Results 61 to 70 of about 2,786 (218)

Monolithic Multi‐Level Overlapping Schwarz Preconditioners for Fluid Problems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT Additive overlapping Schwarz methods are iterative methods of the domain decomposition type for the solution of partial differential equations. Numerical and parallel scalability of these methods can be achieved by adding coarse levels. A successful coarse space, inspired by iterative substructuring, is the generalized Dryja–Smith–Widlund ...
Stephan Köhler, Oliver Rheinbach
wiley   +1 more source

Krylov Implicit Integration Factor Methods for Semilinear Fourth-Order Equations

Mathematics, 2017
Implicit integration factor (IIF) methods were developed for solving time-dependent stiff partial differential equations (PDEs) in literature. In [Jiang and Zhang, Journal of Computational Physics, 253 (2013) 368–388], IIF methods are designed to ...
Michael Machen, Yong-Tao Zhang
doaj   +1 more source

Correction Scheme for Molecular Total Energies From Quantum Phase Estimation Under Limited Qubit Resources

Journal of Computational Chemistry, Volume 47, Issue 14, 30 May 2026.
We propose a hybrid quantum and classical method for accurately evaluating molecular total energies with limited logical qubits. In our subspace dynamic correlation (SDC) method, electron correlation involving core and external orbitals that are not encoded on the quantum computer is recovered using an approximate wavefunction reconstructed on ...
Nobuki Inoue, Hisao Nakamura
wiley   +1 more source

Communication-Avoiding Krylov Subspace Methods in Theory and Practice [PDF]

, 2015
Advancements in the field of high-performance scientific computing are necessary to address the most important challenges we face in the 21st century. From physical modeling to large-scale data analysis, engineering efficient code at the extreme scale ...
Carson, Erin Claire
core  

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

Parametric Model Order Reduction by Box Clustering With Applications in Mechatronic Systems

International Journal for Numerical Methods in Engineering, Volume 127, Issue 10, 30 May 2026.
ABSTRACT High temperatures and structural deformations can compromise the functionality and reliability of new components for mechatronic systems. Therefore, high‐fidelity simulations (HFS) are employed during the design process, as they enable a detailed analysis of the thermal and structural behavior of the system.
Juan Angelo Vargas‐Fajardo, Diana Manvelyan‐Stroot, Catharina Czech, Pietro Botazzoli, Fabian Duddeck   +4 more
wiley   +1 more source

Explicit‐Implicit Material Point Method for Dense Granular Flows With a Novel Regularized µ(I) Model

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 7, Page 3256-3273, May 2026.
ABSTRACT The material point method (MPM) is widely employed to simulate granular flows. Although explicit time integration is favored in most current MPM implementations for its simplicity, it cannot rigorously incorporate the incompressible µ(I)‐rheology, an efficient model ubiquitously adopted in other particle‐based numerical methods. While operator‐
Hang Feng, Zhen‐Yu Yin
wiley   +1 more source

Biorthogonal rational Krylov subspace methods

, 2019
A general framework for oblique projections of non-Hermitian matrices onto rational Krylov subspaces is developed. To obtain this framework we revisit the classical rational Krylov subspace algorithm and prove that the projected matrix can be written ...
Van Buggenhout, Niel, Vandebril, Raf, Van Barel, Marc   +2 more
core   +1 more source