메뉴 건너뛰기




Volumn , Issue , 2009, Pages 1-295

Decomposition methods for differential equations: Theory and applications

(1)  Geiser, Juergen a  

a NONE

Author keywords

[No Author keywords available]

Indexed keywords


EID: 85055809325     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Book
Times cited : (36)

References (202)
  • 2
    • 0033439131 scopus 로고    scopus 로고
    • Implicit-explicit multistep methods for quasilinear parabolic equations
    • G. Akrivis, M. Crouzeis, and Ch. Makridakis. Implicit-explicit multistep methods for quasilinear parabolic equations. Numerische Mathematik, 82:521–541, 1999.
    • (1999) Numerische Mathematik , vol.82 , pp. 521-541
    • Akrivis, G.1    Crouzeis, M.2    Makridakis, C.3
  • 3
    • 5644227595 scopus 로고    scopus 로고
    • Spectral-fractional step Runge-Kutta discretisations for initial boundary value problems with time dependent boundary conditions
    • I. Alonso-Mallo, B. Cano, and J.C. Jorge. Spectral-fractional step Runge-Kutta discretisations for initial boundary value problems with time dependent boundary conditions. Mathematics of Computation, 73(248):1801–1825, 2004.
    • (2004) Mathematics of Computation , vol.73 , Issue.248 , pp. 1801-1825
    • Alonso-Mallo, I.1    Cano, B.2    Jorge, J.C.3
  • 6
    • 0001737039 scopus 로고
    • Implicit-explicit methods for time-dependent partial differential equations
    • U.M. Ascher, S.J. Ruuth, and B.T.R. Wetton. Implicit-explicit methods for time-dependent partial differential equations. SIAM Journal on Numerical Analysis, 32(3): 797–823, 1995.
    • (1995) SIAM Journal on Numerical Analysis , vol.32 , Issue.3 , pp. 797-823
    • Ascher, U.M.1    Ruuth, S.J.2    Wetton, B.T.R.3
  • 7
    • 0031269714 scopus 로고    scopus 로고
    • Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
    • U.M. Ascher, S.J. Ruuth, and R.J. Spiteri. Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations. Appl. Num. Math., 25(2–3):151–167, 1997.
    • (1997) Appl. Num. Math. , vol.25 , Issue.2-3 , pp. 151-167
    • Ascher, U.M.1    Ruuth, S.J.2    Spiteri, R.J.3
  • 8
    • 0037055755 scopus 로고    scopus 로고
    • Multisummability of formal solutions of singular perturbation problems
    • W. Balser and J. Mozo-Fernandez. Multisummability of formal solutions of singular perturbation problems. J. Differential Equations, 183(2): 526– 545, 2002.
    • (2002) J. Differential Equations , vol.183 , Issue.2 , pp. 526-545
    • Balser, W.1    Mozo-Fernandez, J.2
  • 10
    • 10444275414 scopus 로고    scopus 로고
    • Adaptive finite element methods for differential equations
    • ETH Zürich, Birkhäuser Verlag, Basel-Boston-Berlin
    • W. Bangerth and R. Rannacher. Adaptive finite element methods for differential equations. Lectures in Mathematics, ETH Zürich, Birkhäuser Verlag, Basel-Boston-Berlin, 2003.
    • (2003) Lectures in Mathematics
    • Bangerth, W.1    Rannacher, R.2
  • 13
    • 0010309313 scopus 로고    scopus 로고
    • Partial Differential Equations and Boundary Value Problems
    • Kluwer Academic Publishers, Dordrecht, Boston, London
    • V. Barbu. Partial Differential Equations and Boundary Value Problems. Mathematics and its Applications, Kluwer Academic Publishers, Dordrecht, Boston, London, 1998.
    • (1998) Mathematics and Its Applications
    • Barbu, V.1
  • 14
    • 33644974171 scopus 로고    scopus 로고
    • Finite volume methods: Foundation and analysis
    • editors: E. Stein, R. Borst, T.J.R. Hughes, West Sussex, England, John Wiley and Sons, chapter 15
    • T. Barth and M. Ohlberger. Finite volume methods: Foundation and analysis. Encyclopedia of Computational Mechanics, editors: E. Stein, R. Borst, T.J.R. Hughes, West Sussex, England, John Wiley and Sons, Vol.1., chapter 15, 2004.
    • (2004) Encyclopedia of Computational Mechanics , vol.1
    • Barth, T.1    Ohlberger, M.2
  • 16
    • 0029656863 scopus 로고    scopus 로고
    • Temporal discretization errors in non-iterative split-operator approaches to solving chemical reaction/groundwater transport models
    • D.A. Barry, C.T. Miller, and P.J. Culligan-Hensley. Temporal discretization errors in non-iterative split-operator approaches to solving chemical reaction/groundwater transport models. Journal of Contaminant Hydrology, 22: 1–17, 1996.
    • (1996) Journal of Contaminant Hydrology , vol.22 , pp. 1-17
    • Barry, D.A.1    Miller, C.T.2    Culligan-Hensley, P.J.3
  • 19
    • 34547926842 scopus 로고    scopus 로고
    • Convergence of an implicit finite element method for the Landau-Lifschitz-Gilbert equation
    • S. Bartels and A. Prohl. Convergence of an implicit finite element method for the Landau-Lifschitz-Gilbert equation. SIAM J. Numer. Anal., 44(4):1405–1419, 2006.
    • (2006) SIAM J. Numer. Anal. , vol.44 , Issue.4 , pp. 1405-1419
    • Bartels, S.1    Prohl, A.2
  • 21
    • 0035012057 scopus 로고    scopus 로고
    • Transport of a decay chain in homogeneous porous media: Analytical solutions
    • P. Bauer, S. Attinger, and W. Kinzelbach. Transport of a decay chain in homogeneous porous media: Analytical solutions. Journal of Contaminant Hydrology, 49(3–4):217–239, 2001.
    • (2001) Journal of Contaminant Hydrology , vol.49 , Issue.3-4 , pp. 217-239
    • Bauer, P.1    Attinger, S.2    Kinzelbach, W.3
  • 22
    • 0001093490 scopus 로고
    • Alternating direction implicit methods for parabolic equations with a mixed derivative
    • R.M. Beam and R. F. Warming. Alternating direction implicit methods for parabolic equations with a mixed derivative. SIAM J. Sci. Stat. Comput., 1:131–159, 1980.
