메뉴 건너뛰기




Volumn 80, Issue , 2011, Pages 313-342

Voronoi Tessellations and Their Application to Climate and Global Modeling

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; MESH GENERATION;

EID: 80052246365     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-11640-7_10     Document Type: Chapter
Times cited : (76)

References (78)
  • 2
    • 33744482805 scopus 로고
    • Computational design for long-term numerical integration of the equations of fluid motion: Two-dimensional incompressible flow
    • Arakawa A (1966) Computational design for long-term numerical integration of the equations of fluid motion: Two-dimensional incompressible flow. J Comput Phys 1:119-143
    • (1966) J Comput Phys , vol.1 , pp. 119-143
    • Arakawa, A.1
  • 3
    • 0000094119 scopus 로고
    • Compuational design of the basic dynamical processes in the ucla general circulation model
    • Arakawa A, Lamb V (1977) Compuational design of the basic dynamical processes in the UCLA general circulation model. J Comput Phys 17:173-265
    • (1977) J Comput Phys , vol.17 , pp. 173-265
    • Arakawa, A.1    Lamb, V.2
  • 4
    • 0019704843 scopus 로고
    • A potential enstrophy and energy conserving scheme for the shallow water equations
    • Arakawa A, Lamb V (1981) A potential enstrophy and energy conserving scheme for the shallow water equations. Mon Wea Rev 109:18-36
    • (1981) Mon Wea Rev , vol.109 , pp. 18-36
    • Arakawa, A.1    Lamb, V.2
  • 5
    • 0001253481 scopus 로고
    • A lagrangian method for the shallow water equations based on a voronoi mesh - one dimensional results
    • Augenbaum J (1984) A lagrangian method for the shallow water equations based on a voronoi mesh - one dimensional results. J Comput Phys 53:240-265
    • (1984) J Comput Phys , vol.53 , pp. 240-265
    • Augenbaum, J.1
  • 6
    • 0001137716 scopus 로고
    • On the construction of the voronoi mesh on the sphere
    • Augenbaum J, Peskin C (1985) On the construction of the Voronoi mesh on the sphere. J Comput Phys 59:177-192
    • (1985) J Comput Phys , vol.59 , pp. 177-192
    • Augenbaum, J.1    Peskin, C.2
  • 7
    • 0002950703 scopus 로고
    • The optimal lattice quantizer in three dimensions
    • Barnes E, Sloane N (1983) The optimal lattice quantizer in three dimensions. SIAM J Algeb Disc Meth 4:31-40
    • (1983) SIAM J Algeb Disc Meth , vol.4 , pp. 31-40
    • Barnes, E.1    Sloane, N.2
  • 8
    • 84976672179 scopus 로고
    • Optimal expected-time algorithms for cloest point problems
    • Bentley J, Weide B, Yao A (1980) Optimal expected-time algorithms for cloest point problems. ACM Trans Math Soft 6:563-580
    • (1980) ACM Trans Math Soft , vol.6 , pp. 563-580
    • Bentley, J.1    Weide, B.2    Yao, A.3
  • 9
    • 24944582018 scopus 로고    scopus 로고
    • Provably good sampling and meshing of surfaces
    • Boissonnat J, Oudot S (2005) Provably good sampling and meshing of surfaces. Graph Models 67:405-451
    • (2005) Graph Models , vol.67 , pp. 405-451
    • Boissonnat, J.1    Oudot, S.2
  • 10
    • 33646863391 scopus 로고
    • Mesh duality and legendre duality
    • Chynoweth S, Sewell M (1990) Mesh duality and Legendre duality. Proc R Soc London A 428:351-377
    • (1990) Proc R Soc London A , vol.428 , pp. 351-377
    • Chynoweth, S.1    Sewell, M.2
  • 11
    • 0032046585 scopus 로고    scopus 로고
    • Dewall: A fast divide and conquer delaunay triangulation algorithm in ed
