Výsledky vyhledávání - Scientific Computing with specialization in Numerical Analysis

A structure preserving numerical method for the ideal compressible MHD system Autor Dao, Tuan Anh, Nazarov, Murtazo, Tomas, Ignacio

“…We introduce a novel structure-preserving method in order to approximate the compressible ideal Magnetohydrodynamics (MHD) equations. This technique addresses…”
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Numerical solution of quantum Landau-Lifshitz-Gilbert equation Autor Azimi-Mousolou, Vahid, Mirzaei, Davoud

“…)] which captures essential quantum behavior in many-body systems. In this work, we develop a robust numerical methodology tailored to this quantum LLG framework that not only…”
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Numerical integration of mechanical forces in center-based models for biological cell populations Autor Lötstedt, Per, Mathias, Sonja

“… by choosing the time steps adaptively in the numerical method and comparing five different integration methods. We investigate the gain in using single rate time stepping…”
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Fine spectral analysis of preconditioned matrices and matrix-sequences arising from stage-parallel implicit Runge-Kutta methods of arbitrarily high order Autor Dravins, Ivo, Serra-Capizzano, Stefano, Neytcheva, Maya

“…The use of high order fully implicit Runge--Kutta methods is of significant importance in the context of the numerical solution of transient partial differential equations, in particular when solving…”
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One or two frequencies? The Iterative Filtering answers Autor Cicone, Antonio, Serra-Capizzano, Stefano, Zhou, Haomin

“…The Iterative Filtering method is a technique aimed at the decomposition of non-stationary and non-linear signals into simple oscillatory components. This…”
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Projection based summation-by-parts methods, embeddings and the pseudoinverse Autor Olsson, Pelle, Eriksson, Gustav, Mattsson, Ken

“…In the present work, we demonstrate how the pseudoinverse concept from linear algebra can be used to represent and analyze the boundary conditions of linear…”
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A high-order residual-based viscosity finite element method for incompressible variable density flow Autor Lundgren, Lukas, Nazarov, Murtazo

“…In this paper, we introduce a high-order accurate finite element method for incompressible variable density flow. The method uses high-order Taylor-Hood…”
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Numerical simulation of the generalized modified Benjamin–Bona–Mahony equation using SBP-SAT in time Autor Kjelldahl, Vilma, Mattsson, Ken

“…In this paper we present high-order accurate finite difference approximations for solving the generalized modified Benjamin–Bona–Mahony (BBM) equation, a…”
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Finite element-based invariant-domain preserving approximation of hyperbolic systems: Beyond second-order accuracy in space Autor Guermond, Jean-Luc, Nazarov, Murtazo, Popov, Bojan

“…This paper proposes an invariant-domain preserving approximation technique for nonlinear conservation systems that is high-order accurate in space and time…”
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Stability estimates for radial basis function methods applied to linear scalar conservation laws Autor Tominec, Igor, Nazarov, Murtazo, Larsson, Elisabeth

“… Numerical experiments show an agreement with our theoretical observations. •Stability estimates for RBF methods discretizing linear conservation laws…”
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Acoustic shape optimization using energy stable curvilinear finite differences Autor Eriksson, Gustav, Stiernström, Vidar

“… Numerical experiments verify the accuracy of the finite difference…”
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An improved numerical scheme for coffee Extraction Yield evaluation Autor Egidi, Nadaniela, Giacomini, Josephin, Larsson, Elisabeth, Perticarini, Alessia

“…) equations associated with the percolation process for espresso extraction. Numerical methods for solving these equations are useful for many applications where we have chemical reactions and transport in a porous medium…”
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Asymptotic spectra of large (grid) graphs with a uniform local structure, Part II: Numerical applications Autor Adriani, Andrea, Bianchi, Davide, Ferrari, Paola, Serra-Capizzano, Stefano

“…In the current work we are concerned with sequences of graphs having a grid geometry, with a uniform local structure in a bounded domain Ω⊂Rd, d≥1. When…”
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Fast Toeplitz eigenvalue computations, joining interpolation-extrapolation matrix-less algorithms and simple-loop theory: The preconditioned setting Autor Bogoya, M., Serra-Capizzano, S., Vassalos, P.

“…Under appropriate technical assumptions, the simple-loop theory allows to derive various types of asymptotic expansions for the eigenvalues of Toeplitz…”
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The D-RBF-PU method for solving surface PDEs Autor Mir, Reyhaneh, Mirzaei, Davoud

“…In this paper a new direct RBF partition of unity (D-RBF-PU) method is developed for numerical solution of partial differential equations defined on smooth…”
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Boundary and interface methods for energy stable finite difference discretizations of the dynamic beam equation Autor Eriksson, Gustav, Werpers, Jonatan, Niemelä, David, Wik, Niklas, Zethrin, Valter, Mattsson, Ken

“… Numerical experiments show that all methods considered are similar…”
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A nodal based high order nonlinear stabilization for finite element approximation of Magnetohydrodynamics Autor Dao, Tuan Anh, Nazarov, Murtazo

“…We present a novel high-order nodal artificial viscosity approach designed for solving Magnetohydrodynamics (MHD) equations. Unlike conventional methods, our…”
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A radial basis function partition of unity method for steady flow simulations Autor Bernal, Francisco, Safdari-Vaighani, Ali, Larsson, Elisabeth

“…A methodology is presented for the numerical solution of nonlinear elliptic systems in unbounded domains, consisting of three elements…”
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A fully conservative and shift-invariant formulation for Galerkin discretizations of incompressible variable density flow Autor Lundgren, Lukas, Nazarov, Murtazo

“… Numerical tests validate the theory developed in this work. The new formulation shows superior performance compared to other formulations from the literature, both in terms of accuracy for smooth problems and in terms of robustness…”
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A Preconditioned MINRES Method for Optimal Control of Wave Equations and its Asymptotic Spectral Distribution Theory Autor Hon, Sean, Dong, Jiamei, Serra-Capizzano, Stefano

“…In this work, we propose a novel preconditioned Krylov subspace method for solvingan optimal control problem of wave equations, after explicitly identifying…”
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