To conquer the instability, we establish a linear recursion that relates the projection subspace and the two-directional Krylov subspace. We then apply the two-directional Arnoldi process to stably compute an orthonormal basis of the projection subspace. The new parameterized model order reduction (PM...
Model-order reduction by dominant subspace projection: error bound, subspace computation, and circuit applications Balanced truncation is a well-known technique for model-order reduction with a known uniform reduction error bound. However, its practical application to l... G Shi,Shi, C.-J.R - ...
Krylov Subspace Methods for Linear Infinite-Dimensional Systems The well-known Krylov subspace methods for model order reduction of large-scale lumped parameter systems are generalized such that they can be applied dire... C Harkort,J Deutscher - 《IEEE Transactions on Automatic Control》 被引量: ...
Krylov model reduction methodology for articulated, multi-flexible body structures. Lee, Allan Y,Man Guy K. Proceedings of the IEEE Conference on Decision and Control . 1994A. Y. Lee, "A krylov model reduction methodology for articulated, multi-flexible body structures,," Tech. Rep., Jet ...
(s) through Krylov projection methods. Toward this end, we construct matrices V ∈ R n×r and Z ∈ R n×r that span certain Krylov subspaces with the property that Z T V = I r . The reduced order model G r (s) will then be obtained as A r = Z T AV, B r = Z T B, ...
Model reductionWe develop a new method to generate a first-order Krylov real subspace efficiently. The computational complexity can be reduced almost half compared with the existing methods. Using the new method, we propose two modified iterative algorithms for optimal H2 model reduction, which keep...
A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems dynamical systemsparameterized model reduction(Petrov--)Galerkin projectionKrylov subspace methodmomentsinterpolationproper orthogonal decomposition... P Benner,S Gugercin,K Willcox - 《Siam Review》 被引量: 296发表: 2015...
Recycling BiCG with an Application to Model Reduction Using BiCG to evaluate bilinear forms-for example, in quantum Monte Carlo (QMC) methods for electronic structure calculations-leads to a quadratic error ... K Ahuja,E De Sturler,S Gugercin,... - 《Siam Journal on Scientific Computing》 被...
A model reduction method adoping Krylov subspace as the projection subspace for composite structure was proposed. 针对弹性-粘弹性复合结构的动力学模型降阶问题,提出用Krylov子空间作为投影子空间进行模型减缩的方法。3) Krylov subspace Krylov 子空间4...
为了研究复杂地电模型的航空瞬变电磁法全波形响应特征,需要开发考虑发射波形的三维数值模拟算法。本研究基于非结构四面体网格和位移逆Krylov子空间(Shift-and-Invert Krylov,简称SAI Krylov)方法,采用基于电偶极子离散的场源处理方法模拟场源,在时间域进行计算实现了全波形航空瞬变电磁法矢量有限元三维数值模拟。使用均匀半...