    • (1980) SIAM J. Sci. Stat. Comput. , vol.1 , pp. 131-159
    • Beam, R.M.1    Warming, R.F.2
  • 25
    • 2942560020 scopus 로고    scopus 로고
    • Finite-Volumen-und Mehrgitter-Verfahren für elliptische Randwertprobleme
    • B.G. Teubner Stuttgart, Leipzig
    • J. Bey. Finite-Volumen-und Mehrgitter-Verfahren für elliptische Randwertprobleme. Advances in Numerical Mathematics, B.G. Teubner Stuttgart, Leipzig, 1998.
    • (1998) Advances in Numerical Mathematics
    • Bey, J.1
  • 26
    • 0032383437 scopus 로고    scopus 로고
    • Operator splitting for abstract Cauchy problems
    • M. Bjorhus. Operator splitting for abstract Cauchy problems. IMA Journal of Numerical Analysis, 18:419–443, 1998.
    • (1998) IMA Journal of Numerical Analysis , vol.18 , pp. 419-443
    • Bjorhus, M.1
  • 29
    • 0003210742 scopus 로고    scopus 로고
    • The Mathematicla Theory of Finite Element Methods
    • Springer Verlag, Berlin, Heidelberg
    • S.C. Brenner and L.R. Scott. The Mathematicla Theory of Finite Element Methods. Texts in Applied Mathematics, Vol. 15, Springer Verlag, Berlin, Heidelberg, 2002.
    • (2002) Texts in Applied Mathematics , vol.15
    • Brenner, S.C.1    Scott, L.R.2
  • 30
    • 0000061930 scopus 로고    scopus 로고
    • Geomertic integration: Numerical solution of differential equations on manifolds
    • J. Budd and A. Iserles. Geomertic integration: Numerical solution of differential equations on manifolds. R. Soc. London Philos. Trans. A, 357:943–1133, 1999.
    • (1999) R. Soc. London Philos. Trans. A , vol.357 , pp. 943-1133
    • Budd, J.1    Iserles, A.2
  • 31
    • 18044362676 scopus 로고    scopus 로고
    • Geometric integration and its applications
    • J. Budd and M.D. Piggott. Geometric integration and its applications. Lecture notes available, [http://www.bath.ac.uk/mascjb/home.html], 2002.
    • (2002) Lecture Notes Available
    • Budd, J.1    Piggott, M.D.2
  • 33
    • 84968496738 scopus 로고
    • Implicit Runge-Kutta processes
    • J.C. Butcher. Implicit Runge-Kutta processes. Math. Comp., 18:50–64, 1964.
    • (1964) Math. Comp. , vol.18 , pp. 50-64
    • Butcher, J.C.1
  • 35
    • 0002047515 scopus 로고
    • Additive Schwarz algorithms for parabolic convection-diffusion equations
    • X.C. Cai. Additive Schwarz algorithms for parabolic convection-diffusion equations. Numer. Math., 60(1):41–61, 1991.
    • (1991) Numer. Math. , vol.60 , Issue.1 , pp. 41-61
    • Cai, X.C.1
  • 36
    • 0001146491 scopus 로고
    • Multiplicative Schwarz methods for parabolic problems
    • X.C. Cai. Multiplicative Schwarz methods for parabolic problems. SIAM J. Sci Comput., 15(3):587–603, 1994.
    • (1994) SIAM J. Sci Comput. , vol.15 , Issue.3 , pp. 587-603
    • Cai, X.C.1
  • 37
    • 0022898691 scopus 로고
    • A review of numerical methods in acoustic wave propagation
    • Springer, New York
    • S. Candel. A review of numerical methods in acoustic wave propagation. in Recent Advances in Aeroacoustics, Springer, New York, 339– 410, 1986.
    • (1986) Recent Advances in Aeroacoustics , pp. 339-410
    • Candel, S.1
  • 39
    • 1542508693 scopus 로고    scopus 로고
    • A posteriori error analysis for elliptic PDEs on domains with complicated structures
    • C. Carstensen and S.A. Sauter. A posteriori error analysis for elliptic PDEs on domains with complicated structures. Numer. Math., 96:691– 721, 2004.
    • (2004) Numer. Math. , vol.96 , pp. 691-721
    • Carstensen, C.1    Sauter, S.A.2
  • 40
    • 0024472256 scopus 로고
    • Contaminant transport and biodegradation: A numerical model for reactive transport in porous media
    • M.A. Celia, J.S. Kindred, and I. Herrera. Contaminant transport and biodegradation: A numerical model for reactive transport in porous media. Water Resources Research, 25:1141–1148, 1989.
    • (1989) Water Resources Research , vol.25 , pp. 1141-1148
    • Celia, M.A.1    Kindred, J.S.2    Herrera, I.3
  • 41
    • 0035671076 scopus 로고    scopus 로고
    • Modeling of heat transfer and kinetics of physical vapor transport growth of silicon carbide crystals
    • Journal of Heat Transfer
    • Q.-S. Chen, H. Zhang, V. Prasad, C.M. Balkas, and N.K. Yushin. Modeling of heat transfer and kinetics of physical vapor transport growth of silicon carbide crystals. Transactions of the ASME, Journal of Heat Transfer, 123(6):1098–1109, 2001.
    • (2001) Transactions of the ASME , vol.123 , Issue.6 , pp. 1098-1109
    • Chen, Q.-S.1    Zhang, H.2    Prasad, V.3    Balkas, C.M.4    Yushin, N.K.5
  • 42
    • 33747492396 scopus 로고    scopus 로고
    • A fundamental theorem on the structure of symplectic integrators
    • S.A. Chin. A fundamental theorem on the structure of symplectic integrators. Physics Letters A, 354:373–376, 2006.
    • (2006) Physics Letters A , vol.354 , pp. 373-376
    • Chin, S.A.1
  • 43
    • 58249085018 scopus 로고    scopus 로고
    • Analysis for Applied Mathematics
    • Springer, New York, Berlin, Heidelberg
    • W. Cheney. Analysis for Applied Mathematics. Graduate Texts in Mathematics, 208, Springer, New York, Berlin, Heidelberg, 2001.
    • (2001) Graduate Texts in Mathematics , vol.208
    • Cheney, W.1
  • 45
    • 84945321551 scopus 로고
    • Finite Difference Methods (Part 1)
    • North-Holland/Elsevier, Amsterdam, The Netherlands
    • P.G. Ciarlet and J.L. Lions (eds.). Finite Difference Methods (Part 1). Handbook of numerical analysis, Vol. I, North-Holland/Elsevier, Amsterdam, The Netherlands, 1990.
    • (1990) Handbook of Numerical Analysis , vol.1
    • Ciarlet, P.G.1    Lions, J.L.2
  • 46
    • 0001198078 scopus 로고
    • Finite Element Methods (Part 1)
    • North-Holland/Elsevier, Amsterdam, The Netherlands
    • P.G. Ciarlet and J.L. Lions (eds.). Finite Element Methods (Part 1). Handbook of Numerical Analysis, Vol. II, North-Holland/Elsevier, Amsterdam, The Netherlands, 1991.
