Results 21 to 30 of about 781,590 (289)
Results in Applied Mathematics, 2019 An improved preconditioned conjugate gradient squared (PCGS) algorithm has recently been proposed, and it performs much better than the conventional PCGS algorithm.
Shoji Itoh, Masaaki Sugihara
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A new preconditioned conjugate gradient power flow [PDF]
IEEE Transactions on Power Systems, 2002 A new solution methodology for the constant matrix, decoupled power flow problem is presented in this paper. The proposed method uses the conjugate gradient method instead of the traditional direct solution of Ax = b for updating the power flow variables.
H. Dag, A. Semlyen
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Mathematical Modelling and Analysis, 2013 A preconditioned iterative solution method is presented for nonlinear parabolic transport systems. The ingredients are implicit Euler discretization in time and finite element discretization in space, then an outer-inner (outer damped inexact Newton ...
Janos Karatson, Tamas Kurics
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Corrigendum: Block Preconditioning for the Conjugate Gradient Method [PDF]
SIAM Journal on Scientific and Statistical Computing, 1985 Concerns the authors' paper [ibid. 6, 220-252 (1985; Zbl 0556.65022)].
Concus, P., Golub, G. H., Meurant, G.
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A fast, preconditioned conjugate gradient toeplitz solver
Computers & Mathematics with Applications, 1992 The paper describes a fast Toeplitz solver based on the preconditioned conjugate gradient (CG) method. First it describes a factorization of an arbitrary Hermitian, positive definite matrix \(A=(A+\mu I)(I-\mu(A+\mu I)^{-1})\), where \(\mu\) is a parameter.
Pan, Victor, Schreiber, Robert
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GPU-Based N-1 Static Security Analysis Algorithm With Preconditioned Conjugate Gradient Method
IEEE Access, 2020 N-1 static security analysis (SSA) is an important method for power system stability analysis that requires solving N alternating-current power flows (ACPF) for a system with N elements to obtain strictly accurate results.
Meng Fu +5 more
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Mathematics, 2021 The paper deals with the Stokes flow subject to the threshold leak boundary conditions in two and three space dimensions. The velocity–pressure formulation leads to the inequality type problem that is approximated by the P1-bubble/P1 mixed finite ...
Jaroslav Haslinger +3 more
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On numerical solution of nonlinear parabolic multicomponent diffusion-reaction problems
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 This work continues our previous analysis concerning the numerical solution of the multi-component mass transfer equations. The present test problems are two-dimensional, parabolic, non-linear, diffusion- reaction equations. An implicit finite difference
Juncu Gh., Popa C., Sarbu Gh.
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Refined Isogeometric Analysis for a preconditioned conjugate gradient solver [PDF]
Computer Methods in Applied Mechanics and Engineering, 2018 Starting from a highly continuous Isogeometric Analysis (IGA) discretization, refined Isogeometric Analysis (rIGA) introduces $C^0$ hyperplanes that act as separators for the direct LU factorization solver. As a result, the total computational cost required to solve the corresponding system of equations using a direct LU factorization solver ...
Daniel Garcia +3 more
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A scaled BFGS preconditioned conjugate gradient algorithm for unconstrained optimization [PDF]
, 2007 This letter presents a scaled memoryless BFGS preconditioned conjugate gradient algorithm for solving unconstrained optimization problems. The basic idea is to combine the scaled memoryless BFGS method and the preconditioning technique in the frame of ...
Andrei, Neculai
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