    • Cignoni P, Montani C, Scopigno R (1998) Dewall: A fast divide and conquer delaunay triangulation algorithm in ed. Computer-Aided Design 30:333-341
    • (1998) Computer-Aided Design , vol.30 , pp. 333-341
    • Cignoni, P.1    Montani, C.2    Scopigno, R.3
  • 12
    • 84968470212 scopus 로고
    • An algorithm for the machine calculation of complex fourier series
    • Cooley J, Tukey J (1965) An algorithm for the machine calculation of complex Fourier series. Math Comp 19:197-301
    • (1965) Math Comp , vol.19 , pp. 197-301
    • Cooley, J.1    Tukey, J.2
  • 13
    • 85028866433 scopus 로고
    • In: Proceedings of the International Mathematical Congress
    • Delaunay B (1928) Sur la sphère vide. In: Proceedings of the International Mathematical Congress, pp 695-700
    • (1928) Sur La sphère Vide , pp. 695-700
    • Delaunay, B.1
  • 15
    • 84941433641 scopus 로고
    • Uber die reduktion der positiven quadratischen formen mit drei unbestimmten ganzen zahlen
    • Dirichlet G (1850) Uber die Reduktion der positiven quadratischen Formen mit drei unbestimmten ganzen Zahlen. J Reine Angew Math 40:209-227
    • (1850) J Reine Angew Math , vol.40 , pp. 209-227
    • Dirichlet, G.1
  • 16
    • 33645360260 scopus 로고    scopus 로고
    • Acceleration schemes for computing the centroidal voronoi tessellations
    • Du Q, Emelianenko M (2006) Acceleration schemes for computing the centroidal Voronoi tessellations. Numer Linear Alg Appl 13:173-192
    • (2006) Numer Linear Alg Appl , vol.13 , pp. 173-192
    • Du, Q.1    Emelianenko, M.2
  • 17
    • 55349146301 scopus 로고    scopus 로고
    • Uniform convergence of a nonlinear energy-based multilevel quantization scheme via centroidal voronoi tessellations
    • Du Q, Emelianenko M (2008) Uniform convergence of a nonlinear energy-based multilevel quantization scheme via centroidal Voronoi tessellations. SIAM J Numer Anal 46:1483-1502
    • (2008) SIAM J Numer Anal , vol.46 , pp. 1483-1502
    • Du, Q.1    Emelianenko, M.2
  • 18
    • 33747197702 scopus 로고    scopus 로고
    • Finite volume methods on spheres and spherical centroidal voronoi meshes
    • Du Q, Ju L (2005) Finite volume methods on spheres and spherical centroidal Voronoi meshes. SIAM J Numer Anal 43:1673-1692
    • (2005) SIAM J Numer Anal , vol.43 , pp. 1673-1692
    • Du, Q.1    Ju, L.2
  • 19
    • 0037423969 scopus 로고    scopus 로고
    • Tetrahedral mesh generation and optimization based on centroidal voronoi tessellations
    • Du Q, Wang D (2003) Tetrahedral mesh generation and optimization based on centroidal Voronoi tessellations. Int J Numer Methods Engrg 56:1355-1373
    • (2003) Int J Numer Methods Engrg , vol.56 , pp. 1355-1373
    • Du, Q.1    Wang, D.2
  • 20
    • 23344441232 scopus 로고    scopus 로고
    • On the optimal centroidal voronoi tessellations and gersho’s conjecture in the three dimensional space
    • Du Q, Wang D (2005) On the optimal centroidal Voronoi tessellations and Gersho’s conjecture in the three dimensional space. Comput Math Appl 49:1355-1373
    • (2005) Comput Math Appl , vol.49 , pp. 1355-1373
    • Du, Q.1    Wang, D.2
  • 21
    • 0033317391 scopus 로고    scopus 로고
    • Centroidal voronoi tessellations: Applications and algorithms
    • Du Q, Faber V, Gunzburger M (1999) Centroidal Voronoi tessellations: Applications and algorithms. SIAM Review 41:637-676
    • (1999) SIAM Review , vol.41 , pp. 637-676
    • Du, Q.1    Faber, V.2    Gunzburger, M.3
  • 22
    • 0042100528 scopus 로고    scopus 로고
    • Constrained centroidal voronoi tessellations for surfaces
