Results 111 to 120 of about 81,041 (236)

A Fully Implicit Coupled Scheme for Mixed Elastohydrodynamic Problems on Co-Allocated Grids

Lubricants
In the modeling of elastohydrodynamic lubrication problems considering mixed friction, strongly coupled dependencies occur due to piezo-viscous effects and asperities, which can make a numerical solution exceptionally difficult.
Sören Wettmarshausen, Hubert Schwarze
doaj   +1 more source

Application of vector-valued rational approximations to the matrix eigenvalue problem and connections with Krylov subspace methods [PDF]

Let F(z) be a vectored-valued function F: C approaches C sup N, which is analytic at z=0 and meromorphic in a neighborhood of z=0, and let its Maclaurin series be given.
Sidi, Avram
core   +1 more source

A Comprehensive Review of Matrix Equations in Dynamical Systems and Control Theory

Journal of Applied Mathematics
Matrix equations are of foundational importance in the modeling, investigation, and control of dynamical systems. This review discusses various classes of matrix equations, their solutions, and their relevance in control theory and dynamical systems. Key
Chacha Stephen Chacha
doaj   +1 more source

Data-Driven Optimization of the Gamma Parameter in Rational Krylov Subspace Methods for Efficient Transient Simulation of Power Delivery Networks

IEEE Access
Accurate time-domain simulation of power delivery networks (PDNs) is critical for analyzing transient behaviors in complex circuits. The combination of the matrix exponential (MEXP) method and the rational Krylov subspace method (RKSM) provides a robust ...
Gul Karaduman
doaj   +1 more source

Bernoulli Collocation Method for Solving Linear Multidimensional Diffusion and Wave Equations with Dirichlet Boundary Conditions

Advances in Mathematical Physics, 2017
A numerical approach is proposed for solving multidimensional parabolic diffusion and hyperbolic wave equations subject to the appropriate initial and boundary conditions. The considered numerical solutions of the these equations are considered as linear
Bashar Zogheib, Emran Tohidi, Stanford Shateyi   +2 more
doaj   +1 more source

Integral equation analysis of complex (M)MIC-structures with optimized system matrix decomposition and novel quadrature techniques [PDF]

Advances in Radio Science, 2004
Using integral equation methods for the analysis of complex (M)MIC structures, the computation and storage effort for the solution of the linear systems of equations with their fully populated matrices still forms the main bottleneck.
T. Vaupel, V. Hansen
doaj  

Model-order-reduced spectral-element method for high-accuracy and fast 3-D transient electromagnetic forward modeling with SAI-Krylov

Scientific Reports
With the increasing demand for both accuracy and efficiency in transient electromagnetic (TEM) simulations, conventional 3-D forward modeling methods face growing challenges.
Ya’nan Fan, Kailiang Lu, Yuandi Huang, Jianhua Yue, Qinrun Yang   +4 more
doaj   +1 more source

Adaptive Solution of Infinite Linear Systems by Krylov Subspace Methods [PDF]

In this paper we consider the problem of approximating the solution of infinite linear systems, finitely expressed by a sparse coefficient matrix. We analyze various algorithms based on Krylov subspace methods embedded in an adaptive enlargement scheme ...
Favati, Paola, Lotti, Grazia, Menchi, Ornella, Romani, Francesco   +3 more
core  

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

Krylov subspace methods for computing hydrodynamic interactions in brownian dynamics simulations. [PDF]

J Chem Phys, 2012
Ando T, Chow E, Saad Y, Skolnick J.
europepmc   +1 more source