A Low-Memory Lanczos Method with Rational Krylov Compression for Matrix Functions: A low-memory Lanczos method with rational Krylov compression for matrix functions

Συγγραφείς: Angelo A. Casulli, Igor Simunec

Πηγή: SIAM Journal on Scientific Computing. 47:A1358-A1382

Θεματικοί όροι: Numerical computation of matrix exponential and similar matrix functions, Computational methods for sparse matrices, matrix function, 65F60, 65F50, Mathematics - Numerical Analysis, rational Krylov, low memory

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2403.04390

Construction of hierarchically semiseparable matrix representation using adaptive Johnson–Lindenstrauss sketching: Construction of hierarchically semiseparable matrix representation using adaptive Johnson-Lindenstrauss sketching

Συγγραφείς: Yaniv, Yotam, Ghysels, Pieter, Malik, Osman Asif, Boateng, Henry A., Li, Xiaoye S.

Πηγή: Communications in Applied Mathematics and Computational Science. 20:67-117

Θεματικοί όροι: randomized sampling, Numerical linear algebra, Randomized algorithms, 0102 computer and information sciences, Numerical Analysis (math.NA), HSS matrix, 01 natural sciences, Special classes of linear operators, Johnson-Lindenstrauss sketching, adaptivity, Computational methods for sparse matrices, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2302.01977
https://zbmath.org/8034689
https://doi.org/10.2140/camcos.2025.20.67

Fast breakdown-free algorithm for computing the determinants of a generalized comrade matrix

Συγγραφείς: Fan, Xin, Jia, Ji-Teng

Πηγή: Journal of Mathematical Chemistry. 63:1189-1210

Θεματικοί όροι: Computational methods for sparse matrices, tridiagonal matrices, determinants, Determinants, permanents, traces, other special matrix functions, generalized comrade matrices, incomplete block-diagonalizations, breakdown-free algorithm, Numerical computation of determinants, comrade matrices

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8035157
https://doi.org/10.1007/s10910-025-01714-z

Solution Decomposition for the Nonlinear Poisson–Boltzmann Equation Using the Range-Separated Tensor Format: Solution decomposition for the nonlinear Poisson-Boltzmann equation using the range-separated tensor format

Συγγραφείς: Cleophas Kweyu, Venera Khoromskaia, Boris N. Khoromskij, Matthias Stein, Peter Benner

Πηγή: SIAM Journal on Scientific Computing. 47:B87-B107

Θεματικοί όροι: Iterative numerical methods for linear systems, Numerical linear algebra, G.1.8, G.1.3, 65F30, 65F50, 65N35, 65F10, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Electro- and magnetostatics, 01 natural sciences, Computational methods for sparse matrices, Multilinear algebra, tensor calculus, 0103 physical sciences, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Poisson-Boltzmann equation, low-rank tensor decompositions, range-separated tensor formats

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2109.14073
http://hdl.handle.net/21.11116/0000-0009-4AD3-6
http://hdl.handle.net/21.11116/0000-0009-4AD5-4

A Multigrid Reduction Framework for Domains with Symmetries: A multigrid reduction framework for domains with symmetries

Συγγραφείς: Alsalti Baldellou, Àdel, Janna, Carlo, Álvarez Farré, Xavier, Trias Miquel, Francesc Xavier

Πηγή: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Θεματικοί όροι: Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids, FOS: Computer and information sciences, Àrees temàtiques de la UPC::Física::Termodinàmica, Multigrid methods, domain decomposition for boundary value problems involving PDEs, Spatial symmetries, spatial symmetries, Navier-Stokes equations for incompressible viscous fluids, Parallel numerical computation, Numerical Analysis (math.NA), Computational methods for sparse matrices, Poisson's equation, Computer Science - Distributed, Parallel, and Cluster Computing, AMG, multigrid reduction, FOS: Mathematics, Multigrid reduction, Preconditioners for iterative methods, SpMM, Mathematics - Numerical Analysis, Distributed, Parallel, and Cluster Computing (cs.DC), 65F08, 65F50, 65N55, 65Y05

Περιγραφή αρχείου: application/pdf; application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2407.05930
https://hdl.handle.net/11577/3552922
https://doi.org/10.1137/24M1638513

