다음과 같은 기능을 한번의 로그인으로 사용 할 수 있습니다.
NTIS 바로가기
Journal of applied mathematics (JAM), v.2022, 2022년, pp.1 - 8
Essanhaji, A. (Laboratory of Mathematics, Computing and Applications-Information Security (LabMiA-SI), Mohammed V University in Rabat, Centre Ré) , Errachid, M. (gional des Mé) , Abbasbandy, Saeid (tiers de l’Enseignement et de la Formation (CRMEF) de Rabat, 1 Avenue Allal Alfassi, Madinat Al Irfane, B.P. 6210, 10 000 Rabat, Morocco)
AI-Helper
The problems of polynomial interpolation with several variables present more difficulties than those of one-dimensional interpolation. The first problem is to study the regularity of the interpolation schemes. In fact, it is well-known that, in contrast to the univariate case, there is no universal ...
Carnicer, J., Sauer, T.. Leibniz rules for multivariate divided differences. Journal of approximation theory, vol.181, 43-53.
Gasca, Mariano, Sauer, Thomas. On the history of multivariate polynomial interpolation. Journal of computational and applied mathematics, vol.122, no.1, 23-35.
Sauer, Thomas. Polynomial interpolation of minimal degree. Numerische Mathematik, vol.78, no.1, 59-85.
Computing methods I. S. Berezin 1959
Errachid, M., Essanhaji, A., Messaoudi, A.. RMVPIA: a new algorithm for computing the Lagrange multivariate polynomial interpolation. Numerical algorithms, vol.84, no.4, 1507-1534.
Analysis of Numerical Methods E. Isaacson 1966
Neidinger, Richard D.. Multivariate Polynomial Interpolation in Newton Forms. SIAM review, vol.61, no.2, 361-381.
Sauer, Thomas. Lagrange interpolation on subgrids of tensor product grids. Mathematics of computation, vol.73, no.245, 181-190.
Czekansky, Johannes, Sauer, Tomas. The multivariate Horner scheme revisited. BIT. Numerical mathematics, vol.55, no.4, 1043-1056.
Numerical Algorithms Journal M. Errachid 80 253 2019 10.1007/s11075-018-0543-x GRPIA: a new algorithm for computing interpolation polynomials
Macleod, A.J.. A comparison of algorithms for polynomial interpolation. Journal of computational and applied mathematics, vol.8, no.4, 275-277.
Peña, J. M., Sauer, Thomas. On the Multivariate Horner Scheme. SIAM journal on numerical analysis : a publication of the Society of Industrial and Applied Mathematics, vol.37, no.4, 1186-1197.
Sauer, Thomas. Computational aspects of multivariate polynomial interpolation. Advances in computational mathematics, vol.3, no.3, 219-237.
Approximation Theory Wavelets and Applications, Maratea, (1994), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 454 T. Sauer 443 1995 A case study in multivariate Lagrange interpolation
Werner, H.. Remarks on Newton type multivariate interpolation for subsets of grids. Computing, vol.25, no.2, 181-191.
10.2307/2153210
Dyn, N., Floater, M.S.. Multivariate polynomial interpolation on lower sets. Journal of approximation theory, vol.177, 34-42.
Gasca, Mariano; Sauer, Thomas etc. "Polynomial interpolation in several variables." Advances in computational mathematics, v.12 no.4 (2000), pp. 377-410, doi:10.1023/A:1018981505752.
Dell’Accio, Francesco, Di Tommaso, Filomena, Siar, Najoua. On the numerical computation of bivariate Lagrange polynomials. Applied mathematics letters, vol.112, 106845-.
Dell'Accio, Francesco, Di Tommaso, Filomena, Nouisser, Otheman, Siar, Najoua. Solving Poisson equation with Dirichlet conditions through multinode Shepard operators. Computers & mathematics with applications, vol.98, 254-260.
Dell’Accio, Francesco, Di Tommaso, Filomena, Siar, Najoua, Vianello, Marco. Numerical differentiation on scattered data through multivariate polynomial interpolation. BIT. Numerical mathematics, vol.62, no.3, 773-801.
Bulletin of the Greek Mathematical Society G. C. Meletiou 48 61 2003 Cryptography through interpolation, approximation and computational intelligence methods
*원문 PDF 파일 및 링크정보가 존재하지 않을 경우 KISTI DDS 시스템에서 제공하는 원문복사서비스를 사용할 수 있습니다.
오픈액세스 학술지에 출판된 논문
Copyright KISTI. All Rights Reserved.
※ AI-Helper는 부적절한 답변을 할 수 있습니다.