    • (1991) Handbook of Numerical Analysis , vol.2
    • Ciarlet, P.G.1    Lions, J.L.2
  • 48
    • 0344393366 scopus 로고    scopus 로고
    • The local discontinuous Galerkin method for time-dependent convection-diffusion systems
    • B. Cockburn and C.-W. Shu. The local discontinuous Galerkin method for time-dependent convection-diffusion systems. SIAM Journal of Numerical Analysis, 35:2240-2463, 1998.
    • (1998) SIAM Journal of Numerical Analysis , vol.35 , pp. 2240-2463
    • Cockburn, B.1    Shu, C.-W.2
  • 49
    • 0002718851 scopus 로고    scopus 로고
    • Discontinuous Galerkin Methods for Convection-Dominated Problems. Higher-Order Methods for Computational Physics
    • B. Cockburn. Discontinuous Galerkin Methods for Convection-Dominated Problems. Higher-Order Methods for Computational Physics, Lecture Notes in Computational Science and Engineering, 9:69– 225, 2003.
    • (2003) Lecture Notes in Computational Science and Engineering , vol.9 , pp. 69-225
    • Cockburn, B.1
  • 51
    • 0003908527 scopus 로고
    • Über die partiellen Differenzengleichungen der mathematischen Physik
    • R. Courant, K.O. Friedrichs, and H. Lewy. Collatz. Über die partiellen Differenzengleichungen der mathematischen Physik. Math. Ann., 100:32–74, 1928.
    • (1928) Math. Ann. , vol.100 , pp. 32-74
    • Courant, R.1    Friedrichs, K.O.2    Collatz, H.L.3
  • 52
    • 0003024878 scopus 로고
    • The method of fractional steps for conservation laws
    • M.G. Crandall and A. Majda. The method of fractional steps for conservation laws. Math. Comp., 34:285–314, 1980.
    • (1980) Math. Comp. , vol.34 , pp. 285-314
    • Crandall, M.G.1    Majda, A.2
  • 53
    • 84966217981 scopus 로고
    • Monotone differences approximations for scalar conservation laws
    • M.G.Crandall and A. Majda. Monotone differences approximations for scalar conservation laws. Math. Comp., 34:1–21, 1980.
    • (1980) Math. Comp. , vol.34 , pp. 1-21
    • Crandall, M.G.1    Majda, A.2
  • 54
    • 34249815838 scopus 로고    scopus 로고
    • Overlapping Schwarz waveform relaxation for the solution of coupled and decoupled system of convection-diffusion-reaction equation
    • D. Daoud and J. Geiser. Overlapping Schwarz waveform relaxation for the solution of coupled and decoupled system of convection-diffusion-reaction equation. Applied Mathematics and Computation, 190(1): 946– 964, 2007.
    • (2007) Applied Mathematics and Computation , vol.190 , Issue.1 , pp. 946-964
    • Daoud, D.1    Geiser, J.2
  • 57
    • 84966201010 scopus 로고
    • A finite difference domain decomposition algorithm for numerical solution of the heat equation
    • C. N. Dawson, Q. Du, and D.F. Dupont. A finite difference domain decomposition algorithm for numerical solution of the heat equation. Mathematics of Computation, 57:63–71, 1991.
    • (1991) Mathematics of Computation , vol.57 , pp. 63-71
    • Dawson, C.N.1    Du, Q.2    Dupont, D.F.3
  • 58
    • 0001793749 scopus 로고
    • 2 = ∂u/∂t by implicit methods
    • 2 = ∂u/∂t by implicit methods. J. SIAM, 3:42–65, 1955.
    • (1955) J. SIAM , vol.3 , pp. 42-65
    • Douglas, J.1
  • 59
    • 0347121979 scopus 로고    scopus 로고
    • Improved accuracy for locally one-dimensional methods for parabolic equations
    • J. Douglas, Jr. and S. Kim. Improved accuracy for locally one-dimensional methods for parabolic equations. Mathematical Models and Methods in Applied Sciences, 11:1563–1579, 2001.
    • (2001) Mathematical Models and Methods in Applied Sciences , vol.11 , pp. 1563-1579
    • Douglas, J.1    Kim, S.2
  • 61
    • 0000474584 scopus 로고
    • The Generation of Waves in an Infinite Elastic Solid by Variable Body Forces
    • G. Eason and J. Fulton, and I. N. Sneddon. The Generation of Waves in an Infinite Elastic Solid by Variable Body Forces. Phil. Trans. R. Soc. Lond., 1956.
    • (1956) Phil. Trans. R. Soc. Lond.
    • Eason, G.1    Fulton, J.2    Sneddon, I.N.3
  • 62
    • 0033081740 scopus 로고    scopus 로고
    • Analytical solution for networks of irreversible first-order reactions
    • G.R. Eykolt. Analytical solution for networks of irreversible first-order reactions. Wat.Res., 33(3):814–826, 1999.
    • (1999) Wat.Res. , vol.33 , Issue.3 , pp. 814-826
    • Eykolt, G.R.1
  • 64
    • 0023289037 scopus 로고
    • Error estimates and automatic time step control for nonlinear parabolic problems
    • K. Erikson and C. Johnson. Error estimates and automatic time step control for nonlinear parabolic problems, I. SIAM Journal on Numerical Analysis archive, 24(1):12–23, 1987.
    • (1987) I. SIAM Journal on Numerical Analysis Archive , vol.24 , Issue.1 , pp. 12-23
    • Erikson, K.1    Johnson, C.2
  • 67
    • 34547500230 scopus 로고
    • A high accuracy alternating direction method for the wave equations
    • G. Fairweather and A.R. Mitchell. A high accuracy alternating direction method for the wave equations. J. Industr. Math. Appl., 1:309–316, 1965.
    • (1965) J. Industr. Math. Appl. , vol.1 , pp. 309-316
    • Fairweather, G.1    Mitchell, A.R.2
  • 68
    • 24144492080 scopus 로고    scopus 로고
    • Splitting methods for abstract Cauchy problems
    • Springer Verlag, Berlin
    • I. Farago. Splitting methods for abstract Cauchy problems. Lect. Notes Comp. Sci. 3401, Springer Verlag, Berlin, 35-45, 2005.
