Results 71 to 80 of about 16,256 (203)
Applied SciencesAfter 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 +3 more
doaj +1 more source
Model Reduksi Pada Parameter Markov [PDF]
, 2011 As well known that the model reduction for large-scale linear dynamical systems based on Krylov subspace is called moments matching. In this method, one or more interpolation points is needed to construct a certain Krylov subspace.
Farikhin, F. (Farikhin)
core
, 2013 A novel linear-algebraic algorithm, multiple Arnoldi method, was developed in an interdisciplinary study between physics and applied mathematics and realized one-hundred-million-atom (100-nm-scale) electronic state calculations on the K computer.
Akiyama, Yohei +2 more
core +1 more source
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 +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
Preconditioned iterative solution of the 2D Helmholtz equation [PDF]
, 2002 Using a finite element method to solve the Helmholtz equation leads to a sparse system of equations which in three dimensions is too large to solve directly.
Giles, M. B., Laird, Alistair L.
core
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 +3 more
wiley +1 more source
A Jacobian‐Free Newton‐Krylov Method for Cell‐Centred Finite Volume Solid Mechanics
International Journal for Numerical Methods in Engineering, Volume 127, Issue 3, 15 February 2026.ABSTRACT This study proposes a Jacobian‐free Newton‐Krylov approach for finite‐volume solid mechanics. Traditional Newton‐based approaches require explicit Jacobian matrix formation and storage, which can be computationally expensive and memory‐intensive.
Philip Cardiff +3 more
wiley +1 more source
Developing Hessian–Free Second–Order Adversarial Examples for Adversarial Training
International Journal of Applied Mathematics and Computer ScienceRecent studies show that deep neural networks (DNNs) are extremely vulnerable to elaborately designed adversarial examples. Adversarial training, which uses adversarial examples as training data, has been proven to be one of the most effective methods of
Qian Yaguan +5 more
doaj +1 more source
AlgorithmsGMRES 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 +2 more
doaj +1 more source