DOI: 10.1007/978-3-642-56103-0_6. New RBF Collocation Methods and Kernel RBF with Applications

New RBF Collocation Methods and Kernel RBF with Applications

10.1007/978-3-642-56103-0_6

Crossref book-chapter

Springer Berlin Heidelberg

Lecture Notes in Computational Science and Engineering (297)

Bibliography

Chen, W. (2003). New RBF Collocation Methods and Kernel RBF with Applications. Meshfree Methods for Partial Differential Equations, 75â86.

Authors 1

Wen Chen (first)

References 19 Referenced 29

Buhmann, M. D. (2000) Radial basis functions. Acta Numerica. 1–38. (10.1017/S0962492900000015)
Chen, W., Tanaka, M. (2000) New Insights into Boundary-only and Domaintype RBF Methods. Int. J. Nonlinear Sci. & Numer. Simulation. 1(2.3), 145–151. / Int. J. Nonlinear Sci. & Numer. Simulation by W Chen (2000)
Chen, W., Tanaka, M. (2000) Relationship between boundary integral equation and radial basis function. The 52th Symposium of JSCME on BEM (Tanaka, M. ed.), Tokyo.
Kansa, E. J. (1990) Multiquadrics: A scattered data approximation scheme with applications to computational fluid-dynamics, Comput. Math. Appl. 19, 147–161. (10.1016/0898-1221(90)90271-K) / Comput. Math. Appl by EJ Kansa (1990)
Fasshauer, G. E. (1996) Solving partial differential equations by collocation with radial basis functions. Proc. of Chamonix. (Mehaute, A., Rabut, C, Schu-maker, L. ed.), 1–8.
Wu, Z. (1998) Solving PDE with radial basis functions and the error estimation. Adv. Comput. Math. Lectures in Pure & Applied Mathematics, 202 (Chen, Z. Li, Y., Micchelli, C. A., Xu, Y., Dekkon M. ed.).
Golberg, M.A., Chen, C.S. (1998) The method of fundamental solutions for potential, Helmholtz and diffusion problems. Boundary Integral Methods – Numerical and Mathematical Aspects (Golberg M.A. ed.), 103–176, Comput. Mech. Publ. UK. / Boundary Integral Methods – Numerical and Mathematical Aspects by MA Golberg (1998)
Chen, W. (2001) Direct linearization method for nonlinear PDE’s and the related kernel RBFs. http://xxx.Ianl.gov/abs/math.NA/0110005. CoRR preprint.
Chen, W. (2001) Several new domain-type and boundary-type numerical discretization schemes with radial basis function. CoRR preprint, http://xxx.lanl.gov/abs/cs.CC/0104018/abs/cs.CC/0104018.
Chen, W. (2001) RBF-based meshless boundary knot method and boundary particle method. Proc. of China Congress on Computational Mechanics ’2001, Guangzhou, China.
Partridge, P. W., Brebbia, C. A., Wrobel, L. W. (1992) The Dual Reciprocity Boundary Element Method. Comput. Mech. Publ. UK. / The Dual Reciprocity Boundary Element Method by PW Partridge (1992)
Chen, W. (2001) Boundary knot method for Laplace and biharmonic problems, Proc. of the 14th Nordic Seminar on Comput. Mech. 117–120, Lund, Sweden.
Nowak, A. J., Neves, A. C. (ed.) (1994) The Multiple Reciprocity Boundary Element Method. Comput. Mech. Publ., U.K.. / The Multiple Reciprocity Boundary Element Method (1994)
Schaback, R., Hon, Y. C. (2001) On unsymmetric collocation by radial basis functions. J. Appl. Math. Comp. 119, 177–186. (10.1016/S0096-3003(99)00255-6) / J. Appl. Math. Comp by R Schaback (2001)
Fedoseyev, A.L., Friedman, M.J., Kansa, E.J. (2001) Improved multiquadratic method for elliptic partial differential equations via PDE collocation on the boundary. Comput. Math. Appl. (in press).
Zhang, X., Song, K.Z., Lu, M.W., Liu, X. (2000) Meshless methods based on collocation with radial basis functions. Comput. Mech.26, 333–343. (10.1007/s004660000181) / Comput. Mech by X Zhang (2000)
Westphal Jr. T., de Barchellos, C. S. (1996) On general fundamental solutions of some linear elliptic differential operators. Engng. Anal. Boundary Elements, 17, 279–285. (10.1016/S0955-7997(96)00028-8) / Engng. Anal. Boundary Elements by T. Westphal (1996)
Liu, W. K., Jun, S. (1998) Multiple-scale reproducing kernel particle methods for large deformation problems. Int. J. Numer. Methd. Engrg. 41, 1339–1362. (10.1002/(SICI)1097-0207(19980415)41:7<1339::AID-NME343>3.0.CO;2-9) / Int. J. Numer. Methd. Engrg by WK Liu (1998)
Chen, W. (20001) New RBF collocation schemes and their applications. Int. Workshop for Meshfree Methods for PDE’s, Bonn, Germany. CoRR preprint, http://xxx.lanl.gov/abs/math.NA/0111220.

Dates

Type	When
Created	14 years, 3 months ago (May 9, 2011, 12:02 a.m.)
Deposited	2 years, 6 months ago (Feb. 10, 2023, 11:18 p.m.)
Indexed	4 months, 4 weeks ago (March 25, 2025, 10:09 a.m.)
Issued	22 years, 7 months ago (Jan. 1, 2003)
Published	22 years, 7 months ago (Jan. 1, 2003)
Published Print	22 years, 7 months ago (Jan. 1, 2003)

Funders 0

None

BibTeX

@inbook{Chen_2003, title={New RBF Collocation Methods and Kernel RBF with Applications}, ISBN={9783642561030}, ISSN={1439-7358}, url={http://dx.doi.org/10.1007/978-3-642-56103-0_6}, DOI={10.1007/978-3-642-56103-0_6}, booktitle={Meshfree Methods for Partial Differential Equations}, publisher={Springer Berlin Heidelberg}, author={Chen, Wen}, year={2003}, pages={75–86} }

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