Asymptotic spectral properties and preconditioning of an approximated nonlocal Helmholtz equation with fractional Laplacian and variable coefficient wave number μ

Authors: Adriani, Andrea, Sormani, Rosita L, Tablino-Possio, Cristina, Krause, Rolf, Serra, Stefano

Source: Linear Algebra and its Applications. 708:551-584

Subject Terms: Fractional derivatives, Helmholtz equations, Singular value and eigenvalue asymptotics, Generalized locally Toeplitz sequences, Spectral symbol, Preconditioning, Clustering, Beräkningsvetenskap med inriktning mot numerisk analys, Scientific Computing with specialization in Numerical Analysis

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https://doi.org/10.1016/j.laa.2024.12.015

Numerical solution of quantum Landau-Lifshitz-Gilbert equation

Authors: Azimi Mousolou, Vahid, Mirzaei, Davoud

Source: Computer Physics Communications. 319

Subject Terms: Quantum Landau-Lifshitz-Gilbert equation, Many-body quantum system, Quantum correlation and entanglement, Runge-Kutta methods, Beräkningsvetenskap med inriktning mot numerisk analys, Scientific Computing with specialization in Numerical Analysis, Fysik, Physics

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https://doi.org/10.1016/j.cpc.2025.109911

Projection based summation-by-parts methods, embeddings and the pseudoinverse

Authors: Olsson, Pelle, Eriksson, Gustav, Mattsson, Ken, 1970

Source: Journal of Computational Physics. 524

Subject Terms: Finite difference methods, High-order accuracy, Stability, Boundary treatment, Projection method, Beräkningsvetenskap med inriktning mot numerisk analys, Scientific Computing with specialization in Numerical Analysis

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https://doi.org/10.1016/j.jcp.2024.113689

Matrix-less spectral approximation for large structured matrices

Authors: Barbarino, Giovanni, Claesson, Melker, Ekström, Sven-Erik, Doctor, 1977, Garoni, Carlo, Meadon, David, Speleers, Hendrik

Source: BIT Numerical Mathematics. 65(1)

Subject Terms: Spectral approximation, Structured matrices, Discretization matrices, Generalized locally Toeplitz sequences, Eigenvalue expansion, Interpolation and extrapolation, Beräkningsvetenskap med inriktning mot numerisk analys, Scientific Computing with specialization in Numerical Analysis

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https://doi.org/10.1007/s10543-024-01041-w

Numerical simulation of the generalized modified Benjamin-Bona-Mahony equation using SBP-SAT in time

Authors: Kjelldahl, Vilma, Mattsson, Ken, 1970

Source: Journal of Computational and Applied Mathematics. 459

Subject Terms: Benjamin-Bona-Mahony equation, Non-linear, Initial boundary value problem, Summation-by-parts, Simultaneous-approximation-terms, Time integration, Boundary conditions, Beräkningsvetenskap med inriktning mot numerisk analys, Scientific Computing with specialization in Numerical Analysis

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https://doi.org/10.1016/j.cam.2024.116377

Numerical integration of mechanical forces in center-based models for biological cell populations

Authors: Lötstedt, Per, Mathias, Sonja

Source: eSSENCE - An eScience Collaboration Applied Mathematics and Computation. 486

Subject Terms: Center-based model, Time integration, Adaptivity, Gradient system, Numerical methods, Beräkningsvetenskap med inriktning mot numerisk analys, Scientific Computing with specialization in Numerical Analysis

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https://doi.org/10.1016/j.amc.2024.129069

Stability estimates for radial basis function methods applied to linear scalar conservation laws

Authors: Tominec, Igor, Nazarov, Murtazo, Larsson, Elisabeth, 1971

Source: Applied Mathematics and Computation. 485

Subject Terms: Radial basis function, Stability, Hyperbolic PDE, Kansa, RBF-PUM, RBF-FD, Beräkningsvetenskap med inriktning mot numerisk analys, Scientific Computing with specialization in Numerical Analysis

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https://doi.org/10.1016/j.amc.2024.129020

Approximating Moving Point Sources in Hyperbolic Partial Differential Equations

Authors: Ljungberg Rydin, Ylva, 1992, Almquist, Martin

Source: Journal of Scientific Computing. 103(2)

Subject Terms: Finite difference methods, Moving point source, Discrete delta distribution, Beräkningsvetenskap med inriktning mot numerisk analys, Scientific Computing with specialization in Numerical Analysis

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https://doi.org/10.1007/s10915-025-02834-z

A bound preserving cut discontinuous Galerkin method for one dimensional hyperbolic conservation laws

Authors: Fu, Pei, Kreiss, Gunilla, Zahedi, Sara

Source: ESAIM. 58(5):1651-1680

Subject Terms: Hyperbolic conservation laws, discontinuous Galerkin method, cut elements, satisfying maximum principle, positivity preserving, Beräkningsvetenskap med inriktning mot numerisk analys, Scientific Computing with specialization in Numerical Analysis

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https://doi.org/10.1051/m2an/2024042

GLT sequences and automatic computation of the symbol

Authors: Sarathkumar, N. S., Serra-Capizzano, Stefano

Source: Linear Algebra and its Applications. 697:468-486

Subject Terms: Singular value and eigenvalue, asymptotics, Generalized Locally Toeplitz, sequences, Spectral symbol, Beräkningsvetenskap med inriktning mot numerisk analys, Scientific Computing with specialization in Numerical Analysis

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https://doi.org/10.1016/j.laa.2024.03.024