    • Du Q, Gunzburger M, Ju L (2003a) Constrained centroidal Voronoi tessellations for surfaces. SIAM J Sci Comput 24:1488-1506
    • (2003) SIAM J Sci Comput , vol.24 , pp. 1488-1506
    • Du, Q.1    Gunzburger, M.2    Ju, L.3
  • 23
    • 0042424790 scopus 로고    scopus 로고
    • Voronoi-based finite volume methods, optimal voronoi meshes and pdes on the sphere
    • Du Q, Gunzburger M, Ju L (2003b) Voronoi-based finite volume methods, optimal Voronoi meshes and PDEs on the sphere. Comput Meth Appl Mech Engrg 192:3933-3957
    • (2003) Comput Meth Appl Mech Engrg , vol.192 , pp. 3933-3957
    • Du, Q.1    Gunzburger, M.2    Ju, L.3
  • 24
    • 33847681941 scopus 로고    scopus 로고
    • Convergence of the lloyd algorithm for computing centroidal voronoi tessellations
    • Du Q, Emelianenko M, Ju L (2006) Convergence of the lloyd algorithm for computing centroidal Voronoi tessellations. SIAM J Numer Anal 44:102-119
    • (2006) SIAM J Numer Anal , vol.44 , pp. 102-119
    • Du, Q.1    Emelianenko, M.2    Ju, L.3
  • 25
    • 0000670028 scopus 로고    scopus 로고
    • Incremental topological flipping works for regular triangulations
    • Edelsbrunner H, Shah N (1996) Incremental topological flipping works for regular triangulations. Algorithmica 15:223-241
    • (1996) Algorithmica , vol.15 , pp. 223-241
    • Edelsbrunner, H.1    Shah, N.2
  • 26
    • 55349141820 scopus 로고    scopus 로고
    • Nondegeneracy and weak global convergence of the lloyd algorithm in
    • Emelianenko M, Ju L, Rand A (2008) Nondegeneracy and weak global convergence of the Lloyd algorithm in. SIAM J Numer Anal 46:1423-1441
    • (2008) SIAM J Numer Anal , vol.46 , pp. 1423-1441
    • Emelianenko, M.1    Ju, L.2    Rand, A.3
  • 27
    • 0034135277 scopus 로고    scopus 로고
    • Quantitative measures for initial meshes
    • Field D (2000) Quantitative measures for initial meshes. Int J Numer Meth Engrg 47:887-906
    • (2000) Int J Numer Meth Engrg , vol.47 , pp. 887-906
    • Field, D.1
  • 28
  • 29
    • 0031277193 scopus 로고    scopus 로고
    • Tetrahedral mesh improvement using swapping and smoothing
    • Freitag L, Ollivier-Gooch C (1997) Tetrahedral mesh improvement using swapping and smoothing. Int J Numer Methods Engrg 40:3979-4002
    • (1997) Int J Numer Methods Engrg , vol.40 , pp. 3979-4002
    • Freitag, L.1    Ollivier-Gooch, C.2
  • 30
    • 0018491303 scopus 로고
    • Asymptotically optimal block quantization
    • Gersho A (1979) Asymptotically optimal block quantization. IEEE Trans Inform Theory 25:373380
    • (1979) IEEE Trans Inform Theory , pp. 25
    • Gersho, A.1
  • 32
    • 84942026338 scopus 로고
    • Primitives for the manipulation of general subdivisions and the computation of voronoi diagrams
    • Guibas L, Stolfi J (1985) Primitives for the manipulation of general subdivisions and the computation of Voronoi diagrams. ACM Trans Graphics 4:74-123
    • (1985) ACM Trans Graphics , vol.4 , pp. 74-123
    • Guibas, L.1    Stolfi, J.2
  • 34
    • 0000631097 scopus 로고
    • Numerical integration of the shallow-water equations on a twisted icosahedral grid. Part i: Basic design and results of tests
    • Heikes R, Randall D (1995a) Numerical integration of the shallow-water equations on a twisted icosahedral grid. Part i: basic design and results of tests. Mon Wea Rev 123:1862-1880
    • (1995) Mon Wea Rev , vol.123 , pp. 1862-1880
    • Heikes, R.1    Randall, D.2
  • 35
    • 0000631097 scopus 로고