    • (2005) Lect. Notes Comp. Sci. , vol.3401 , pp. 35-45
    • Farago, I.1
  • 69
    • 41949130007 scopus 로고    scopus 로고
    • Modified iterated operator splitting method
    • I. Farago. Modified iterated operator splitting method. Applied Mathematical Modeling, 32(8):1542-1551, 2008
    • (2008) Applied Mathematical Modeling , vol.32 , Issue.8 , pp. 1542-1551
    • Farago, I.1
  • 73
    • 85055832480 scopus 로고    scopus 로고
    • Entwicklung eines Programms zur dreidimensionalen Modellierung des Schadstofftransportes
    • E. Fein, T. Kühle, and U. Noseck. Entwicklung eines Programms zur dreidimensionalen Modellierung des Schadstofftransportes. Fachliches Feinkonzept, Braunschweig, 2001.
    • (2001) Fachliches Feinkonzept, Braunschweig
    • Fein, E.1    Kühle, T.2    Noseck, U.3
  • 78
    • 41449117770 scopus 로고    scopus 로고
    • Analysis of the parareal time-parallel time-integration method
    • M.J. Gander and S. Vanderwalle. Analysis of the parareal time-parallel time-integration method. SIAM Journal on Scientific Computing, 29(2):556–578, 2007.
    • (2007) SIAM Journal on Scientific Computing , vol.29 , Issue.2 , pp. 556-578
    • Gander, M.J.1    Vanderwalle, S.2
  • 83
    • 24144461695 scopus 로고    scopus 로고
    • Discretisation methods with embedded analytical solutions for convection dominated transport in porous media
    • Springer-Verlag, Berlin
    • J. Geiser. Discretisation methods with embedded analytical solutions for convection dominated transport in porous media. Lect. Notes in Mathematics, Springer-Verlag, Berlin, 3401:288–295, 2005.
    • (2005) Lect. Notes in Mathematics , vol.3401 , pp. 288-295
    • Geiser, J.1
  • 84
    • 33846699488 scopus 로고    scopus 로고
    • Discretisation methods with embedded analytical solutions for convection-diffusion dispersion reaction-equations and applications
    • J. Geiser. Discretisation methods with embedded analytical solutions for convection-diffusion dispersion reaction-equations and applications, J. Eng. Math., 57:79–98, 2007.
    • (2007) J. Eng. Math. , vol.57 , pp. 79-98
    • Geiser, J.1
  • 86
    • 85055781574 scopus 로고    scopus 로고
    • Iterative operator-splitting methods with higher order time-integration methods and applications for parabolic partial differential equations
    • no. 2006-10
    • J. Geiser and J. Gedicke. Iterative operator-splitting methods with higher order time-integration methods and applications for parabolic partial differential equations. Humboldt-Preprint, no. 2006-10, 2006.
    • (2006) Humboldt-Preprint
    • Geiser, J.1    Gedicke, J.2
  • 90
    • 35448978249 scopus 로고    scopus 로고
    • Weighted Iterative Operator-Splitting Methods: Stability-Theory
    • J. Geiser. Weighted Iterative Operator-Splitting Methods: Stability-Theory. Lecture Notes in Computer Science, 4310:40–47, 2007.
    • (2007) Lecture Notes in Computer Science , vol.4310 , pp. 40-47
    • Geiser, J.1
  • 91
    • 35449000433 scopus 로고    scopus 로고
    • Weighted Iterative Operator-Splitting Methods and Applications
    • J. Geiser and Chr. Kravvaritis. Weighted Iterative Operator-Splitting Methods and Applications. Lecture Notes in Computer Science, 4310:48– 55, 2007.
    • (2007) Lecture Notes in Computer Science , vol.4310 , pp. 48-55
    • Geiser, J.1    Kravvaritis, C.2
  • 92
    • 85055793303 scopus 로고    scopus 로고
    • Modified Jacobian Newton Iterative Method with Embedded Domain Decomposition Method
    • Hindawi Publishing Corp., New York, accepted, December
    • J. Geiser. Modified Jacobian Newton Iterative Method with Embedded Domain Decomposition Method. Mathematical Problems in Engineering, Hindawi Publishing Corp., New York, accepted, December 2008.
    • (2008) Mathematical Problems in Engineering
    • Geiser, J.1
  • 95
    • 85055859549 scopus 로고    scopus 로고
    • WIAS-HiTNIHS: Software-tool for simulation in sublimation growth for SiC single crystal: Application and Methods
    • Houston, Texas, November
    • J. Geiser, O. Klein, and P. Philip. WIAS-HiTNIHS: Software-tool for simulation in sublimation growth for SiC single crystal: Application and Methods. Proceeding, IANANO, Houston, Texas, November 2004.
    • (2004) Proceeding, IANANO
    • Geiser, J.1    Klein, O.2    Philip, P.3
  • 97
    • 34249905775 scopus 로고    scopus 로고
    • Transient numerical study of temperature gradients during sublimation growth of SiC: Dependence on apparatus design
    • J. Geiser, O. Klein, and P. Philip. Transient numerical study of temperature gradients during sublimation growth of SiC: Dependence on apparatus design. Journal of Crystal Growth, 297:20–32, 2006.
    • (2006) Journal of Crystal Growth , vol.297 , pp. 20-32
    • Geiser, J.1    Klein, O.2    Philip, P.3
  • 98
    • 33749012829 scopus 로고    scopus 로고
    • Influence of anisotropic thermal conductivity in the apparatus insulation for sublimation growth of SiC: Numerical investigation of heat transfer
    • J. Geiser, O. Klein, and P. Philip. Influence of anisotropic thermal conductivity in the apparatus insulation for sublimation growth of SiC: Numerical investigation of heat transfer. Crystal Growth & Design, 6:2021–2028, 2006.
    • (2006) Crystal Growth & Design , vol.6 , pp. 2021-2028
    • Geiser, J.1    Klein, O.2    Philip, P.3
  • 99
    • 34047249385 scopus 로고    scopus 로고
    • Numerical simulation of temperature fields during the sublimation growth of SiC single crystals, using WIAS-HiTNIHS
    • J. Geiser, O. Klein, and P. Philip. Numerical simulation of temperature fields during the sublimation growth of SiC single crystals, using WIAS-HiTNIHS. Journal of Crystal Growth, 303(1):352–356, 2007.
    • (2007) Journal of Crystal Growth , vol.303 , Issue.1 , pp. 352-356
    • Geiser, J.1    Klein, O.2    Philip, P.3
  • 105
    • 37249017674 scopus 로고    scopus 로고
    • Multiscale Discontinuous Galerkin Methods for Modeling Flow and Transport in Porous Media
    • J. Geiser and S. Sun. Multiscale Discontinuous Galerkin Methods for Modeling Flow and Transport in Porous Media. Lecture Notes in Computer Science, 4487:890–897, 2007.