Symbolic algorithm for solving SLAEs with multi-diagonal coefficient matrices

Συγγραφείς: Veneva Milena

Πηγή: Discrete and Continuous Models and Applied Computational Science, Vol 33, Iss 1, Pp 46-56 (2025)

Θεματικοί όροι: numerical analysis, computational methods for sparse matrices, numerical mathematical programming methods, complexity of numerical algorithms, Electronic computers. Computer science, QA75.5-76.95

Περιγραφή αρχείου: electronic resource

Relation: https://journals.rudn.ru/miph/article/viewFile/44732/24876; https://doaj.org/toc/2658-4670; https://doaj.org/toc/2658-7149

Σύνδεσμος πρόσβασης: https://doaj.org/article/f9e3c5410dc44f88b856ee50ce4a6554

A modified improved alternating positive semi-definite splitting preconditioner for double saddle point problems

Συγγραφείς: Jun Li, Shu-Xin Miao, Xiangtuan Xiong

Πηγή: Journal of Applied Mathematics and Computing. 70:5081-5101

Θεματικοί όροι: Iterative numerical methods for linear systems, Computational methods for sparse matrices, convergence, iteration method, GMRES method, Preconditioners for iterative methods, double saddle point problems, mixed Stokes/Darcy model, liquid crystal director model

Περιγραφή αρχείου: application/xml

Analysis of a generalized MASSOR method for saddle point problems

Συγγραφείς: Ma, Changfeng, Yu, Xiaojuan

Πηγή: Journal of Computational and Applied Mathematics. 467:116626

Θεματικοί όροι: Computational methods for sparse matrices, saddle point problems, GMASSOR method, Direct numerical methods for linear systems and matrix inversion, semi-convergence analysis, convergence analysis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8031371
https://doi.org/10.1016/j.cam.2025.116626

A Hybrid Collocation Method for Long‐Time Simulation of Heat Conduction in Anisotropic Functionally Graded Materials: A hybrid collocation method for long-time simulation of heat conduction in anisotropic functionally graded materials

Συγγραφείς: Lin Qiu, Fajie Wang, Wenzhen Qu, Ji Lin, Yan Gu, Qing‐Hua Qin

Πηγή: International Journal for Numerical Methods in Engineering. 126

Θεματικοί όροι: Iterative numerical methods for linear systems, anisotropic heat conduction, Numerical radial basis function approximation, Numerical computation of solutions to systems of equations, Diffusive and convective heat and mass transfer, heat flow, radial basis function collocation method, Finite difference methods applied to problems in solid mechanics, Computational methods for sparse matrices, Thermal effects in solid mechanics, Krylov deferred correction technique, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Spectral, collocation and related methods for boundary value problems involving PDEs, long-time simulation, PDEs in connection with mechanics of deformable solids, functionally graded materials, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7991422
https://doi.org/10.1002/nme.70002

A Grid-Overlay Finite Difference Method for Inhomogeneous Dirichlet Problems of the Fractional Laplacian on Arbitrary Bounded Domains: A grid-overlay finite difference method for inhomogeneous Dirichlet problems of the fractional Laplacian on arbitrary bounded domains

Συγγραφείς: Weizhang Huang, Jinye Shen

Πηγή: Journal of Scientific Computing. 102

Θεματικοί όροι: Finite difference methods for boundary value problems involving PDEs, overlay grid, finite difference, mesh adaptation, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, Fractional partial differential equations, Computational methods for sparse matrices, Error bounds for initial value and initial-boundary value problems involving PDEs, Fractional derivatives and integrals, inhomogeneous fractional Laplacian, Preconditioners for iterative methods, arbitrary domain, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Numerical methods for discrete and fast Fourier transforms

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7975323
https://doi.org/10.1007/s10915-024-02782-0

Hierarchical Interpolative Factorization for Self Green’s Function in 3D Modified Poisson-Boltzmann Equations: Hierarchical interpolative factorization for self Green's function in 3D modified Poisson-Boltzmann equations

