Alternating Direction Implicit (ADI) Scheme
Consistency Analysis of Three Dimensional Advection-Diffusion Equation with a Mixed Derivative
... difference scheme of Alternating Direction Explicit (ADE) scheme and Alternating Direction Implicit (ADI) ...
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Generalized Alternating Direction Implicit Finite Difference Time Domain Method in Curvilinear Coordinate System
... the ADI-FDTD scheme is extended into the nonorthogonal coordinate system to achieve an ADI- NFDTD ...proposed scheme are validated by the cylindrical resonator ...the ADI scheme. ...
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Comparative Study of the Adomian Decomposition Method and Alternating Direction Implicit (ADI) for the Resolution of the Problems of Advection Diffusion Reaction
... [8] Ding, H.F. and Zhang, Y.X. (2009) A New Diffence Scheme with High and Absolute Stability for Solving Convection-Diffusion Equations. Journal of Computational and Applied Mathematics , 230, 600-606. ...
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The Adi-FDTD Method Including Lumped Networks Using Piecewise Linear Recursive Convolution Technique
... network alternating direction implicit finite difference time domain (LN-ADI-FDTD) technique is proposed as an extension of the conventional ADI-FDTD method in this paper, which allows ...
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Two Dimensional Nonlinear Reaction Diffusion Equation with Time Efficient Scheme
... Crank-Nicolson scheme for the two dimensional equation, and find out that scheme is not time efficient [14] [15] [16] [17] ...of Alternating Direction Implicit (ADI) method, can ...
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An Alternating Direction Implicit Method for Modeling of Fluid Flow
... the ADI scheme resulting in the efficient use of the nodes from the entire ...this scheme, three diagonal sets of equations are solved instead of five diagonal sets of ...of ADI formulation ...
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Comparison of three different numerical schemes for 2D steady incompressible lid-driven cavity flow
... An alternating direction implicit scheme for the vorticity-stream function formulation, explicit and implicit schemes for the primitive variable formulation of governing Navier-Stokes ...
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Online Full Text
... by alternating direction implicit (ADI) using the scheme which is given ...However ADI method inherently has stability and convergence problems ...of ADI as given in (10) ...
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Alternating direction implicit finite difference methods for a new two dimensional two sided space fractional diffusion equation
... In this paper, we use the backward Euler scheme for the first-order time derivative. We use the shifted left Grünwald formulae and the standard right Grünwald formulae to ap- proximate the left and right ...
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Alternating direction implicit methods for partial differential equations
... x direction and next along lines in the y direction* At every stage of this scheme, the matrices arising are tridiagonal, or Jacobi, matrices* Bueh systems of equations can be solved directly by the ...
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Alternating Segment Explicit Implicit and Implicit Explicit Parallel Difference Method for Time Fractional Sub Diffusion Equation
... the implicit RBF method for solving the time fractional diffusion ...convergent implicit difference ap- proximate method for fractional diffusion equation was constructed by Zhuang Pinghui et ...difference ...
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Convergence analysis on a modified generalized alternating direction method of multipliers
... The alternating direction method of multipliers (ADMM) is one of the most powerful and successful methods for solving convex composite minimization ...
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Alternating direction method of multipliers for the extended trust region subproblem
... In this paper, we have applied ADMM for solving the extended trust region subproblem. The convergence of the method to the first order stationary con- ditions is established and the quality of the solutions for small ...
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An efficient iterative method in numerical calculation
... Systems of linear equations appear in many areas of scientific and engineering calculations in common. The iterative method is the basic method for solving large systems of linear equations, the basic issue involved ...
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Alternating direction methods for hyperbolic systems
... a scheme whieh can be used in a physical s itu a tio n (ww-ro ^ Ba) i s r e s tr lo te d to o rd er h*# Since scheme (4#4#7) 03 b in es both th is ...
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Structured Sparsity via Alternating Direction Methods
... The plots clearly show that the alternating direction methods were much faster than ProxGrad on these two data sets. Compared to ADAL, FISTA-p performed slightly better, while it showed obvious ...
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FUZZY ALTERNATING DIRECTION IMPLICIT METHOD FOR SOLVING PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS IN THREE DIMENSIONS
... The alternating direction implicit method was first suggested by Douglas, Peaceman and Richard for solving the heat equation in two spatial variables and alternating direction ...
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A regularized alternating direction method of multipliers for a class of nonconvex problems
... Hong, M.Y., Luo, Z.Q., Razaviyayn, M.: Convergence analysis of alternating direction method of multipliers for a family of nonconvex problems.. Wang, F.H., Xu, Z.B., Xu, H.K.: Convergenc[r] ...
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Alternating segment explicit implicit and implicit explicit parallel difference method for the nonlinear Leland equation
... ASE-I scheme, we know that the ASE-I scheme uses the clas- sic E-I scheme at an ‘interior point’ of odd and even levels, and it uses the two improved Saul’yev asymmetric schemes at the ‘interior ...
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An Alternating Direction Nonmonotone Approximate Newton Algorithm for Inverse Problems
... The rest of the paper is organized as follows. In Section 2, we give a review of the al- ternating direction approximate Newton method. In Section 3, we introduce the new algorithm ADNAN. In Section 4, we ...
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