Eigenvalue superposition for Toeplitz matrix-sequences with matrix order dependent symbols

Authors: Bogoya, M., Grudsky, S. M., Serra-Capizzano, Stefano

Source: Linear Algebra and its Applications. 697:487-527

Subject Terms: Eigenvalue expansion, Toeplitz matrix, Asymptotic expansion, Matrix-less method, Beräkningsvetenskap med inriktning mot numerisk analys, Scientific Computing with specialization in Numerical Analysis

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https://doi.org/10.1016/j.laa.2024.04.019

The β maps: Strong clustering and distribution results on the complex unit circle

Authors: Schiavoni-Piazza, Alec J. A., Meadon, David, Serra, Stefano

Source: Linear Algebra and its Applications. 697:365-383

Subject Terms: beta maps, Eigenvalue clustering, Toeplitz matrix and matrix-sequence, Beräkningsvetenskap med inriktning mot numerisk analys, Scientific Computing with specialization in Numerical Analysis

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https://doi.org/10.1016/j.laa.2024.05.014

Accuracy analysis for explicit-implicit finite volume schemes on cut cell meshes

Authors: May, Sandra, Laakmann, Fabian

Source: Communications in Applied Mathematics and Computational Science. 6(4):2239-2264

Subject Terms: Beräkningsvetenskap med inriktning mot numerisk analys, Scientific Computing with specialization in Numerical Analysis

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https://doi.org/10.1007/s42967-023-00345-y

Spectral and norm estimates for matrix-sequences arising from a finite difference approximation of elliptic operators

Authors: Coco, Armando, Ekström, Sven-Erik, Doctor, 1977, Russo, Giovanni, Serra-Capizzano, Stefano, Stissi, Santina Chiara

Source: Linear Algebra and its Applications. 667:10-43

Subject Terms: Toeplitz matrix, Generating function and spectral symbol, Approximation of differential operators, Beräkningsvetenskap med inriktning mot numerisk analys, Scientific Computing with specialization in Numerical Analysis

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https://doi.org/10.1016/j.laa.2023.03.005

A note on the spectral analysis of matrix sequences via GLT momentary symbols: from all-at-once solution of parabolic problems to distributed fractional order matrices

Authors: Bolten, Matthias, Ekström, Sven-Erik, Doctor, 1977, Furci, Isabella, Serra-Capizzano, Stefano

Source: Electronic Transactions on Numerical Analysis. 58:136-163

Subject Terms: Toeplitz matrices, asymptotic distribution of eigenvalues and singular values, numerical solution of discretized equations for boundary value problems involving PDEs, fractional differential equations, Beräkningsvetenskap med inriktning mot numerisk analys, Scientific Computing with specialization in Numerical Analysis

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https://doi.org/10.1553/etna_vol58s136

A fault detection method based on partition of unity and kernel approximation

Authors: Mirzaei, Davoud, Soodbakhsh, Navid

Source: Numerical Algorithms. 93(4):1759-1794

Subject Terms: Partition of unity, Radial basis functions, Polyharmonic splines, Fault curves, Fault points, Principal component regression, Beräkningsvetenskap med inriktning mot numerisk analys, Scientific Computing with specialization in Numerical Analysis

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https://doi.org/10.1007/s11075-022-01488-4

Stage-parallel fully implicit Runge-Kutta implementations with optimal multilevel preconditioners at the scaling limit

Authors: Munch, Peter, Dravins, Ivo, 1991, Kronbichler, Martin, Neytcheva, Maya, Dr, 1956

Source: eSSENCE - An eScience Collaboration SIAM Journal on Scientific Computing. 46(2):71-96

Subject Terms: implicit Runge–Kutta methods, Radau quadrature, stage-parallel preconditioning, finite element methods, matrix-free methods, geometric multigrid, massively parallel, Beräkningsvetenskap med inriktning mot numerisk analys, Scientific Computing with specialization in Numerical Analysis

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https://doi.org/10.1137/22M1503270

Flipped structured matrix-sequences in image deblurring with reflective and anti-reflective boundary conditions

Authors: Ferrari, Paola, Furci, Isabella, Serra, Stefano

Source: Numerical Algorithms. 100(1):277-309

Subject Terms: Krylov iterative methods, Ill-posedness and regularization problems, Eigenvalue and singular value distributions, Imaging and signal processing, Reflective and anti-reflective BCs, Beräkningsvetenskap med inriktning mot numerisk analys, Scientific Computing with specialization in Numerical Analysis

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Generalized Locally Toeplitz matrix-sequences and approximated PDEs on submanifolds: the flat case

Authors: Adriani, Andrea, Semplice, Matteo, Serra, Stefano

Source: Linear and multilinear algebra. 73(9):1902-1924

Subject Terms: Toeplitz sequences, discretization of PDEs, spectral distribution of matrix-sequences, Beräkningsvetenskap med inriktning mot numerisk analys, Scientific Computing with specialization in Numerical Analysis

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An improved numerical scheme for coffee Extraction Yield evaluation

Authors: Egidi, Nadaniela, Giacomini, Josephin, Larsson, Elisabeth, 1971, Perticarini, Alessia

Source: eSSENCE - An eScience Collaboration Chaos, Solitons & Fractals. 188

Subject Terms: Advection-diffusion-reaction equation, Radial basis functions, Coffee percolation, Collocation method, Beräkningsvetenskap med inriktning mot numerisk analys, Scientific Computing with specialization in Numerical Analysis

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https://doi.org/10.1016/j.chaos.2024.115625