Συγγραφείς: Yihui Tu, Zhenli Xu, Haizhao Yang

Πηγή: Communications on Applied Mathematics and Computation. 7:536-561

Θεματικοί όροι: Computational methods for sparse matrices, self Green's function, modified Poisson-Boltzmann (MPB) equations, hierarchical interpolative factorization, FOS: Physical sciences, Numerical solution of discretized equations for boundary value problems involving PDEs, Computational Physics (physics.comp-ph), linear scaling, Physics - Computational Physics, Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics, selected inversion

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2307.01060
https://zbmath.org/8034289
https://doi.org/10.1007/s42967-023-00352-z

Communication Avoiding Block Low-Rank Parallel Multifrontal Triangular Solve with Many Right-Hand Sides: Communication avoiding block low-rank parallel multifrontal triangular solve with many right-hand sides

Συγγραφείς: Amestoy, Patrick, Boiteau, Olivier, Buttari, Alfredo, Gerest, Matthieu, Jézéquel, Fabienne, L’excellent, Jean-Yves, Mary, Theo

Συνεισφορές: Mary, Theo, Mumps Technologies Lyon, EDF R&D (EDF R&D), EDF (EDF), Algorithmes Parallèles et Optimisation (IRIT-APO), Institut de recherche en informatique de Toulouse (IRIT), Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP), Université de Toulouse (UT)-Toulouse Mind & Brain Institut (TMBI), Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT), Performance et Qualité des Algorithmes Numériques (PEQUAN), LIP6, Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Université Paris-Panthéon-Assas

Πηγή: SIAM Journal on Matrix Analysis and Applications. 45:148-166

Θεματικοί όροι: block low-rank matrices, linear systems, Numerical methods for low-rank matrix approximation, matrix compression, [MATH] Mathematics [math], Parallel numerical computation, [INFO] Computer Science [cs], Direct numerical methods for linear systems and matrix inversion, communication avoiding algorithms, Computational methods for sparse matrices, LU factorization, low-rank approximations, numerical linear algebra, data sparse matrices, [INFO]Computer Science [cs], triangular solve, [MATH]Mathematics [math]

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://zbmath.org/7791523
https://doi.org/10.1137/23m1568600
https://hal.science/hal-04082415v1/document
https://doi.org/10.1137/23m1568600
https://hal.science/hal-04082415v1

An improved model order reduction method for dynamic analysis of large-scale structures with local nonlinearities

Συγγραφείς: Li, Wenxiong, Chen, Suiyin

Πηγή: Applied Mathematical Modelling. 120:786-811

Θεματικοί όροι: Computational methods for sparse matrices, model order reduction, iteration solution algorithm, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, dynamic analysis, local nonlinearity, time integration method, Orthogonalization in numerical linear algebra

Περιγραφή αρχείου: application/xml

An Incomplete Cholesky Preconditioner Based on Orthogonal Approximations: An incomplete Cholesky preconditioner based on orthogonal approximations

Συγγραφείς: Napov, Artem

Πηγή: SIAM Journal on Scientific Computing. 45:A729-A752

Θεματικοί όροι: orthogonal approximations, Computational methods for sparse matrices, preconditioner, Numerical computation of matrix norms, conditioning, scaling, low-rank approximations, breakdown-free incomplete Cholesky, Preconditioners for iterative methods, 0101 mathematics, conditioning analysis, 01 natural sciences, Analyse numérique, Programmation du calcul numérique, sparse incomplete Cholesky

Περιγραφή αρχείου: application/xml; 2 full-text file(s): application/pdf; application/pdf

Σύνδεσμος πρόσβασης: https://zbmath.org/7682229
https://doi.org/10.1137/21m1468334

Recursive Algorithms to Update a Numerical Basis Matrix of the Null Space of the Block Row, (Banded) Block Toeplitz, and Block Macaulay Matrix

Συγγραφείς: Vermeersch, Christof, De Moor, Bart

Πηγή: SIAM Journal on Scientific Computing

Θεματικοί όροι: Science & Technology, 0103 Numerical and Computational Mathematics, Mathematics, Applied, STADIUS-21-111, orthogonalization, Numerical & Computational Mathematics, computational methods for sparse matrices, REALIZATION, SYSTEMS, 0102 Applied Mathematics, Physical Sciences, 4903 Numerical and computational mathematics, 4901 Applied mathematics, block Toeplitz and block Macaulay matrices, Mathematics, 0802 Computation Theory and Mathematics