    • Numerical integration of the shallow-water equations on a twisted icosahedral grid. Part ii. A detailed description of the grid and an analysis of numerical accuracy
    • Heikes R, Randall D (1995b) Numerical integration of the shallow-water equations on a twisted icosahedral grid. Part ii. a detailed description of the grid and an analysis of numerical accuracy. Mon Wea Rev 123:1881-1887
    • (1995) Mon Wea Rev , vol.123 , pp. 1881-1887
    • Heikes, R.1    Randall, D.2
  • 36
    • 39549119675 scopus 로고    scopus 로고
    • Conforming centroidal voronoi delaunay triangulation for quality mesh generation
    • Ju L (2007) Conforming centroidal Voronoi Delaunay triangulation for quality mesh generation. Inter J Numer Anal Model 4:531-547
    • (2007) Inter J Numer Anal Model , vol.4 , pp. 531-547
    • Ju, L.1
  • 37
    • 0036787154 scopus 로고    scopus 로고
    • Probabilistic methods for centroidal voronoi tessellations and their parallel implementations
    • Ju L, Du Q, Gunzburger M (2002a) Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations. Para Comput 28:1477-1500
    • (2002) Para Comput , vol.28 , pp. 1477-1500
    • Ju, L.1    Du, Q.2    Gunzburger, M.3
  • 38
    • 36348997658 scopus 로고    scopus 로고
    • Adaptive finite element methods for elliptic pdes based on conforming centroidal voronoi-delaunay triangulations
    • Ju L, Gunzburger M, Zhao W (2002b) Adaptive finite element methods for elliptic PDEs based on conforming centroidal Voronoi-Delaunay triangulations. SIAM J Sci Comput 28:2023-2053
    • (2002) SIAM J Sci Comput , vol.28 , pp. 2023-2053
    • Ju, L.1    Gunzburger, M.2    Zhao, W.3
  • 40
    • 0032131147 scopus 로고    scopus 로고
    • A fast and high quality multilevel scheme for partitioning irregular graphs
    • Karypis G, Kumar V (1998) A fast and high quality multilevel scheme for partitioning irregular graphs. SIAM J Sci Comput 20:359-392
    • (1998) SIAM J Sci Comput , vol.20 , pp. 359-392
    • Karypis, G.1    Kumar, V.2
  • 41
    • 0039793236 scopus 로고
    • Ncar global general circulation model of the atmosphere
    • Kasahara A, Washington W (1967) NCAR global general circulation model of the atmosphere. Mon Wea Rev 95:389-402
    • (1967) Mon Wea Rev , vol.95 , pp. 389-402
    • Kasahara, A.1    Washington, W.2
  • 43
    • 0000029675 scopus 로고
    • Two algorithms for constructing a delaunay triangulation
    • Lee D, Schachter B (1980) Two algorithms for constructing a Delaunay triangulation. Int J Inform Sci 9:219-242
    • (1980) Int J Inform Sci , vol.9 , pp. 219-242
    • Lee, D.1    Schachter, B.2
  • 44
    • 24944497550 scopus 로고    scopus 로고
    • An incremental remapping transport scheme on a spherical geodesic grid
    • Lipscomb W, Ringler T (2005) An incremental remapping transport scheme on a spherical geodesic grid. Mon Wea Rev 133:2335-2350
    • (2005) Mon Wea Rev , vol.133 , pp. 2335-2350
    • Lipscomb, W.1    Ringler, T.2
  • 45
    • 70049086698 scopus 로고    scopus 로고
    • On centroidal voronoi tessellation - energy smoothness and fast computation
    • Liu Y, Wang W, Levy B, Sung F, Yan DM (2009) On centroidal Voronoi tessellation - Energy smoothness and fast computation. ACM Trans Graphics 28:1-17
    • (2009) ACM Trans Graphics , vol.28 , pp. 1-17
    • Liu, Y.1    Wang, W.2    Levy, B.3    Sung, F.4    Yan, D.M.5
  • 46
    • 0020102027 scopus 로고
    • Least squares quantization in pcm
    • Lloyd S (1982) Least squares quantization in PCM. IEEE Trans Inform Theory 28:129-137
