The main purpose of this paper is to develop and simplify the general conditions for an s-stage explicit canonical difference scheme of q-th order, while the simplified order conditions for canonical RKN methods which...
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The main purpose of this paper is to develop and simplify the general conditions for an s-stage explicit canonical difference scheme of q-th order, while the simplified order conditions for canonical RKN methods which are applied to a special kind of second order ordinary differential equations are also obtained here.
In this paper, we obtain H1 norm estimate for multigrid method for plate bending problem. Meanwhile, optimal convergence rate under H1 norm is also obtainted for nested iteration multigrid method.
In this paper, we obtain H1 norm estimate for multigrid method for plate bending problem. Meanwhile, optimal convergence rate under H1 norm is also obtainted for nested iteration multigrid method.
This paper is interested in a system of conservation laws with a stiff relaxation term arised in viscoelasticity. The properties of a class of fully implicit finite difference methods approximating this system are ana...
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This paper is interested in a system of conservation laws with a stiff relaxation term arised in viscoelasticity. The properties of a class of fully implicit finite difference methods approximating this system are analyzed, which include maximum principles, bounds on the total variation, Ll-bounds, and L1-continuity estimates in term of some conserved physical quantity and this characteristic variables generated by difference schemes with proper initial data. These estimates are necessary for the existence of a bounded-total variation (BV) solution. Furthermore, we show that numerical entropy inequalities for some convex entropy pairs of the fully system hold.
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