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Volumn 65, Issue 4, 2000, Pages 357-378

Application of an Adaptive Sparse-Grid Technique to a Model Singular Perturbation Problem

(2)  Noordmans, J b   Hemker, P W a  

b NONE

Author keywords

Adaptive sparse grids; Combination technique; Singular perturbation problem

Indexed keywords


EID: 0042229479     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s006070070005     Document Type: Article
Times cited : (15)

References (13)
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  • 3
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    • Using coordination to parallelize sparse-grid methods for 3D CFD problems
    • Everaars, C. T. H., Koren, B.: Using coordination to parallelize sparse-grid methods for 3D CFD problems. Parallel Comput. 24, 1081-1106 (1998).
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    • Everaars, C.T.H.1    Koren, B.2
  • 4
    • 0003255836 scopus 로고
    • A parallelizable and vectorizable multi-level algorithm on sparse grids
    • Parallel algorithms for partial differential equations. Wiesbaden: Vieweg
    • Griebel, M.: A parallelizable and vectorizable multi-level algorithm on sparse grids. In: Parallel algorithms for partial differential equations. Notes Numer. Fluid Mech. 31, pp. 94-100. Wiesbaden: Vieweg, 1991.
    • (1991) Notes Numer. Fluid Mech. , vol.31 , pp. 94-100
    • Griebel, M.1
  • 5
    • 0002621888 scopus 로고
    • The combination technique for the sparse grid solution of PDEs on multiprocessor machines
    • Griebel, M.: The combination technique for the sparse grid solution of PDEs on multiprocessor machines. Parallel Proc. Lett. 2, 61-70 (1992).
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    • Griebel, M.1
  • 6
    • 0032314774 scopus 로고    scopus 로고
    • Adaptive sparse grid multilevel methods for elliptic PDEs based on finite differences
    • Griebel, M.: Adaptive sparse grid multilevel methods for elliptic PDEs based on finite differences. Computing 61, 151-180 (2000).
    • (2000) Computing , vol.61 , pp. 151-180
    • Griebel, M.1
  • 7
    • 84989840277 scopus 로고
    • The combination technique for parallel sparse-grid-preconditioning and -solution of PDEs on multiprocessor machines and workstation networks
    • Parallel processing (Bouge. L., Cosnard, M., Robert, Y., Trystram, D., eds.), Berlin Heidelberg New York Tokyo: Springer
    • Griebel, M., Huber, W., Rüde, U., Störtkuhl, T.: The combination technique for parallel sparse-grid-preconditioning and -solution of PDEs on multiprocessor machines and workstation networks. In: Parallel processing (Bouge. L., Cosnard, M., Robert, Y., Trystram, D., eds.), pp. 217-228. Lecture Notes in Computer Science 634. Berlin Heidelberg New York Tokyo: Springer, 1992.
    • (1992) Lecture Notes in Computer Science , vol.634 , pp. 217-228
    • Griebel, M.1    Huber, W.2    Rüde, U.3    Störtkuhl, T.4
  • 8
    • 0000962738 scopus 로고
    • On the parallel solution of 3D PDEs on a network of workstations and on vector computers
    • Griebel, M., Huber, W., Störkuhl, T., Zenger, C.: On the parallel solution of 3D PDEs on a network of workstations and on vector computers. Lecture Notes in Computer Science. 732, 276-291 (1993).
    • (1993) Lecture Notes in Computer Science , vol.732 , pp. 276-291
    • Griebel, M.1    Huber, W.2    Störkuhl, T.3    Zenger, C.4
  • 9
    • 0030419987 scopus 로고    scopus 로고
    • A singularly perturbed model problem for numerical computation
    • Hemker, P. W.: A singularly perturbed model problem for numerical computation. J. Comp. Appl. Math. 76, 277-285 (1997).
    • (1997) J. Comp. Appl. Math. , vol.76 , pp. 277-285
    • Hemker, P.W.1
  • 10
    • 0031258132 scopus 로고    scopus 로고
    • Approximation on partially ordered sets of regular grids
    • Hemker, P. W., Pflaum, C.: Approximation on partially ordered sets of regular grids. Appl. Numer. Math. Trans. IMACS 25, 55-87 (1997).
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    • Hemker, P.W.1    Pflaum, C.2
  • 11
    • 0040576917 scopus 로고
    • Gauß adaptive relaxation for the multilevel solution of partial differential equations on sparse grids
    • Pflaum, C., Rüde, U.: Gauß adaptive relaxation for the multilevel solution of partial differential equations on sparse grids. J. Comput. Inf. 4, 55-71 (1993).
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    • Pflaum, C.1    Rüde, U.2
  • 13
    • 0003254417 scopus 로고
    • Sparse grids
    • Parallel algorithms for partial differential equations (Hackbusch, W., ed.), Braunschweig: Vieweg
    • Zenger, C.: Sparse grids. In: Parallel algorithms for partial differential equations (Hackbusch, W., ed.), pp. 297-301. Notes on Numerical Fluid Mechanics 31. Braunschweig: Vieweg, 1991.
    • (1991) Notes on Numerical Fluid Mechanics , vol.31 , pp. 297-301
    • Zenger, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.