000010746 001__ 10746
000010746 005__ 20141205155759.0
000010746 04107 $$aeng
000010746 046__ $$k2008-10-12
000010746 100__ $$aLiu, Heng
000010746 24500 $$aAn Explicit Method for Numerical Simulation of Wave Equations

000010746 24630 $$n14.$$pProceedings of the 14th World Conference on Earthquake Engineering
000010746 260__ $$b
000010746 506__ $$arestricted
000010746 520__ $$2eng$$aA method to develop a hierarchy of explicit recursion formulas for numerical simulation in irregular grids for scalar wave equations is presented and then is used to construct the formulas for the one-dimensional case in this paper. Numerical simulation of the one-dimensional scalar wave equation in a regular grid is discussed for understanding its accuracy and stability, and an approach is then proposed to construct the stable formulas which are of 2M-order of accuracy both in time and space with M being a positive integer and the recursion formulas of the second order (M=1) and the fourth order (M=2) are given as an example. Theoretical results of the method are demonstrated by a series of numerical tests.

000010746 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000010746 653__ $$awave equation, numerical simulation, explicit recursion formula, finite element method (FEM)

000010746 7112_ $$a14th World Conference on Earthquake Engineering$$cBejing (CN)$$d2008-10-12 / 2008-10-17$$gWCEE15
000010746 720__ $$aLiu, Heng$$iLiao, Zhenpeng
000010746 8560_ $$ffischerc@itam.cas.cz
000010746 8564_ $$s553688$$uhttps://invenio.itam.cas.cz/record/10746/files/14-0220.pdf$$yOriginal version of the author's contribution as presented on CD, Paper ID: 14-0220.
000010746 962__ $$r9324
000010746 980__ $$aPAPER