Results 81 to 90 of about 1,981 (210)
Journal of Advances in Modeling Earth Systems, Volume 17, Issue 7, July 2025.Abstract This paper presents a multiscale modeling framework (MMF) to model moist atmospheric limited‐area weather. The MMF resolves large‐scale convection using a coarse grid while simultaneously resolving local features through numerous fine local grids and coupling them seamlessly.
Soonpil Kang +3 more
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A Time‐Adaptive Multirate Quasi‐Newton Waveform Iteration for Coupled Problems
International Journal for Numerical Methods in Engineering, Volume 126, Issue 12, 30 June 2025.ABSTRACT We consider waveform iterations for dynamical coupled problems, or more specifically, PDEs that interact through a lower‐dimensional interface. We want to allow for the reuse of existing codes for the subproblems, called a partitioned approach.
Niklas Kotarsky, Philipp Birken
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EngIn this work, we proposed a dynamic inverse solution with spatio-temporal constraints of the nonlinear heat diffusion problem in 1D and 2D based on a regularized Gauss–Newton and Krylov subspace with a preconditioner.
Luis Fernando Alvarez-Velasquez +1 more
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Journal of Applied Mathematics, 2014 Continuing from the works of Li et al. (2014), Li (2007), and Kincaid et al. (2000), we present more generalizations and modifications of iterative methods for solving large sparse symmetric and nonsymmetric indefinite systems of linear equations.
Jen-Yuan Chen +2 more
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پژوهشهای ریاضی, 2019 Introduction Fractional differential equations (FDEs) have attracted much attention and have been widely used in the fields of finance, physics, image processing, and biology, etc.
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doaj
Steepest descent preconditioning for nonlinear GMRES optimization [PDF]
Numerical Linear Algebra with Applications, 2012 SUMMARYSteepest descent preconditioning is considered for the recently proposed nonlinear generalized minimal residual (N‐GMRES) optimization algorithm for unconstrained nonlinear optimization. Two steepest descent preconditioning variants are proposed. The first employs a line search, whereas the second employs a predefined small step. A simple global
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Adaptive metric-based multigrid for a Poisson problem with discontinuous coefficients*, **
ESAIM: Proceedings and Surveys, 2014 In order to solve the linear partial differential equation Au = f, we combine two methods: Full-Multigrid method and Hessian-based mesh adaptation.
Brèthes Gautier
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An Optimized Schwarz Method for the Optical Response Model Discretized by HDG Method. [PDF]
Entropy (Basel), 2023 Chen JF, Gu XM, Li L, Zhou P.
europepmc +1 more source
Extending Elman's bound for GMRES
Linear Algebra and its ApplicationsIf the numerical range of a matrix is contained in the right half of the complex plane, the GMRES algorithm for solving linear systems will reduce the norm of the residual at every iteration. In his Ph.D. dissertation, Howard Elman derived a bound that guarantees convergence. When the numerical range contains the origin, GMRES need not make progress at
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Efficient Numerical Schemes for a Heterogeneous Reaction–Diffusion System with Applications
MathematicsIn this study, a class of nonlinear heterogeneous reaction–diffusion system (RDS) has been considered that arises in modeling epidemiological interactions, environmental sciences, and chemical and ecological systems.
Samima Akhter +3 more
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