Direct Discontinuous Galerkin Method with Interface Correction for the Keller-Segel Chemotaxis Model
Author:
Funder
National Science Foundation
Simons Foundation
National Natural Science Foundation of China
Natural Science Foundation of Ningbo Municipality
Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s10915-024-02648-5.pdf
Reference39 articles.
1. Arumugam, G., Tyagi, J.: Keller-Segel chemotaxis models: a review. Acta Appl. Math. 171(6), 82 (2021)
2. Budd, C.J., Carretero-González, R., Russell, R.D.: Precise computations of chemotactic collapse using moving mesh methods. J. Comput. Phys. 202(2), 463–487 (2005)
3. Cao, W., Liu, H., Zhang, Z.: Superconvergence of the direct discontinuous Galerkin method for convection-diffusion equations. Numer. Methods Part. Diff. Equ. 33(1), 290–317 (2017)
4. Chertock, A., Epshteyn, Y., Hu, H., Kurganov, A.: High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems. Adv. Comput. Math. 44(1), 327–350 (2018)
5. Chertock, A., Kurganov, A.: A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models. Numer. Math. 111(2), 169–205 (2008)
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