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MOC
2010
13 years 6 days ago
Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
In this paper, a Jacobi-collocation spectral method is developed for Volterra integral equations of the second kind with a weakly singular kernel. We use some function transformati...
Yanping Chen, Tao Tang
FOCM
2010
90views more  FOCM 2010»
13 years 4 months ago
Convergence of a Time Discretisation for Doubly Nonlinear Evolution Equations of Second Order
The convergence of a time discretisation with variable time steps is shown for a class of doubly nonlinear evolution equations of second order. This also proves existence of a weak...
Etienne Emmrich, Mechthild Thalhammer
MOC
2010
13 years 6 days ago
Convergent finite element discretization of the multi-fluid nonstationary incompressible magnetohydrodynamics equations
Abstract. We propose a convergent implicit stabilized finite element discretization of the nonstationary incompressible magnetohydrodynamics equations with variable density, viscos...
Lubomír Bañas, Andreas Prohl
STOC
2007
ACM
132views Algorithms» more  STOC 2007»
14 years 5 months ago
On the convergence of Newton's method for monotone systems of polynomial equations
Monotone systems of polynomial equations (MSPEs) are systems of fixed-point equations X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where each fi is a polynomial with p...
Stefan Kiefer, Michael Luttenberger, Javier Esparz...
MOC
1998
86views more  MOC 1998»
13 years 5 months ago
Convergence analysis of a covolume scheme for Maxwell's equations in three dimensions
This paper contains error estimates for covolume discretizations of Maxwell’s equations in three space dimensions. Several estimates are proved. First, an estimate for a semi-dis...
R. A. Nicolaides, D.-Q. Wang