【摘要】 借助拉普拉斯变换,运用谱配置方法研究一类线性偏积分微分方程的半离散问题,这类问题出现在粘弹性模型中.它是一种基于Gauss-Lobatto求积节点的配置方法.我们得到了空间半离散解的稳定性和收敛性结果.更多还原

【Abstract】 The Laplace transform is introduced to analyze the method of spectral collocation, which is a collocation method at the Gauss-Lobatto quadrature points,for the semidiscretization of a class of linear partial integro-differential equations arising in viscoelasticity problems,for example.The stability and convergence of the space discretization are examined.更多还原