Universal approximation by systems of hill functions
Using successive approximations for improving the convergence of GMRES method
In this paper, our attention is concentrated on the GMRES method for the solution of the system of linear algebraic equations with a nonsymmetric matrix. We perform pre-iterations before starting GMRES and put for the initial approximation in GMRES. We derive an upper estimate for the norm of the error vector in dependence on the th powers of eigenvalues of the matrix . Further we study under what eigenvalues lay-out this upper estimate is the best one. The estimate shows and numerical...
Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method
We present a novel, cell-local shock detector for use with discontinuous Galerkin (DG) methods. The output of this detector is a reliably scaled, element-wise smoothness estimate which is suited as a control input to a shock capture mechanism. Using an artificial viscosity in the latter role, we obtain a DG scheme for the numerical solution of nonlinear systems of conservation laws. Building on work by Persson and Peraire, we thoroughly justify the...
Wavelet approximation methods for pseudodifferential equations: I. Stability and convergence.
О сходимости метода коллокации для некоторых граничных задач математической физики
Приближенные формулы для решения стационарной задачи ЭХО
Решение начально-краевых задач тепломассопереноса методом степенных моментов (бесконечный интервал)
Решение плоской задачи теории упругости для слоистого эксцентричного цилиндра