Σύνδεσμος πρόσβασης: https://lirias.kuleuven.be/handle/20.500.12942/719879
https://doi.org/10.1137/22m1495858

SlabLU: a two-level sparse direct solver for elliptic PDEs

Συγγραφείς: Anna Yesypenko, Per-Gunnar Martinsson

Πηγή: Advances in Computational Mathematics. 50

Θεματικοί όροι: Finite difference methods for boundary value problems involving PDEs, Numerical Analysis, Random matrices (algebraic aspects), GPU, Numerical methods for low-rank matrix approximation, matrix compression, high-order discretization, Parallel numerical computation, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Numerical solution of discretized equations for boundary value problems involving PDEs, Direct numerical methods for linear systems and matrix inversion, multifrontal solver, 01 natural sciences, Factorization of matrices, direct solver, Computational methods for sparse matrices, Numerical algorithms for specific classes of architectures, Boundary value problems for second-order elliptic equations, sparse direct solver, FOS: Mathematics, Spectral, collocation and related methods for boundary value problems involving PDEs, randomized linear algebra, Helmholtz equation, 0101 mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2211.07572

On Cvetković-Kostić-Varga type matrices

Συγγραφείς: Gao, Lei, Li, Chaoqian

Πηγή: ETNA - Electronic Transactions on Numerical Analysis. 58:244-270

Θεματικοί όροι: \(H\)-matrices, Computational methods for sparse matrices, \(S\)-sparse Ostrowski-Brauer type-I matrices, Special matrices, CKV-type matrices, \(S\)-sparse Ostrowski-Brauer type-II matrices

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7693751
https://doi.org/10.1553/etna_vol58s244

Numerical Solutions of the Electromagnetic Scattering by Overfilled Cavities with Inhomogeneous Anisotropic Media: Numerical solutions of the electromagnetic scattering by overfilled cavities with inhomogeneous anisotropic media

Συγγραφείς: Zhao, Meiling, He, Jiahui, Wang, Liqun

Πηγή: Communications in Computational Physics. 34:530-562

Θεματικοί όροι: Variational methods applied to problems in optics and electromagnetic theory, Computational methods for sparse matrices, Iterative numerical methods for linear systems, Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory, Maxwell equations, electromagnetic scattering, Petrov-Galerkin finite element interface method, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, inhomogeneous anisotropic media, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, overfilled cavity, Diffraction, scattering, non-body-fitted grids

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7784443
https://doi.org/10.4208/cicp.oa-2022-0104

Meshfree generalized multiscale exponential integration method for parabolic problems

Συγγραφείς: Djulustan Nikiforov, Leonardo A. Poveda, Dmitry Ammosov, Yesy Sarmiento, Juan Galvis

Πηγή: Journal of Computational and Applied Mathematics. 459:116367

Θεματικοί όροι: time integration, Flows in porous media, filtration, seepage, Numerical computation of matrix norms, conditioning, scaling, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, PDEs in connection with fluid mechanics, 01 natural sciences, Finite difference methods applied to problems in fluid mechanics, meshfree generalized multiscale finite element method, Computational methods for sparse matrices, exponential integrator, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, FOS: Mathematics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Semilinear parabolic equations, parabolic problems, Finite element methods applied to problems in fluid mechanics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2408.05005

Second‐order accurate hierarchical approximate factorizations for solving sparse linear systems: Second-order accurate hierarchical approximate factorizations for solving sparse linear systems

Συγγραφείς: Bazyli Klockiewicz, Léopold Cambier, Ryan Humble, Hamdi Tchelepi, Eric Darve

Πηγή: International Journal for Numerical Methods in Engineering. 123:5473-5499

Θεματικοί όροι: Computational methods for sparse matrices, preconditioner, second-order, Preconditioners for iterative methods, nested dissection, 0101 mathematics, Direct numerical methods for linear systems and matrix inversion, linear solver, low-rank, 01 natural sciences

Περιγραφή αρχείου: application/xml