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Volumn 30, Issue 3, 2009, Pages 621-651

Results and questions on a nonlinear approximation approach for solving high-dimensional partial differential equations

Author keywords

Greedy algorithms; High dimensional partial differential equations; Singular value decomposition

Indexed keywords


EID: 70449574498     PISSN: 01764276     EISSN: 14320940     Source Type: Journal    
DOI: 10.1007/s00365-009-9071-1     Document Type: Article
Times cited : (71)

References (11)
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    • Ammar, A.1    Mokdad, B.2    Chinesta, F.3    Keunings, R.4
  • 2
    • 50649107089 scopus 로고    scopus 로고
    • Approximation and learning by greedy algorithms
    • Barron, A. R., Cohen, A., Dahmen, W., DeVore, R. A.: Approximation and learning by greedy algorithms. Ann. Stat. 36(1), 64-94 (2008).
    • (2008) Ann. Stat. , vol.36 , Issue.1 , pp. 64-94
    • Barron, A.R.1    Cohen, A.2    Dahmen, W.3    Devore, R.A.4
  • 5
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    • On a conjecture of Huber concerning the convergence of projection pursuit regression
    • Jones, L. K.: On a conjecture of Huber concerning the convergence of projection pursuit regression. Ann. Stat. 15(2), 880-882 (1987).
    • (1987) Ann. Stat. , vol.15 , Issue.2 , pp. 880-882
    • Jones, L.K.1
  • 6
    • 0242350084 scopus 로고    scopus 로고
    • Rate of convergence of pure greedy algorithm
    • Konyagin, S. V., Temlyakov, V. N.: Rate of convergence of pure greedy algorithm. East J. Approx. 5, 493-499 (1999).
    • (1999) East J. Approx. , vol.5 , pp. 493-499
    • Konyagin, S.V.1    Temlyakov, V.N.2
  • 7
    • 0242266071 scopus 로고    scopus 로고
    • Two lower estimates in greedy approximation
    • Livshitz, E. D., Temlyakov, V. N.: Two lower estimates in greedy approximation. Constr. Approx. 19, 509-524 (2003).
    • (2003) Constr. Approx. , vol.19 , pp. 509-524
    • Livshitz, E.D.1    Temlyakov, V.N.2
  • 8
    • 34548290926 scopus 로고    scopus 로고
    • A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations
    • Nouy, A.: A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations. Comput. Methods Appl. Mech. Eng. 196, 4521-4537 (2007).
    • (2007) Comput. Methods Appl. Mech. Eng. , vol.196 , pp. 4521-4537
    • Nouy, A.1
  • 9
    • 55549140120 scopus 로고    scopus 로고
    • Generalized spectral decomposition method for stochastic non linear problems
    • Nouy, A., Le Maître, O. P.: Generalized spectral decomposition method for stochastic non linear problems. J. Comput. Phys. 228, 202-235 (2009).
    • (2009) J. Comput. Phys. , vol.228 , pp. 202-235
    • Nouy, A.1    Le maître, O.P.2
  • 10
    • 58149380535 scopus 로고    scopus 로고
    • Greedy approximation
    • Temlyakov, V. N.: Greedy approximation. Acta Numer. 17, 235-409 (2008).
    • (2008) Acta Numer. , vol.17 , pp. 235-409
    • Temlyakov, V.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.