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Volumn 42, Issue 4-6, 1996, Pages 595-605

A proof of convergence for the combination technique for the Laplace equation using tools of symbolic computation

Author keywords

Combination technique; Elliptic partial differential equations; Order of discretization error; Sparse grids; Symbolic computation

Indexed keywords

BOUNDARY CONDITIONS; CODES (SYMBOLS); COMBINATORIAL MATHEMATICS; COMPUTATIONAL METHODS; LAPLACE TRANSFORMS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; THREE DIMENSIONAL;

EID: 0030290782     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4754(96)00036-5     Document Type: Article
Times cited : (8)

References (10)
  • 3
    • 0002621888 scopus 로고
    • The combination technique for the sparse grid solution of PDEs on multiprocessor machines
    • M. Griebel, The combination technique for the sparse grid solution of PDEs on multiprocessor machines, Parallel Processing Letters 2 (1) (1992) 61-70.
    • (1992) Parallel Processing Letters , vol.2 , Issue.1 , pp. 61-70
    • Griebel, M.1
  • 4
    • 0346927644 scopus 로고
    • A fast poisson solver for turbulence simulation on parallel computers using sparse grids
    • E. Hirschel, ed., Vieweg, Braunschweig
    • M. Griebel, W. Huber and C. Zenger, A fast poisson solver for turbulence simulation on parallel computers using sparse grids, in: E. Hirschel, ed., Notes on Numerical Fluid Mechanics, Vol. 38 (Vieweg, Braunschweig, 1993).
    • (1993) Notes on Numerical Fluid Mechanics , vol.38
    • Griebel, M.1    Huber, W.2    Zenger, C.3
  • 5
    • 0002524756 scopus 로고
    • A combination technique for the solution of sparse grid problem
    • P. de Groen and R. Beauwens, eds., Brussels, April Elsevier, Amsterdam
    • M. Griebel, M. Schneider and C. Zenger, A combination technique for the solution of sparse grid problem, in: P. de Groen and R. Beauwens, eds., Proc. IMACS Internat. Symp. on Iterative Methods in Linear Algebra (Brussels, April 1991) (Elsevier, Amsterdam, 1992).
    • (1991) Proc. IMACS Internat. Symp. on Iterative Methods in Linear Algebra
    • Griebel, M.1    Schneider, M.2    Zenger, C.3
  • 7
    • 0346927643 scopus 로고
    • Asymptotic expansions of the discretization error of boundary value problems in rectangular domains
    • P. Hofmann, Asymptotic expansions of the discretization error of boundary value problems in rectangular domains, Numer. Math. 9 (1967) 302-322.
    • (1967) Numer. Math. , vol.9 , pp. 302-322
    • Hofmann, P.1
  • 8
    • 0348188337 scopus 로고
    • On the degree of convergence of solutions of difference equations to the solution of the Dirichlet problem
    • J. Walsh and D. Young, On the degree of convergence of solutions of difference equations to the solution of the Dirichlet problem, J. Math and Phys. 33 (1954) 80-83.
    • (1954) J. Math and Phys. , vol.33 , pp. 80-83
    • Walsh, J.1    Young, D.2
  • 9
    • 0003254417 scopus 로고
    • Sparse grids
    • W. Hackbusch, ed., Parallel Algorithms for Partial Differential Equation, Proc. Sixth GAMM-Seminar (Kiel, January 1990), Vieweg, Braunschweig
    • C. Zenger, Sparse grids, in: W. Hackbusch, ed., Parallel Algorithms for Partial Differential Equation, Proc. Sixth GAMM-Seminar (Kiel, January 1990), Notes on Numerical Fluid Mechanics, Vol. 31 (Vieweg, Braunschweig, 1991).
    • (1991) Notes on Numerical Fluid Mechanics , vol.31
    • Zenger, C.1
  • 10
    • 0346297566 scopus 로고
    • Representation of functions of several variables by sparse grids
    • V. Ganzha, V. Rudenko and E. Vorozhtsov, eds., Nova, New York
    • C. Zenger, Representation of functions of several variables by sparse grids, in: V. Ganzha, V. Rudenko and E. Vorozhtsov, eds., Computer Algebra and its Applications to Mechanics (Nova, New York, 1992).
    • (1992) Computer Algebra and Its Applications to Mechanics
    • Zenger, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.