Suchergebnisse - "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, 1873-5649Veröffentlicht: Elsevier Inc 01.02.2024Veröffentlicht in 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, 1090-2716Veröffentlicht: Elsevier Inc 01.03.2025Veröffentlicht in 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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A high-order residual-based viscosity finite element method for incompressible variable density flow
ISSN: 0021-9991, 1090-2716Veröffentlicht: 15.01.2024Veröffentlicht in 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, 0895-4798Veröffentlicht: 2024Veröffentlicht in 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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Finite element-based invariant-domain preserving approximation of hyperbolic systems: Beyond second-order accuracy in space
ISSN: 0045-7825, 1879-2138, 1879-2138Veröffentlicht: Elsevier B.V 01.01.2024Veröffentlicht in 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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A structure preserving numerical method for the ideal compressible MHD system
ISSN: 0021-9991, 1090-2716, 1090-2716Veröffentlicht: Elsevier Inc 01.07.2024Veröffentlicht in 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, 1873-5649Veröffentlicht: Elsevier Inc 15.01.2025Veröffentlicht in 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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Acoustic shape optimization using energy stable curvilinear finite differences
ISSN: 0021-9991, 1090-2716Veröffentlicht: Elsevier Inc 15.11.2024Veröffentlicht in 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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Numerical integration of mechanical forces in center-based models for biological cell populations
ISSN: 0096-3003, 1873-5649Veröffentlicht: Elsevier Inc 01.02.2025Veröffentlicht in 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, 1090-2716Veröffentlicht: Elsevier Inc 15.04.2023Veröffentlicht in 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, 1090-2716Veröffentlicht: Elsevier Inc 01.09.2024Veröffentlicht in 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, 1090-2716Veröffentlicht: Elsevier Inc 01.03.2023Veröffentlicht in 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, 1879-2944Veröffentlicht: Elsevier B.V 01.02.2026Veröffentlicht in 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, 1090-2716Veröffentlicht: Elsevier Inc 15.04.2024Veröffentlicht in 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, 1090-2716Veröffentlicht: Elsevier Inc 01.08.2024Veröffentlicht in 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, 1873-5649Veröffentlicht: 01.04.2024Veröffentlicht in 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, 1095-7162Veröffentlicht: 01.01.2023Veröffentlicht in 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, 1090-2716Veröffentlicht: Elsevier Inc 15.01.2023Veröffentlicht in 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, 1090-2716Veröffentlicht: Elsevier Inc 01.08.2023Veröffentlicht in 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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Numerical simulation of the generalized modified Benjamin–Bona–Mahony equation using SBP-SAT in time
ISSN: 0377-0427, 1879-1778Veröffentlicht: Elsevier B.V 15.05.2025Veröffentlicht in 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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