    • (2007) Lecture Notes in Computer Science , vol.4487 , pp. 890-897
    • Geiser, J.1    Sun, S.2
  • 106
    • 0021974129 scopus 로고
    • Convective-Dispersive Transport of Solutes involved in sequential first-order decay reactions
    • M.Th. Genuchten. Convective-Dispersive Transport of Solutes involved in sequential first-order decay reactions. Computer and Geosciences, 11(2):129–147, 1985.
    • (1985) Computer and Geosciences , vol.11 , Issue.2 , pp. 129-147
    • Genuchten, M.T.1
  • 109
    • 33044493546 scopus 로고    scopus 로고
    • Handbook of Numerical Analysis, Gen. eds. P.G. Ciarlet, J. Lions, North-Holland Elsevier, Amsterdam, The Netherlands
    • R. Glowinski. Numerical methods for fluids. Handbook of Numerical Analysis, Gen. eds. P.G. Ciarlet, J. Lions, Vol. IX, North-Holland Elsevier, Amsterdam, The Netherlands, 2003.
    • (2003) Numerical Methods for Fluids , vol.9
    • Glowinski, R.1
  • 110
    • 0000935266 scopus 로고
    • Difference methods for the numerical calculations of discontinuous solutions of the equations of fluid dynamics
    • S.K. Godunov. Difference methods for the numerical calculations of discontinuous solutions of the equations of fluid dynamics. Mat. Sb., 47:271–306, 1959.
    • (1959) Mat. Sb. , vol.47 , pp. 271-306
    • Godunov, S.K.1
  • 111
    • 84892004809 scopus 로고    scopus 로고
    • Version 5.4. Institut für Angewandte Mathematik, Universität Bonn und Institut für Angewandte Mathematik, Universität Freiburg
    • GRAPE. GRAphics Programming Environment for mathematical problems, Version 5.4. Institut für Angewandte Mathematik, Universität Bonn und Institut für Angewandte Mathematik, Universität Freiburg, 2001.
    • (2001) Graphics Programming Environment for Mathematical Problems
  • 113
    • 0024776669 scopus 로고
    • On first and second order box schemes
    • W. Hackbusch. On first and second order box schemes. Computing, 41:277–296, 1989.
    • (1989) Computing , vol.41 , pp. 277-296
    • Hackbusch, W.1
  • 115
    • 85067973190 scopus 로고
    • Iterative Solution of Large Sparse Systems of Equations
    • Springer-Verlag, Berlin, New York
    • W. Hackbusch. Iterative Solution of Large Sparse Systems of Equations. Applied Mathematical Sciences, Vol. 95, Springer-Verlag, Berlin, New York, 1994.
    • (1994) Applied Mathematical Sciences , vol.95
    • Hackbusch, W.1
  • 119
    • 40749159424 scopus 로고
    • High resolution schemes for hyperbolic conservation laws
    • A. Harten. High resolution schemes for hyperbolic conservation laws. J. Comput. Phys., 49:357–393, 1993.
    • (1993) J. Comput. Phys. , vol.49 , pp. 357-393
    • Harten, A.1
  • 121
    • 0006191866 scopus 로고
    • Finite Difference Methods on Irregular Networks
    • Birkhäuser, Basel, Boston, Stuttgart
    • B. Heinrich. Finite Difference Methods on Irregular Networks. International Series of Numerical Mathematics, Birkhäuser, Basel, Boston, Stuttgart, Vol. 82, 1987.
    • (1987) International Series of Numerical Mathematics , vol.82
    • Heinrich, B.1
  • 122
    • 8744257754 scopus 로고    scopus 로고
    • Silicon carbide crystal and substrate technology: A survey of recent advances
    • 3–8, Proceedings of the 10th International Conference on Silicon Carbide and Related Materials, October 5–10, 2003, Lyon, France
    • H.McD. Hobgood, M.F. Brady, M.R. Calus, J.R. Jenny, R.T. Leonard, D.P. Malta, St.G. Müller, A.R. Powell, V.F. Tsvetkov, R.C. Glass, and C.H. Carter, Jr. Silicon carbide crystal and substrate technology: A survey of recent advances. Mater. Sci. Forum, 457–460, (2004), 3–8, Proceedings of the 10th International Conference on Silicon Carbide and Related Materials, October 5–10, 2003, Lyon, France.
    • (2004) Mater. Sci. Forum , pp. 457-460
    • Hobgood, H.M.1    Brady, M.F.2    Calus, M.R.3    Jenny, J.R.4    Leonard, R.T.5    Malta, D.P.6    Müller, S.G.7    Powell, A.R.8    Tsvetkov, V.F.9    Glass, R.C.10    Carter, C.H.11
  • 123
    • 0029405472 scopus 로고
    • Multiscale phenomena: Green’s functions, the Dirichlet-to-Neumann formulation, subgrid-scale models, bubbles and the origins of stabilized methods
    • T.J.R. Hughes. Multiscale phenomena: Green’s functions, the Dirichlet-to-Neumann formulation, subgrid-scale models, bubbles and the origins of stabilized methods Computer Methods in Applied Mechanics and Engineering, l27:387–401, 1995.
    • (1995) Computer Methods in Applied Mechanics and Engineering , vol.127 , pp. 387-401
    • Hughes, T.J.R.1
  • 126
    • 84895268634 scopus 로고    scopus 로고
    • A note on iterated splitting schemes
    • Amsterdam, Netherlands
    • W. Hundsdorfer and L. Portero. A note on iterated splitting schemes. CWI Report MAS-E0404, Amsterdam, Netherlands, 2005.
    • (2005) CWI Report MAS-E0404
    • Hundsdorfer, W.1    Portero, L.2
  • 127
    • 85055857264 scopus 로고    scopus 로고
    • Robuste Mehrgitterverfahren für die Konvektions-Diffusions Gleichung mit wirbelbehafteter Konvektion
    • K. Johannsen. Robuste Mehrgitterverfahren für die Konvektions-Diffusions Gleichung mit wirbelbehafteter Konvektion. Doktor-Arbeit, Universität Heidelberg, 1999.
    • (1999) Doktor-Arbeit, Universität Heidelberg
    • Johannsen, K.1
  • 128
    • 35248892514 scopus 로고    scopus 로고
    • An aligned 3D-finite-volume method for convection-diffusion problems
    • R. Helmig, W. Jäger, W. Kinzelbach, P. Knabner, and G. Wittum (eds.), Vieweg, Braunschweig
    • K. Johannsen. An aligned 3D-finite-volume method for convection-diffusion problems. Modeling and Computation in Environmental Sciences, R. Helmig, W. Jäger, W. Kinzelbach, P. Knabner, and G. Wittum (eds.), Vieweg, Braunschweig, 59:227–243, 1997.
