Results 61 to 70 of about 3,479 (214)
Iterative Krylov Subspace Methods for Linear Port‐Hamiltonian Systems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT In this work, we present a structure‐preserving Krylov subspace iteration scheme for solving the equation systems that arise from the Gauss integration of linear energy‐conserving and dissipative differential systems (e.g., Poisson systems, gradient systems, and port‐Hamiltonian systems).
Stefan Maier, Nicole Marheineke
wiley +1 more source
A Randomized Q-OR Krylov Subspace Method for Solving Nonsymmetric Linear Systems
MathematicsThe most popular iterative methods for solving nonsymmetric linear systems are Krylov methods. Recently, an optimal Quasi-ORthogonal (Q-OR) method was introduced, which yields the same residual norms as the Generalized Minimum Residual (GMRES) method ...
Gérard Meurant
doaj +1 more source
Comparison of different iterative schemes for ISPH based on Rankine source solution
International Journal of Naval Architecture and Ocean Engineering, 2017 Smoothed Particle Hydrodynamics (SPH) method has a good adaptability for the simulation of free surface flow problems. There are two forms of SPH. One is weak compressible SPH and the other one is incompressible SPH (ISPH).
Xing Zheng, Qing-wei Ma, Wen-yang Duan
doaj +1 more source
On numerical solution of nonlinear parabolic multicomponent diffusion-reaction problems
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 This work continues our previous analysis concerning the numerical solution of the multi-component mass transfer equations. The present test problems are two-dimensional, parabolic, non-linear, diffusion- reaction equations. An implicit finite difference
Juncu Gh., Popa C., Sarbu Gh.
doaj +1 more source
Toward a Mixed‐Precision ADI Method for Lyapunov Equations
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We apply mixed‐precision to the low‐rank Lyapunov ADI (LR‐ADI) by performing certain aspects of the algorithm in a lower working precision. Namely, we accumulate the overall solution, solve the linear systems comprising the ADI iteration, and store the inner low‐rank factors of the residuals in various combinations of IEEE 754 single and ...
Jonas Schulze, Jens Saak
wiley +1 more source
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
The Upper Bound for GMRES on Normal Tridiagonal Toeplitz Linear System
Journal of Mathematical Extension, 2015 The Generalized Minimal Residual method (GMRES) is often used to solve a large and sparse system Ax = b. This paper establishes error bound for residuals of GMRES on solving an N × N normal tridiagonal Toeplitz linear system.
R. Doostaki∗, A. Hadian, S. Azizi
doaj
Water Resources Research, Volume 62, Issue 6, June 2026.Abstract Hydrodynamics characteristics in the mainstem–tributary confluence profoundly affect the local environment and ecology. Thermal stratification widely occurs in large reservoirs, and the need to investigate hydrodynamics of mainstem–tributary confluences is urgent. Moreover, selective withdrawal is often used to regulate the outflow temperature,
Wei He +8 more
wiley +1 more source
气体物理Although high-order unstructured grid finite volume methods based on variational reconstruction offer advantages like high accuracy and computational efficiency, their iterative convergence robustness and speed significantly lag behind second-order ...
Hanyu ZHOU, Yuxin REN
doaj +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