonlinear Hyperbolic Equations

SIAM Journal on Mathematical Analysis, 1984
The authors derive a number of new oscillation criteria for hyperbolic equations. First of all, three theorems are proved, giving sufficient conditions for oscillation of solutions of the characteristic initial value problem \[ (2.2)\quad u_{xy}+c(x,y,u)=f(x,y),\quad u_ x(x,0)=g(x),\quad u_ y(0,y)=h(y), \] in an unbounded region contained in the ...
Kreith, Kurt   +2 more
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CENTERED DIFFERENCE SCHEMES FOR NONLINEAR HYPERBOLIC EQUATIONS

Journal of Hyperbolic Differential Equations, 2004
A hierarchy of centered (non-upwind) difference schemes is identified for solving hyperbolic equations. The bottom of the hierarchy is the classical Lax–Friedrichs scheme, which is the least accurate in computation, and the top of the hierarchy is the FORCE scheme, which is the optimal scheme in the family.
Chen, Gui-Qiang, Toro, Eleuterio F.
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Nonlinear Schrödinger Equation and the Hyperbolization Method

Computational Mathematics and Mathematical Physics, 2022
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