    • (1997) Modeling and Computation in Environmental Sciences , vol.59 , pp. 227-243
    • Johannsen, K.1
  • 130
    • 0037370841 scopus 로고    scopus 로고
    • Convergence of iterative split-operator approaches for approximating nonlinear reactive transport problems
    • J. Kanney, C. Miller, and C.T. Kelley. Convergence of iterative split-operator approaches for approximating nonlinear reactive transport problems. Advances in Water Resources, 26:247–261, 2003.
    • (2003) Advances in Water Resources , vol.26 , pp. 247-261
    • Kanney, J.1    Miller, C.2    Kelley, C.T.3
  • 131
    • 17644411935 scopus 로고    scopus 로고
    • Solving Nonlinear Equations with Newton’s Method
    • C.T. Kelley. Solving Nonlinear Equations with Newton’s Method. Computational Mathematics, SIAM, XIV, 2003.
    • (2003) Computational Mathematics, SIAM , vol.14
    • Kelley, C.T.1
  • 132
    • 0037216570 scopus 로고    scopus 로고
    • Additive Runge-Kutta schemes for convection-diffusion-reaction equations
    • C.A. Kennedy and M.H. Carpenter. Additive Runge-Kutta schemes for convection-diffusion-reaction equations. Applied Numerical Mathematics, 44(1–2):139–181, 2003.
    • (2003) Applied Numerical Mathematics , vol.44 , Issue.1-2 , pp. 139-181
    • Kennedy, C.A.1    Carpenter, M.H.2
  • 133
    • 33847255524 scopus 로고    scopus 로고
    • High-order schemes for acoustic waveform simulation
    • S. Kim and H. Lim. High-order schemes for acoustic waveform simulation. Applied Numerical Mathematics, 57(4):402–414, 2007.
    • (2007) Applied Numerical Mathematics , vol.57 , Issue.4 , pp. 402-414
    • Kim, S.1    Lim, H.2
  • 134
    • 0024785911 scopus 로고
    • Coupling of transport and chemical processes in numerical transport models
    • J. Herzer and W. Kinzelbach. Coupling of transport and chemical processes in numerical transport models. Geoderma, 44:115–127, 1989.
    • (1989) Geoderma , vol.44 , pp. 115-127
    • Herzer, J.1    Kinzelbach, W.2
  • 136
    • 0037211041 scopus 로고    scopus 로고
    • Transient numerical investigation of induction heating during sublimation growth of silicon carbide single crystals
    • O. Klein and P. Philip. Transient numerical investigation of induction heating during sublimation growth of silicon carbide single crystals. J. Crystal Growth, 247(1-2):219–235, 2003.
    • (2003) J. Crystal Growth , vol.247 , Issue.1-2 , pp. 219-235
    • Klein, O.1    Philip, P.2
  • 137
    • 0037365049 scopus 로고    scopus 로고
    • Transient temperature phenomena during sublimation growth of silicon carbide single crystals
    • O. Klein and P. Philip. Transient temperature phenomena during sublimation growth of silicon carbide single crystals. J. Crystal Growth, 249(3–4):514–522, 2003.
    • (2003) J. Crystal Growth , vol.249 , Issue.3-4 , pp. 514-522
    • Klein, O.1    Philip, P.2
  • 138
    • 4944249680 scopus 로고    scopus 로고
    • Modeling and simulation of sublimation growth of SiC bulk single crystals
    • O. Klein, P. Philip, and J. Sprekels. Modeling and simulation of sublimation growth of SiC bulk single crystals. Interfaces and Free Boundaries, 6:295–314, 2004.
    • (2004) Interfaces and Free Boundaries , vol.6 , pp. 295-314
    • Klein, O.1    Philip, P.2    Sprekels, J.3
  • 139
    • 0035250947 scopus 로고    scopus 로고
    • Radiation-and convection-driven transient heat transfer during sublimation growth of silicon carbide single crystals
    • O. Klein, P. Philip, J. Sprekels, and K. Wilmański. Radiation-and convection-driven transient heat transfer during sublimation growth of silicon carbide single crystals. J. Crystal Growth, 222(4):832–851, 2001.
    • (2001) J. Crystal Growth , vol.222 , Issue.4 , pp. 832-851
    • Klein, O.1    Philip, P.2    Sprekels, J.3    Wilmański, K.4
  • 140
    • 0000568706 scopus 로고
    • Sublimation growth of SiC
    • G.L. Harris (ed.), Properties of Silicon Carbide, EMIS Datareview Series, no. 13, London, UK
    • A.O. Konstantinov. Sublimation growth of SiC, G.L. Harris (ed.), Properties of Silicon Carbide, EMIS Datareview Series, no. 13, London, UK, 170–203, 1995.
    • (1995) 170–203
    • Konstantinov, A.O.1
  • 141
    • 0008917885 scopus 로고    scopus 로고
    • Preprint N6-1999, Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway
    • R. Kozlov and B. Owren. Order reduction in operator splitting methods. Preprint N6-1999, Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway, 1999.
    • (1999) Order Reduction in Operator Splitting Methods
    • Kozlov, R.1    Owren, B.2
  • 142
    • 1842733456 scopus 로고    scopus 로고
    • The bahaviour of the local error in splitting methods applied to stiff problems
    • R. Kozlov, A. Kvarno, and B. Owren. The bahaviour of the local error in splitting methods applied to stiff problems. Journal of Computational Physics, 195:576–593, 2004.
    • (2004) Journal of Computational Physics , vol.195 , pp. 576-593
    • Kozlov, R.1    Kvarno, A.2    Owren, B.3
  • 143
    • 0004186233 scopus 로고    scopus 로고
    • Numerical Schemes for Conservation Laws
    • Chichester, New York
    • D. Kröner. Numerical Schemes for Conservation Laws. Wiley and Teubner, Chichester, New York, 1997.
    • (1997) Wiley and Teubner
    • Kröner, D.1
  • 145
    • 0033571420 scopus 로고    scopus 로고
    • Analysis of operator-splitting for advection-diffusion-reaction problems from air pollution modelling
    • D. Lanser and J.G. Verwer. Analysis of operator-splitting for advection-diffusion-reaction problems from air pollution modelling. Journal of Computational Applied Mathematics, 111(1–2):201–216, 1999.
    • (1999) Journal of Computational Applied Mathematics , vol.111 , Issue.1-2 , pp. 201-216
    • Lanser, D.1    Verwer, J.G.2
  • 148
    • 0141995399 scopus 로고    scopus 로고
    • Wiley-Interscience, New York
    • P. Lax. Functional Analysis. Wiley-Interscience, New York, 2002.
