On the convergence rate of the conjugate gradients in presence of rounding errors.
On the convergence theory of double -weak splittings of type II
Recently, Wang (2017) has introduced the -nonnegative double splitting using the notion of matrices that leave a cone invariant and studied its convergence theory by generalizing the corresponding results for the nonnegative double splitting by Song and Song (2011). However, the convergence theory for -weak regular and -nonnegative double splittings of type II is not yet studied. In this article, we first introduce this class of splittings and then discuss the convergence theory for these sub-classes...
On the correctness of some bisection-like parallel eigenvalue algorithms in floating point arithmetic.
On the coupled BEM and FEM for a nonlinear exterior Dirichlet problem in R2.
On the coupling of finite elements and boundary elements for transonic potential flow computations
On the creation of a stable drop-like static meniscus, appropriate for the growth of a single crystal tube with prior specified inner and outer radii.
On the decrease of a quadratic function along the projected-gradient path.
On the definition of the SUPG parameter.
On the degree of asymmetry in the travelling salesman problem
On the derivation of the modified equation for the analysis of linear numerical methods
On the Design of High Order Exponentially Fitted Formulae for the Numerical Integration of Stiff Systems.
On the Determination of Higher Order Terms of Singular Elastic Stress Fields Near Corners.
On the Direct Solution of Preconditioned Linear Equations
On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus.
On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus, II.
On the discrepancy of some hybrid sequences
On the discrete harmonic wavelet transform.
On the discrete maximum principle for parabolic difference operators
On the discretization in time of parabolic stochastic partial differential equations
We first generalize, in an abstract framework, results on the order of convergence of a semi-discretization in time by an implicit Euler scheme of a stochastic parabolic equation. In this part, all the coefficients are globally Lipchitz. The case when the nonlinearity is only locally Lipchitz is then treated. For the sake of simplicity, we restrict our attention to the Burgers equation. We are not able in this case to compute a pathwise order of the approximation, we introduce the weaker notion...
On the discretization in time of parabolic stochastic partial differential equations
We first generalize, in an abstract framework, results on the order of convergence of a semi-discretization in time by an implicit Euler scheme of a stochastic parabolic equation. In this part, all the coefficients are globally Lipchitz. The case when the nonlinearity is only locally Lipchitz is then treated. For the sake of simplicity, we restrict our attention to the Burgers equation. We are not able in this case to compute a pathwise order of the approximation, we introduce the weaker notion...