A Critical Evaluation of the Resolution Properties of B-Spline and Compact Finite Difference Methods

@article{citeulike:3043385, abstract = {Resolution properties of B-spline and compact finite difference schemes are compared using Fourier analysis in periodic domains, and tests based on solution of the wave and heat equations in finite domains, with uniform and nonuniform grids. Results show that compact finite difference schemes have a higher convergence rate and in some cases better resolution. However, B-spline schemes have a more straightforward and robust formulation, particularly near boundaries on nonuniform meshes.}, author = {Kwok, Wai Y. and Moser, Robert D. and Jim\'{e}nez, Javier}, citeulike-article-id = {3043385}, doi = {10.1006/jcph.2001.6919}, journal = {Journal of Computational Physics}, month = {December}, number = {2}, pages = {510--551}, posted-at = {2008-07-25 19:14:03}, priority = {3}, title = {A Critical Evaluation of the Resolution Properties of B-Spline and Compact Finite Difference Methods}, url = {http://dx.doi.org/10.1006/jcph.2001.6919}, volume = {174}, year = {2001} }

TY - JOUR ID - citeulike:3043385 L3 - citeulike-article-id:3043385 N2 - Resolution properties of B-spline and compact finite difference schemes are compared using Fourier analysis in periodic domains, and tests based on solution of the wave and heat equations in finite domains, with uniform and nonuniform grids. Results show that compact finite difference schemes have a higher convergence rate and in some cases better resolution. However, B-spline schemes have a more straightforward and robust formulation, particularly near boundaries on nonuniform meshes. IS - 2 JF - Journal of Computational Physics EP - 551 TI - A Critical Evaluation of the Resolution Properties of B-Spline and Compact Finite Difference Methods VL - 174 SP - 510 AU - Kwok, Wai AU - Moser, Robert AU - Jiménez, Javier PY - 2001/12/10/ UR - http://dx.doi.org/10.1006/jcph.2001.6919 ER -