Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations.
Ashyralyev, Allaberen, Sobolevskii, Pavel E. (2005)
Discrete Dynamics in Nature and Society
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Displaying similar documents to “Stability of a second order of accuracy difference scheme for hyperbolic equation in a Hilbert space.”
Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations.
A note on the difference schemes for hyperbolic equations.
Ashyralyev, A., Sobolevskii, P.E. (2001)
Abstract and Applied Analysis
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Modified Crank-Nicolson difference schemes for nonlocal boundary value problem for the Schrödinger equation.
Ashyralyev, Allaberen, Sirma, Ali (2009)
Discrete Dynamics in Nature and Society
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Well-posedness of the difference schemes of the high order of accuracy for elliptic equations.
Ashyralyev, Allaberen, Sobolevskiĭ, Pavel E. (2006)
Discrete Dynamics in Nature and Society
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On stability properties of solutions of second order differential equations.
Hatvani, L. (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Some alternating sums of Lucas numbers
Zvonko Čerin (2005)
Open Mathematics
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We consider alternating sums of squares of odd and even terms of the Lucas sequence and alternating sums of their products. These alternating sums have nice representations as products of appropriate Fibonacci and Lucas numbers.
Convergence of a Lagrange-Galerkin method for a fluid-rigid body system in ALE formulation
Guillaume Legendre, Takéo Takahashi (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
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We propose a numerical scheme to compute the motion of a two-dimensional rigid body in a viscous fluid. Our method combines the method of characteristics with a finite element approximation to solve an ALE formulation of the problem. We derive error estimates implying the convergence of the scheme.
Rate independent Kurzweil processes
Pavel Krejčí, Matthias Liero (2009)
Applications of Mathematics
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The Kurzweil integral technique is applied to a class of rate independent processes with convex energy and discontinuous inputs. We prove existence, uniqueness, and continuous data dependence of solutions in spaces. It is shown that in the context of elastoplasticity, the Kurzweil solutions coincide with natural limits of viscous regularizations when the viscosity coefficient tends to zero. The discontinuities produce an additional positive dissipation term, which is not homogeneous...
Efficient counting and asymptotics of -noncrossing tangled diagrams.
Chen, William Y.C., Qin, Jing, Reidys, Christian M., Zeilberger, Doron (2009)
The Electronic Journal of Combinatorics [electronic only]
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