    • (1982) IEEE Trans Inform Theory , vol.28 , pp. 129-137
    • Lloyd, S.1
  • 47
    • 0001457509 scopus 로고
    • Some methods for classification and analysis of multivariate observations
    • Ed. By L. LeCam and J. Neyman
    • MacQueen J (1967) Some methods for classification and analysis of multivariate observations. In: Proceedings of the Fifth Berkeley Symp. Math. Stat. and Prob., Ed. By L. LeCam and J. Neyman, vol I, pp 181-197
    • (1967) Proceedings of the Fifth Berkeley Symp. Math. Stat. And Prob , vol.1 , pp. 181-197
    • Mac Queen, J.1
  • 48
    • 0001313203 scopus 로고
    • An integration scheme of the primitive equations model with an icosahedral-hexagonal grid system and its application to the shallow water equations
    • Ed. By T. Matsuno, Universal Academy Press
    • Masuda Y, Ohnishi H (1986) An integration scheme of the primitive equations model with an icosahedral-hexagonal grid system and its application to the shallow water equations. In: Short-and Medium-Range Numerical Weather Prediction, Ed. By T. Matsuno, Universal Academy Press, pp 317-326
    • (1986) Short-And Medium-Range Numerical Weather Prediction , pp. 317-326
    • Masuda, Y.1    Ohnishi, H.2
  • 49
    • 0018468345 scopus 로고
    • A comparison of three methods for selecting values of input variables in the analysis of output from a computer code
    • McKay M, Beckman WCR (1979) A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 21:239-245
    • (1979) Technometrics , vol.21 , pp. 239-245
    • Mc Kay, M.1    Beckman, W.2
  • 50
  • 52
    • 0003330113 scopus 로고
    • Random number generation and quasi-monte carlo methods
    • Philadelphia
    • Niederreiter H (1992) Random Number Generation and Quasi-Monte Carlo Methods. SIAM, Philadelphia
    • (1992) SIAM
    • Niederreiter, H.1
  • 54
    • 0001446431 scopus 로고
    • Geostrophic adjustment and the finite-difference shallow water equations
    • Randall D (1994) Geostrophic adjustment and the finite-difference shallow water equations. Mon Wea Rev 122:1371-1377
    • (1994) Mon Wea Rev , vol.122 , pp. 1371-1377
    • Randall, D.1
  • 55
    • 0031221068 scopus 로고    scopus 로고
    • Algorithm 772. Stripack: Delaunay triangulation and voronoi diagrams on the surface of a sphere
    • Renka R (1997) Algorithm 772. STRIPACK: Delaunay triangulation and Voronoi diagrams on the surface of a sphere. ACM Trans Math Soft 23:416-434
    • (1997) ACM Trans Math Soft , vol.23 , pp. 416-434
    • Renka, R.1
  • 56
    • 0036566625 scopus 로고    scopus 로고
    • A potential enstrophy and energy conserving numerical scheme for solution of the shallow-water equations on a geodesic grid
    • Ringler T, Randall D (2002) A potential enstrophy and energy conserving numerical scheme for solution of the shallow-water equations on a geodesic grid. Mon Wea Rev 130:1397-1410
    • (2002) Mon Wea Rev , vol.130 , pp. 1397-1410
    • Ringler, T.1    Randall, D.2
  • 57
    • 0033832359 scopus 로고    scopus 로고
    • Modeling the atmospheric general circulation using a spherical geodesic grid: A new class of dynamical cores
    • Ringler T, Heikes R, Randall D (2000) Modeling the atmospheric general circulation using a spherical geodesic grid: A new class of dynamical cores. Mon Wea Rev 128:2471-2490
    • (2000) Mon Wea Rev , vol.128 , pp. 2471-2490
    • Ringler, T.1    Heikes, R.2    Randall, D.3
  • 58
    • 57849126275 scopus 로고    scopus 로고
    • A multi-resolution method for climate system modeling
