Results 61 to 70 of about 629 (136)

A Global Krylov Subspace Method for the Sylvester Quaternion Matrix Equation

Journal of New Theory
This study concerns the Sylvester matrix equation in the quaternion setting when the coefficient matrices as well as the unknown matrix have quaternion entries.
Sinem Şimşek
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Re-Orthogonalized/Affine GMRES and Orthogonalized Maximal Projection Algorithm for Solving Linear Systems

Algorithms
GMRES is one of the most powerful and popular methods to solve linear systems in the Krylov subspace; we examine it from two viewpoints: to maximize the decreasing length of the residual vector, and to maintain the orthogonality of the consecutive ...
Chein-Shan Liu, Chih-Wen Chang , Chung-Lun Kuo    +2 more
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Generalized Preconditioned MHSS Method for a Class of Complex Symmetric Linear Systems

Abstract and Applied Analysis, 2014
Based on the modified Hermitian and skew-Hermitian splitting (MHSS) and preconditioned MHSS (PMHSS) methods, a generalized preconditioned MHSS (GPMHSS) method for a class of complex symmetric linear systems is presented.
Cui-Xia Li, Yan-Jun Liang, Shi-Liang Wu
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An Alternative HSS Preconditioner for the Unsteady Incompressible Navier-Stokes Equations in Rotation Form

Journal of Applied Mathematics, 2012
We study the preconditioned iterative method for the unsteady Navier-Stokes equations. The rotation form of the Oseen system is considered. We apply an efficient preconditioner which is derived from the Hermitian/Skew-Hermitian preconditioner to the ...
Jia Liu
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New numerical method based on Generalized Bessel function to solve nonlinear Abel fractional differential equation of the first kind

Nonlinear Engineering, 2019
Fractional calculus and fractional differential equations (FDE) have many applications in different branches of sciences. But, often a real nonlinear FDE has not the exact or analytical solution and must be solved numerically.
Parand K., Nikarya M.
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SVD-Krylov–Based Structure-Preserving Techniques for Approximation of a Class of Second-Order Index-1 Descriptor Systems

Journal of Applied Mathematics
This work is aimed at deriving a computationally efficient approach to approximate the second-order Index-1 descriptor systems without exploiting the fundamental structure of the systems, which ensures both the accuracy of the approximation and the ...
Mahtab Uddin, M. Monir Uddin, Md. Abdul Hakim Khan   +2 more
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Structural Response Evaluation of Krylov Subspace-Based Reduced-Order Model for Real-Time Structural Health Monitoring and Prediction of Container Ships

한국해양공학회지
Recently, digital transformation has become crucial for the safe operation and extended lifespan of ships and offshore structures. Structural health management is gaining importance and driving interest in digital twin technology for monitoring ...
Kichan Sim, Byoung Wan Kim, Jeong Sam Han, Kangsu Lee   +3 more
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GPU-based multi-group discrete ordinates transport calculations: Parallel computing implementation in STRAUM

Nuclear Engineering and Technology
Discrete ordinates (SN) method with unstructured meshes is highly appropriate for high-fidelity modeling and simulation of radiation shielding problems with complicated geometries.
Ao Zhang, Ser Gi Hong, Seungil Jeong, Jingen Chen   +3 more
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Approximate Exponential Integrators for Time-Dependent Equation-of-Motion Coupled Cluster Theory. [PDF]

J Chem Theory Comput, 2023
Williams-Young DB, Yuwono SH, DePrince Iii AE, Yang C.   +3 more
europepmc   +1 more source

Model order reduction of linear time invariant systems [PDF]

Advances in Radio Science, 2008
This paper addresses issues related to the order reduction of systems with multiple input/output ports. The order reduction is divided up into two steps.
Lj. Radić-Weissenfeld, S. Ludwig, W. Mathis, W. John   +3 more
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