International Journal of Computer Mathematics, Volume 84, Issue 6 (2007)

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International Journal of Computer Mathematics, Volume 84, Issue 6 (2007)

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Splitting Methods for Differential Equations

Miscellany

Preface: Splitting methods for differential equations
Qin Sheng & Abdul Q. M. Khaliq
Pages: 709-711
Published online: 16 Jul 2007
First Page PreviewforPreface: Splitting methods for differential equations | Full Text | References | PDF (55.4 KB)
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Original Articles

Article
Splitting methods for non-autonomous linear systems
Sergio Blanes, Fernando Casas & Ander Murua
Pages: 713-727
Published online: 16 Jul 2007
AbstractforSplitting methods for non-autonomous linear systems | Full Text | References | PDF (365.3 KB)
  • 106 Views
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Article
Forward and non-forward symplectic integrators in solving classical dynamics problems
Siu A. Chin
Pages: 729-747
Published online: 16 Jul 2007
AbstractforForward and non-forward symplectic integrators in solving classical dynamics problems | Full Text | References | PDF (409.2 KB)
  • 74 Views
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Article
On the local and global errors of splitting approximations of reaction–diffusion equations with high spatial gradients
Stéphane Descombes, Thierry Dumont, Violaine Louvet & Marc Massot
Pages: 749-765
Published online: 16 Jul 2007
AbstractforOn the local and global errors of splitting approximations of reaction–diffusion equations with high spatial gradients | Full Text | References | PDF (312 KB)
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Article
Splitting extrapolation method for solving second-order parabolic equations with curved boundaries by using domain decomposition and d-quadratic isoparametric finite elements
Xiaoming He & Tao Lü
Pages: 767-781
Published online: 16 Jul 2007
AbstractforSplitting extrapolation method for solving second-order parabolic equations with curved boundaries by using domain decomposition and d-quadratic isoparametric finite elements | Full Text | References | PDF (130.9 KB)
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Article
Operator splitting techniques for the numerical analysis of natural convection heat transfer
Mehmet Ilicak, Ali Ecder & Erhan Turan
Pages: 783-793
Published online: 16 Jul 2007
AbstractforOperator splitting techniques for the numerical analysis of natural convection heat transfer | Full Text | References | PDF (353.2 KB)
  • 79 Views
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Article
On the monotonicity of an adaptive splitting scheme for two-dimensional singular reaction–diffusion equations
Abdul Q. M. Khaliq & Qin Sheng
Pages: 795-806
Published online: 16 Jul 2007
AbstractforOn the monotonicity of an adaptive splitting scheme for two-dimensional singular reaction–diffusion equations | Full Text | References | PDF (444.1 KB)
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Article
A dimensional splitting method for the linearly elastic shell
Kaitai Li & Xiaoqin Shen
Pages: 807-824
Published online: 16 Jul 2007
AbstractforA dimensional splitting method for the linearly elastic shell | Full Text | References | PDF (160.9 KB)
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Article
Solving a non-smooth eigenvalue problem using operator-splitting methods
K. Majava, R. Glowinski & T. Kärkkäinen
Pages: 825-846
Published online: 16 Jul 2007
AbstractforSolving a non-smooth eigenvalue problem using operator-splitting methods | Full Text | References | PDF (514.6 KB)
  • 66 Views
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Article
On the multisymplecticity of partitioned Runge–Kutta and splitting methods
Brett N. Ryland, Robert I. Mclachlan & Jason Frank
Pages: 847-869
Published online: 16 Jul 2007
AbstractforOn the multisymplecticity of partitioned Runge–Kutta and splitting methods | Full Text | References | PDF (165.7 KB)
  • 155 Views
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Article
On the accuracy of operator splitting for the monodomain model of electrophysiology
H. J. Schroll, G. T. Lines & A. Tveito
Pages: 871-885
Published online: 16 Jul 2007
AbstractforOn the accuracy of operator splitting for the monodomain model of electrophysiology | Full Text | References | PDF (127.3 KB)
  • 129 Views
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Article
Higher-order operator splitting methods for deterministic parabolic equations
A. T. Sornborger
Pages: 887-893
Published online: 16 Jul 2007
AbstractforHigher-order operator splitting methods for deterministic parabolic equations | Full Text | References | PDF (126.1 KB)
  • 105 Views
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Article
Stability analysis of the BDF Slowest-first multirate methods
A. Verhoeven, E. J. W. Ter Maten, R. M. M. Mattheij & B. Tasić
Pages: 895-923
Published online: 16 Jul 2007
AbstractforStability analysis of the BDF Slowest-first multirate methods | Full Text | References | PDF (271.9 KB)
  • 77 Views
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Article
A time-splitting spectral method for computing dynamics of spinor F=1 Bose–Einstein condensates
Hanquan Wang
Pages: 925-944
Published online: 16 Jul 2007
AbstractforA time-splitting spectral method for computing dynamics of spinor F=1 Bose–Einstein condensates | Full Text | References | PDF (665.5 KB)
  • 334 Views
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Article
On rank-constrained Hermitian nonnegative-definite least squares solutions to the matrix equation AXAH=B
Musheng Wei & Qian Wang
Pages: 945-952
Published online: 16 Jul 2007
AbstractforOn rank-constrained Hermitian nonnegative-definite least squares solutions to the matrix equation AXAH=B | Full Text | References | PDF (89.5 KB)
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