Výsledky vyhledávání - "Scientific Computing with specialization in Numerical Analysis"
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1
One or two frequencies? The Iterative Filtering answers
ISSN: 0096-3003, 1873-5649, 1873-5649Vydáno: Elsevier Inc 01.02.2024Vydáno v Applied mathematics and computation (01.02.2024)“…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
ISSN: 0021-9991, 1090-2716Vydáno: Elsevier Inc 01.03.2025Vydáno v Journal of computational physics (01.03.2025)“…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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3
A high-order residual-based viscosity finite element method for incompressible variable density flow
ISSN: 0021-9991, 1090-2716Vydáno: 15.01.2024Vydáno v Journal of computational physics (15.01.2024)“…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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4
Fine spectral analysis of preconditioned matrices and matrix-sequences arising from stage-parallel implicit Runge-Kutta methods of arbitrarily high order
ISSN: 1095-7162, 0895-4798Vydáno: 2024Vydáno v SIAM journal on matrix analysis and applications (2024)“…The use of high order fully implicit Runge--Kutta methods is of significant importance in the context of the numerical solution of transient partial…”
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5
Finite element-based invariant-domain preserving approximation of hyperbolic systems: Beyond second-order accuracy in space
ISSN: 0045-7825, 1879-2138, 1879-2138Vydáno: Elsevier B.V 01.01.2024Vydáno v Computer methods in applied mechanics and engineering (01.01.2024)“…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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6
A structure preserving numerical method for the ideal compressible MHD system
ISSN: 0021-9991, 1090-2716, 1090-2716Vydáno: Elsevier Inc 01.07.2024Vydáno v Journal of computational physics (01.07.2024)“…We introduce a novel structure-preserving method in order to approximate the compressible ideal Magnetohydrodynamics (MHD) equations. This technique addresses…”
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Stability estimates for radial basis function methods applied to linear scalar conservation laws
ISSN: 0096-3003, 1873-5649Vydáno: Elsevier Inc 15.01.2025Vydáno v Applied mathematics and computation (15.01.2025)“…We derive stability estimates for three commonly used radial basis function (RBF) methods to solve hyperbolic time-dependent PDEs: the RBF generated finite…”
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8
Acoustic shape optimization using energy stable curvilinear finite differences
ISSN: 0021-9991, 1090-2716Vydáno: Elsevier Inc 15.11.2024Vydáno v Journal of computational physics (15.11.2024)“…A gradient-based method for shape optimization problems constrained by the acoustic wave equation is presented. The method makes use of high-order accurate…”
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9
Numerical integration of mechanical forces in center-based models for biological cell populations
ISSN: 0096-3003, 1873-5649Vydáno: Elsevier Inc 01.02.2025Vydáno v Applied mathematics and computation (01.02.2025)“…Center-based models are used to simulate the mechanical behavior of biological cells during embryonic development or cancer growth. To allow for the simulation…”
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10
The D-RBF-PU method for solving surface PDEs
ISSN: 0021-9991, 1090-2716, 1090-2716Vydáno: Elsevier Inc 15.04.2023Vydáno v Journal of computational physics (15.04.2023)“…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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A nodal based high order nonlinear stabilization for finite element approximation of Magnetohydrodynamics
ISSN: 0021-9991, 1090-2716, 1090-2716Vydáno: Elsevier Inc 01.09.2024Vydáno v Journal of computational physics (01.09.2024)“…We present a novel high-order nodal artificial viscosity approach designed for solving Magnetohydrodynamics (MHD) equations. Unlike conventional methods, our…”
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12
Boundary and interface methods for energy stable finite difference discretizations of the dynamic beam equation
ISSN: 0021-9991, 1090-2716, 1090-2716Vydáno: Elsevier Inc 01.03.2023Vydáno v Journal of computational physics (01.03.2023)“…We consider energy stable summation by parts finite difference methods (SBP-FD) for the homogeneous and piecewise homogeneous dynamic beam equation (DBE)…”
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Numerical solution of quantum Landau-Lifshitz-Gilbert equation
ISSN: 0010-4655, 1879-2944Vydáno: Elsevier B.V 01.02.2026Vydáno v Computer physics communications (01.02.2026)“…The classical Landau-Lifshitz-Gilbert (LLG) equation has long served as a cornerstone for modeling magnetization dynamics in magnetic systems, yet its…”
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A radial basis function partition of unity method for steady flow simulations
ISSN: 0021-9991, 1090-2716, 1090-2716Vydáno: Elsevier Inc 15.04.2024Vydáno v Journal of computational physics (15.04.2024)“…A methodology is presented for the numerical solution of nonlinear elliptic systems in unbounded domains, consisting of three elements. First, the problem is…”
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A fully conservative and shift-invariant formulation for Galerkin discretizations of incompressible variable density flow
ISSN: 0021-9991, 1090-2716Vydáno: Elsevier Inc 01.08.2024Vydáno v Journal of computational physics (01.08.2024)“…This paper introduces a formulation of the variable density incompressible Navier-Stokes equations by modifying the nonlinear terms in a consistent way. For…”
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Fast Toeplitz eigenvalue computations, joining interpolation-extrapolation matrix-less algorithms and simple-loop theory: The preconditioned setting
ISSN: 0096-3003, 1873-5649Vydáno: 01.04.2024Vydáno v Applied mathematics and computation (01.04.2024)“…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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A Preconditioned MINRES Method for Optimal Control of Wave Equations and its Asymptotic Spectral Distribution Theory
ISSN: 0895-4798, 1095-7162, 1095-7162Vydáno: 01.01.2023Vydáno v SIAM journal on matrix analysis and applications (01.01.2023)“…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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Implicit summation by parts operators for finite difference approximations of first and second derivatives
ISSN: 0021-9991, 1090-2716, 1090-2716Vydáno: Elsevier Inc 15.01.2023Vydáno v Journal of computational physics (15.01.2023)“…•Implicit first and second derivative SBP operators are presented.•Spectral-like characteristics are achieved.•Comparisons to corresponding explicit SBP…”
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A finite element based heterogeneous multiscale method for the Landau-Lifshitz equation
ISSN: 0021-9991, 1090-2716, 1090-2716Vydáno: Elsevier Inc 01.08.2023Vydáno v Journal of computational physics (01.08.2023)“…We present a Heterogeneous Multiscale Method for the Landau-Lifshitz equation with a highly oscillatory diffusion coefficient, a simple model for a…”
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20
Numerical simulation of the generalized modified Benjamin–Bona–Mahony equation using SBP-SAT in time
ISSN: 0377-0427, 1879-1778Vydáno: Elsevier B.V 15.05.2025Vydáno v Journal of computational and applied mathematics (15.05.2025)“…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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