    • Ringler T, Ju L, Gunzburger M (2008) A multi-resolution method for climate system modeling. Ocean Dynamics 58:475-498
    • (2008) Ocean Dynamics , vol.58 , pp. 475-498
    • Ringler, T.1    Ju, L.2    Gunzburger, M.3
  • 59
    • 77949326654 scopus 로고    scopus 로고
    • A unified approach to energy conservation and potential vorticity dynamics on arbitrarily structured c-grids
    • Ringler T, Thubum J, Klemp J, Skamarock W (2010) A unified approach to energy conservation and potential vorticity dynamics on arbitrarily structured c-grids. J Comput Phys 229:3065-3090
    • (2010) J Comput Phys , vol.229 , pp. 3065-3090
    • Ringler, T.1    Thubum, J.2    Klemp, J.3    Skamarock, W.4
  • 60
    • 0004279601 scopus 로고
    • Cambridge University Press, Cambridge Ross S (1998) A First Course in Probability. Prentice Hall, Englewood Cliffs
    • Rogers C (1964) Packing and Covering. Cambridge University Press, Cambridge Ross S (1998) A First Course in Probability. Prentice Hall, Englewood Cliffs
    • (1964) Packing and Covering
    • Rogers, C.1
  • 61
    • 0000184292 scopus 로고
    • Integration of the nondivergent barotropic vorticity equation with an icosahedral-hexagonal grid for the sphere
    • Sadourny R, Arakawa A, Mintz Y (1968) Integration of the nondivergent barotropic vorticity equation with an icosahedral-hexagonal grid for the sphere. Mon Wea Rev 96:351-356
    • (1968) Mon Wea Rev , vol.96 , pp. 351-356
    • Sadourny, R.1    Arakawa, A.2    Mintz, Y.3
  • 63
    • 85028820705 scopus 로고    scopus 로고
    • In: Large-Scale Atmosphere-Ocean Dynamics, Ed. by J. Norbury and I. Roulstone, Chapter 5
    • Sewell M (2002) Some applications of transformation theory in mechanics. In: Large-Scale Atmosphere-Ocean Dynamics, Ed. by J. Norbury and I. Roulstone, vol II, Chapter 5
    • (2002) Some Applications of Transformation Theory in Mechanics , vol.2
    • Sewell, M.1
  • 64
    • 85063287628 scopus 로고
    • In: Proceedings ot the Sixteenth IEEE Annual Symposium on Foundations of Computer Science
    • Shamos M, Hoey D (1975) Closest-point problems. In: Proceedings ot the Sixteenth IEEE Annual Symposium on Foundations of Computer Science, pp 151-162
    • (1975) Closest-Point Problems , pp. 151-162
    • Shamos, M.1    Hoey, D.2
  • 65
    • 0033823701 scopus 로고    scopus 로고
    • Numerical simulation of the north atlantic ocean at 1/10°
    • Smith R, Maltrud M, Bryan F, Hecht M (2000) Numerical simulation of the north atlantic ocean at 1/10°. J Phys Ocean 20:1532-1561
    • (2000) J Phys Ocean , vol.20 , pp. 1532-1561
    • Smith, R.1    Maltrud, M.2    Bryan, F.3    Hecht, M.4
  • 67
    • 70349233739 scopus 로고    scopus 로고
    • Numerical representation of geostrophic modes on arbitrarily structured c-grids
    • Thuburn J, Ringler T, Klemp J, Skamarock W (2009) Numerical representation of geostrophic modes on arbitrarily structured c-grids. J Comput Phys 228:8321-8335
    • (2009) J Comput Phys , vol.228 , pp. 8321-8335
    • Thuburn, J.1    Ringler, T.2    Klemp, J.3    Skamarock, W.4
  • 68
    • 0035842843 scopus 로고    scopus 로고
    • Shallow water model on a modified icosahedral geodesic grid by using spring dynamics
    • Tomita H, Tsugawa M, Satoh M, Goto K (2001) Shallow water model on a modified icosahedral geodesic grid by using spring dynamics. J Comput Phys 174:579-613
    • (2001) J Comput Phys , vol.174 , pp. 579-613
    • Tomita, H.1    Tsugawa, M.2    Satoh, M.3    Goto, K.4
  • 69