    • (2002) Functional Analysis
    • Lax, P.1
  • 149
    • 0042082744 scopus 로고
    • Alternating direction methods for hyperbolic differential equations
    • M. Lees. Alternating direction methods for hyperbolic differential equations. J. Soc. Industr. Appl. Math., 10(4):610–616, 1962.
    • (1962) J. Soc. Industr. Appl. Math. , vol.10 , Issue.4 , pp. 610-616
    • Lees, M.1
  • 150
    • 0003733595 scopus 로고    scopus 로고
    • Finite Volume Methods for Hyperbolic Problems
    • Cambridge University Press
    • R.J. LeVeque. Finite Volume Methods for Hyperbolic Problems. Cambridge Texts in Applied Mathematics, Cambridge University Press, 2002.
    • (2002) Cambridge Texts in Applied Mathematics
    • Leveque, R.J.1
  • 151
    • 1042269655 scopus 로고    scopus 로고
    • A variational splitting integrator for quantum molecular dynamics
    • C. Lubich. A variational splitting integrator for quantum molecular dynamics. Applied Numerical Mathematics archive, 48(3–4):355–368, 2004
    • (2004) Applied Numerical Mathematics Archive , vol.48 , Issue.3-4 , pp. 355-368
    • Lubich, C.1
  • 152
    • 85055805249 scopus 로고    scopus 로고
    • Silicon Carbide and Related Materials ICSCRM, Lyon, France, October 5–10, 2003
    • Trans Tech Publications Ltd
    • R. Madar, J. Camassel, and E. Blanquet. Silicon Carbide and Related Materials ICSCRM, Lyon, France, October 5–10, 2003. Materials Science Forum, Vol. 457–460, Part II, Trans Tech Publications Ltd., 2004.
    • (2004) Materials Science Forum , vol.457-460
    • Madar, R.1    Camassel, J.2    Blanquet, E.3
  • 153
    • 84971942321 scopus 로고
    • Numerical methods for differential-algebraic equations
    • R. März. Numerical methods for differential-algebraic equations. Acta Numerica, 141–198, 1992.
    • (1992) Acta Numerica , pp. 141-198
    • März, R.1
  • 154
    • 0012630605 scopus 로고
    • Some applications of splitting-up methods to the solution of mathematical physics problems
    • G.I. Marchuk. Some applications of splitting-up methods to the solution of mathematical physics problems. Aplikace Matematiky, 13:103–132, 1968.
    • (1968) Aplikace Matematiky , vol.13 , pp. 103-132
    • Marchuk, G.I.1
  • 156
    • 0030380578 scopus 로고    scopus 로고
    • The partition of unity finite element method: Theory and Application
    • J.M. Melenk and I. Babuska. The partition of unity finite element method: Theory and Application. Comput. Methods Appl. Mech. Engrg., 139:289–314, 1996.
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.139 , pp. 289-314
    • Melenk, J.M.1    Babuska, I.2
  • 157
    • 0346801779 scopus 로고
    • Numerical experiments with a domain decomposition method for parabolic problems on parallel computers
    • R. Glowinski, Y.A. Kuznetsov, G.A. Meurant, J. Périaux, and O. Widlund, editors, SIAM, Philadelphia, PA
    • G.A. Meurant. Numerical experiments with a domain decomposition method for parabolic problems on parallel computers. In R. Glowinski, Y.A. Kuznetsov, G.A. Meurant, J. Périaux, and O. Widlund, editors, Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations, SIAM, Philadelphia, PA, 1991.
    • (1991) Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations
    • Meurant, G.A.1
  • 160
  • 161
    • 0000898007 scopus 로고    scopus 로고
    • A new sparse matrix storage methods for adaptive solving of large systems of reaction-diffusion-transport equations
    • Keil et.al., ed., Springer-Verlag, Berlin, Heidelberg, New York
    • N. Neuss. A new sparse matrix storage methods for adaptive solving of large systems of reaction-diffusion-transport equations. In Keil et.al., ed., Scientific Computing in Chemical Engineering II, Springer-Verlag, Berlin, Heidelberg, New York, 175–182, 1999.
    • (1999) Scientific Computing in Chemical Engineering II , pp. 175-182
    • Neuss, N.1
  • 162
    • 85055821763 scopus 로고    scopus 로고
    • Website
    • Website: OFELI: http://ofeli.sourceforge.net/
  • 166
    • 0003238540 scopus 로고
    • Nonlinear evolution operators and semigroups
    • Springer, Berlin
    • N.H. Pavel. Nonlinear evolution operators and semigroups. Lect. Notes in Math., 1260, Springer, Berlin, 1987.
    • (1987) Lect. Notes in Math , vol.1260
    • Pavel, N.H.1
  • 167
    • 0002058827 scopus 로고
    • The numerical solution of parabolic and elliptic differential equations
    • D.W. Peaceman and H.H. Racheford. Jr. The numerical solution of parabolic and elliptic differential equations. J. SIAM, 3:28–42, 1955.
    • (1955) J. SIAM , vol.3 , pp. 28-42
    • Peaceman, D.W.1    Racheford, H.H.2
  • 168
    • 55149101496 scopus 로고    scopus 로고
    • A compact discontinuous Galerkin (CDG) method for elliptic problems
    • J. Peraire and P.-O. Persson. A compact discontinuous Galerkin (CDG) method for elliptic problems. SIAM Journal on Scientific Computing, 30(4), 1806–1824, 2008.
    • (2008) SIAM Journal on Scientific Computing , vol.30 , Issue.4 , pp. 1806-1824
    • Peraire, J.1    Persson, P.-O.2
  • 171
    • 84952309863 scopus 로고    scopus 로고
    • A combined Embedded Fractional Step Domain Decomposition operator splittings for the solution of parabolic equations
    • L. Portero, B. Bujanda, and J.C. Jorge. A combined Embedded Fractional Step Domain Decomposition operator splittings for the solution of parabolic equations. Springer Lecture Notes in Comput. Sci., 3019:1034– 1041, 2004.
    • (2004) Springer Lecture Notes in Comput. Sci. , vol.3019 , pp. 1034-1041
    • Portero, L.1    Bujanda, B.2    Jorge, J.C.3
  • 172
    • 84864628982 scopus 로고    scopus 로고
    • Embedded pairs of fractional step Runge-Kutta methods and improved domain decomposition techniques for parabolic problems
    • L. Portero and J.C. Jorge. Embedded pairs of fractional step Runge-Kutta methods and improved domain decomposition techniques for parabolic problems. Springer Lecture Notes in Computational Science and Engineering, 55:731–738, 2007
    • (2007) Springer Lecture Notes in Computational Science and Engineering , vol.55 , pp. 731-738
    • Portero, L.1    Jorge, J.C.2
  • 177
    • 0036704518 scopus 로고    scopus 로고
    • An overview of research on Eulerian-Lagrangian localized adjoint methods (ELLAM)
    • T.F. Russell and M.A. Celia. An overview of research on Eulerian-Lagrangian localized adjoint methods (ELLAM). Advances in Water Resources, 25:1215–1231, 2002.
