Results 81 to 90 of about 81,041 (236)

Universal gap growth for Lyapunov exponents of perturbed matrix products

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We study the quantitative simplicity of the Lyapunov spectrum of d$d$‐dimensional bounded matrix cocycles subjected to additive random perturbations. In dimensions 2 and 3, we establish explicit lower bounds on the gaps between consecutive Lyapunov exponents of the perturbed cocycle, depending only on the scale of the perturbation.
Jason Atnip, Gary Froyland, Cecilia González‐Tokman, Anthony Quas   +3 more
wiley   +1 more source

A Time-Segmented SAI-Krylov Subspace Approach for Large-Scale Transient Electromagnetic Forward Modeling

Applied Sciences
After nearly two decades of development, transient electromagnetic (TEM) 3D forward modeling technology has significantly improved both numerical precision and computational efficiency, primarily through advancements in mesh generation and the ...
Ya’nan Fan, Kailiang Lu, Juanjuan Li, Tianchi Fu   +3 more
doaj   +1 more source

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.
doaj   +1 more source

Basic principles and aims of model order reduction in compliant mechanisms [PDF]

Mechanical Sciences, 2011
Model order reduction appears to be beneficial for the synthesis and simulation of compliant mechanisms due to computational costs. Model order reduction is an established method in many technical fields for the approximation of large-scale linear time ...
M. Rösner, R. Lammering
doaj   +1 more source

Algebraic Multigrid Based Preconditioning Approaches for Generalized Continuum Models and Indirect Displacement Control Techniques

International Journal for Numerical Methods in Engineering, Volume 127, Issue 6, 30 March 2026.
ABSTRACT The contribution deals with algebraic multigrid (AMG) based preconditioning methods for the iterative solution of a coupled linear system of equations arising in numerical simulations of failure of quasi‐brittle materials using generalized continuum approaches.
Nasser Alkmim, Peter Gamnitzer, Alexander Dummer, Matthias Neuner, Günter Hofstetter   +4 more
wiley   +1 more source

Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand for composites and architected materials with heterogeneous microstructures.
Julius Herb, Felix Fritzen
wiley   +1 more source

All-at-Once Solution if Time-Dependent PDE-Constrained Optimisation Problems [PDF]

, 2010
Time-dependent partial differential equations (PDEs) play an important role in applied mathematics and many other areas of science. One-shot methods try to compute the solution to these problems in a single iteration that solves for all time-steps at the
Stoll, M., Wathen, A. J.
core   +1 more source

An adaptive scheme for the optimization of damping positions by decoupling controllability spaces in vibrational systems

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 3, March 2026.
Abstract In this work, the problem of optimizing damper positions in vibrational systems is investigated. The objective is to determine the positions of external dampers in such a way that the influence of the input on the output is minimized. The energy response serves as an optimization criterion, whose computation involves solving Lyapunov equations.
J. Przybilla, M. Ugrica Vukojević, N. Truhar, P. Benner   +3 more
wiley   +1 more source

Globally convergent techniques in nonlinear Newton-Krylov [PDF]

Some convergence theory is presented for nonlinear Krylov subspace methods. The basic idea of these methods is to use variants of Newton's iteration in conjunction with a Krylov subspace method for solving the Jacobian linear systems.
Brown, Peter N., Saad, Youcef
core   +1 more source

Krylov Subspace Methods for Model Reduction of Quadratic-Bilinear Systems

, 2016
The authors propose a two sided moment matching method for model reduction of quadratic-bilinear descriptor systems. The goal is to approximate some of the generalised transfer functions that appear in the input–output representation of the non-linear ...
M. I. Ahmad, P. Benner, I. Jaimoukha
semanticscholar   +1 more source