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, ...
A new Bernoulli matrix method for solving second order linear partial differential equations with the convergence analysis In this paper, a new matrix approach for solving second order linear partial differential equations (PDEs) under given initial conditions has been proposed... F Toutounian,E Tohi...
摘要: In this paper, the classic Galergin method for solving integral equations of the second kind is extended to fuzzy Galerkin method. Moreover, the error analysis, particularly, error estimate, stability and convergence of the extended method are studied....
A variety of methods have been proposed for solving the equations representing linear structural systems with viscous damping. Here we concentrate on methods of modal analysis wherein the system is modeled by a simpler one described in terms of its "dominant" modes. This simpler system can be so...
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 ...
An error estimate is presented for a fully discrete, linearized and stabilized finite element method for solving the coupled system of nonlinear hyperbolic and parabolic equations describing incompressible flow with variable density in a two-dimensional
downdatingCholesky factorizationpositive definite matrixnumerical propertiescomputational complexityvector computers/ C4110 Error analysis in numerical methods C4240 ... AW Bojanczyk,RP Brent,P Van Dooren,... - 《Siam Journal on Scientific & Statistical Computing》 被引量: 160发表: 1987年 Solving the...
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 (Liu an...
AJ Kassab,FA Moslehy,AB Daryapurkar - 《Engineering Analysis with Boundary Elements》 被引量: 40发表: 1994年 Infinite boundary elements for dynamic problems of 3-D half space In this paper, a new procedure for solving 3-D dynamic problems of unbounded foundations in the frequency domain by ...
An iterative solution method for solving f ( A ) x = b , using Krylov subspace information obtained for the symmetric positive definite matrix A The conjugate gradients method generates successive approximations x i for the solution of the linear system Ax = b, where A is symmetric positive de...