    • (2002) Advances in Water Resources , vol.25 , pp. 1215-1231
    • Russell, T.F.1    Celia, M.A.2
  • 178
    • 0003430389 scopus 로고    scopus 로고
    • Numerical Approximation of Partial Differential Equations
    • Springer-Verlag, Berlin, Heidelberg, New-York
    • A. Quarteroni and A. Valli. Numerical Approximation of Partial Differential Equations. Springer Series in Computational Mathematics, Springer-Verlag, Berlin, Heidelberg, New-York, 1997.
    • (1997) Springer Series in Computational Mathematics
    • Quarteroni, A.1    Valli, A.2
  • 181
    • 0004206183 scopus 로고
    • B.G. Teubner Verlag Stuttgart, 2. Auflage
    • H.R. Schwarz. Numerische Mathematik. B.G. Teubner Verlag Stuttgart, 2. Auflage, 1988.
    • (1988) Numerische Mathematik
    • Schwarz, H.R.1
  • 183
    • 0039929025 scopus 로고
    • On the design of an upwind scheme for compressible flow on general triangulation
    • Th. Sonar. On the design of an upwind scheme for compressible flow on general triangulation. Numerical Analysis, 4:135–148, 1993.
    • (1993) Numerical Analysis , vol.4 , pp. 135-148
    • Sonar, T.1
  • 184
    • 0001446261 scopus 로고    scopus 로고
    • An analysis of operator-splitting techniques in the stiff case
    • B. Sportisse. An analysis of operator-splitting techniques in the stiff case. Journal of Computational Physics, 161:140–168, 2000.
    • (2000) Journal of Computational Physics , vol.161 , pp. 140-168
    • Sportisse, B.1
  • 185
    • 0001518684 scopus 로고
    • On the construction and comparision of difference schemes
    • G. Strang. On the construction and comparision of difference schemes. SIAM J. Numer. Anal., 5:506–517, 1968.
    • (1968) SIAM J. Numer. Anal. , vol.5 , pp. 506-517
    • Strang, G.1
  • 187
    • 0003747496 scopus 로고
    • Galerkin Finite Element Methods for Parabolic Problems
    • Springer-Verlag, Berlin, New York, Heidelberg
    • V. Thomee. Galerkin Finite Element Methods for Parabolic Problems. Lecture Notes in Math., vol. 1054, Springer-Verlag, Berlin, New York, Heidelberg, 1984.
    • (1984) Lecture Notes in Math. , vol.1054
    • Thomee, V.1
  • 188
    • 7244250225 scopus 로고    scopus 로고
    • Numerical approximations of singular source terms in differential equations
    • A.-K. Tornberg and B. Engquist. Numerical approximations of singular source terms in differential equations. J. Comput. Phys., 200(2):462– 488, 2004
    • (2004) J. Comput. Phys. , vol.200 , Issue.2 , pp. 462-488
    • Tornberg, A.-K.1    Engquist, B.2
  • 192
    • 85055851985 scopus 로고    scopus 로고
    • A Review of a posteriori Error Estimates and Adaptive Mesh-Refinement Techniques
    • R. Verfürth. A Review of a posteriori Error Estimates and Adaptive Mesh-Refinement Techniques. Wiley and Teubner, Chichester, New York, 1996.
    • (1996) Wiley and Teubner, Chichester, New York
    • Verfürth, R.1
  • 193
    • 0003460479 scopus 로고    scopus 로고
    • A note on operator splitting in a stiff linear case
    • Amsterdam, Netherlands, MAS-R9830
    • J.G. Verwer and B. Sportisse. A note on operator splitting in a stiff linear case. CWI, Amsterdam, Netherlands, MAS-R9830, 1998.
    • (1998) CWI
    • Verwer, J.G.1    Sportisse, B.2
  • 195
    • 0039523559 scopus 로고    scopus 로고
    • On the Approximation of Singular Source Terms in Differential Equations
    • J. Waldén. On the Approximation of Singular Source Terms in Differential Equations. Numer. Meth. Part. D E, 15:503–520, 1999.
    • (1999) Numer. Meth. Part. D E , vol.15 , pp. 503-520
    • Waldén, J.1
  • 196
    • 0000561596 scopus 로고
    • On the robustness of ILU smoothing
    • G. Wittum. On the robustness of ILU smoothing. SIAM J. Sci. Statist. Comput., 10:699–717, 1989.
    • (1989) SIAM J. Sci. Statist. Comput. , vol.10 , pp. 699-717
    • Wittum, G.1
  • 197
    • 0003324460 scopus 로고    scopus 로고
    • Discretisation methods and iterative solvers based on domain decomposition
    • Springer-Verlag, Berlin, Heidelberg, New York
    • B. Wohlmuth. Discretisation methods and iterative solvers based on domain decomposition. Lecture Notes in Computational Science and Engineering, 17, Springer-Verlag, Berlin, Heidelberg, New York, 2003.
    • (2003) Lecture Notes in Computational Science and Engineering , vol.17
    • Wohlmuth, B.1
  • 199
    • 0001005075 scopus 로고
    • Construction of higher order symplectic integrators
    • H. Yoshida. Construction of higher order symplectic integrators. Physics Letters A, 150(5–7):262-268, 1990.
    • (1990) Physics Letters A , vol.150 , Issue.5-7 , pp. 262-268
    • Yoshida, H.1
  • 200
    • 0003678750 scopus 로고
    • Nonlinear Functional Analysis and Its Applications
    • Springer-Verlag, Berlin, Heidelberg, New York
    • E. Zeidler. Nonlinear Functional Analysis and Its Applications. II/A Linear Monotone Operators. Springer-Verlag, Berlin, Heidelberg, New York, 1990.
    • (1990) II/A Linear Monotone Operators
    • Zeidler, E.1
  • 201
    • 0003678750 scopus 로고
    • Nonlinear Functional Analysis and Its Applications
    • Springer-Verlag, Berlin, Heidelberg, New York
    • E. Zeidler. Nonlinear Functional Analysis and Its Applications. II/B Nonlinear Monotone Operators. Springer-Verlag, Berlin, Heidelberg, New York, 1990.
    • (1990) II/B Nonlinear Monotone Operators
    • Zeidler, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.