The research aims at addressing the current poor performances in mathematics by our secondary school students especially in the areas of solving linear and quadratic equations. The research shows that most of the errors committed by majority of the students are additive errors, multiplicative errors, ...
The first order low-regularity integrator for (1) was first stated in the report [9], which also provides a preliminary discussion of previous results on low-regularity integrators for solving evolution equations. The goal of this article is to study first and second low-regularity schemes for ...
Hence, for AQL algorithms solving optimal control problems of dynamical systems described by nonlinear difference equations, a new optimality error bound analysis framework rather than the PAC framework is needed, in which the continuous parameters and the state aggregation are not involved. Due to ...
Solution of Vandermonde systems of equations. Mathematics of Computation 24, 893–903 (1970). Article MathSciNet Google Scholar Higham, N. Error analysis of the Björck–Pereyra algorithms for solving Vandermonde systems. Numerische Mathematik 50, 613–632 (1987). Article MathSciNet Google ...
However, the regularity analysis carried out in [6, 8, 9, 21] can be used to defer these assumptions to the data in the particular case of Maxwell equations. The analysis we present here is based on the fact that the Peaceman–Rachford scheme can be interpreted as a perturbation of the...
Abstract In this paper we present Fourier type error analysis on the recent four discontinuous Galerkin methods for diffusion equations, namely the direct discontinuous Galerkin (DDG) method (Liu and Yan in SIAM J. Numer. Anal. 47(1):475–698,2009); the DDG method with interface corrections ...
Then, projecting Nk onto V2k yields the symmetry operators S2k, and solving the resulting linear system of equations recovers the ideal values for \({s}_{2k}={{{\rm{tr}}}({S}_{2k}\rho )\). For ease of exposition we will consider only k = 1, 2, but one may generalize...
In this paper, we consider <italic>a priori</italic> and <italic>a posteriori</italic> error estimates of the <italic>H</italic>(curl2)-conforming finite element when solving the quad-curl eigenvalue problem. An <italic>a priori</italic> estim
Solving the Model The model parameters are estimated via ordinary least squares (OLS) regression analysis. This solution will provide us with the estimated parameters and regression statistics. Analysts will need to evaluate the model using the regressions goodness of fit R2, the t-stat showing the...
Second-order error analysis of a corrected average finite difference scheme for time-fractional Cable equations with nonsmooth solutions Mathematics and Computers in Simulation Volume 226, December 2024, Pages 631-644 Purchase options CorporateFor R&D professionals working in corporate organizations. Academic...