    • 22944464732 scopus 로고    scopus 로고
    • A global cloud-resolving simulation: Preliminary results from an aqua planet experiment
    • Tomita H, Miura H, Iga S, Nasuno T, Satoh M (2005) A global cloud-resolving simulation: Preliminary results from an aqua planet experiment. Geophys Res Lett 32:L08,805
    • (2005) Geophys Res Lett 32:L08 , pp. 805
    • Tomita, H.1    Miura, H.2    Iga, S.3    Nasuno, T.4    Satoh, M.5
  • 70
    • 0000734331 scopus 로고
    • Nouvelles applications des paramètres continus à la théorie des formes quadratiques. Primiere mémoire: Sur quelques prepriétés des formes quadratiques positives parfaites
    • Voronoi G (1907) Nouvelles applications des paramètres continus à la théorie des formes quadratiques. Primiere Mémoire: Sur quelques prepriétés des formes quadratiques positives parfaites. J Reine Angew Math 133:97-178
    • (1907) J Reine Angew Math , vol.133 , pp. 97-178
    • Voronoi, G.1
  • 71
    • 84927514013 scopus 로고
    • Nouvelles applications des paramètres continus à la théorie des formes quadratiques. Deuxième mémoire: Recherches usr les parallélloèdres primitifs
    • Voronoi G (1908) Nouvelles applications des paramètres continus à la théorie des formes quadratiques. Deuxième Mémoire: Recherches usr les parallélloèdres primitifs,. J Reine Angew Math 134:198-287
    • (1908) J Reine Angew Math , vol.134 , pp. 198-287
    • Voronoi, G.1
  • 73
    • 73249134764 scopus 로고    scopus 로고
    • Predicting mesh density for adaptive modelling of the global atmosphere. Philosophical transactions of the royal society a: Mathematical
    • Weller H (2009) Predicting mesh density for adaptive modelling of the global atmosphere. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 367:4523-4542
    • (2009) Physical and Engineering Sciences , vol.367 , pp. 4523-4542
    • Weller, H.1
  • 74
    • 40749127977 scopus 로고    scopus 로고
    • A high-order arbitrarily unstructured finite-volume model of the global atmosphere: Tests solving the shallow-water equations
    • Weller H, Weller H (2008) A high-order arbitrarily unstructured finite-volume model of the global atmosphere: Tests solving the shallow-water equations. Inter J Numer Meth Fluids 56: 1589-1596
    • (2008) Inter J Numer Meth Fluids , vol.56 , pp. 1589-1596
    • Weller, H.1    Weller, H.2
  • 75
    • 0000762234 scopus 로고
    • Integration of the barotropic vorticity equation on a spherical geodesic grid
    • Williamson D (1968) Integration of the barotropic vorticity equation on a spherical geodesic grid. Tellus 20:642-653
    • (1968) Tellus , vol.20 , pp. 642-653
    • Williamson, D.1
  • 76
    • 0001629033 scopus 로고
    • Integration of the primitive barotropic model over a spherical geodesic grid
    • Williamson D (1970) Integration of the primitive barotropic model over a spherical geodesic grid. Mon Wea Rev 98:512-520
    • (1970) Mon Wea Rev , vol.98 , pp. 512-520
    • Williamson, D.1
  • 77
    • 0001440358 scopus 로고    scopus 로고
    • A standard test set for numerical approximations to the shallow water equations in spherical geometry
    • Williamson D, Drake J, Hack J, Jakob R, Swarztrauber P (2001) A standard test set for numerical approximations to the shallow water equations in spherical geometry. J Comput Phys 102: 211-224
    • (2001) J Comput Phys , vol.102 , pp. 211-224
    • Williamson, D.1    Drake, J.2    Hack, J.3    Jakob, R.4    Swarztrauber, P.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.