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1Academic Journal
Authors: Angelo A. Casulli, Igor Simunec
Source: SIAM Journal on Scientific Computing. 47:A1358-A1382
Subject Terms: 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
File Description: application/xml
Access URL: http://arxiv.org/abs/2403.04390
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2Academic Journal
Authors: Xiaobo Liu
Source: SIAM Journal on Matrix Analysis and Applications. 46:811-835
Subject Terms: Numerical computation of matrix exponential and similar matrix functions, mixed-precision algorithm, arbitrary-precision arithmetic, Roundoff error, Interval and finite arithmetic, matrix function, FOS: Mathematics, 15A16, 65F60, 65G50, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Paterson-Stockmeyer method, rounding error analysis, matrix polynomial
File Description: application/xml
Access URL: http://arxiv.org/abs/2312.17396
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3Academic Journal
Authors: Angelo A. Casulli, Daniel Kressner, Leonardo Robol
Source: SIAM Journal on Matrix Analysis and Applications. 45:2314-2338
Subject Terms: Numerical computation of matrix exponential and similar matrix functions, hierarchically semiseparable, FOS: Mathematics, 65F60, 15B99, functions of matrices, Special matrices, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), rational Krylov
File Description: application/xml; application/pdf
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4Academic Journal
Authors: Liu, Xinyu, Shen, Jie, Zhang, Xiangxiong
Source: Communications in Computational Physics. 36:1157-1185
Subject Terms: Numerical computation of matrix exponential and similar matrix functions, Finite difference methods for boundary value problems involving PDEs, FOS: Computer and information sciences, tensor matrix multiplication, rectangular domain, GPU, Parallel numerical computation, spectral element methods, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Direct numerical methods for linear systems and matrix inversion, direct solver, Computer Science - Distributed, Parallel, and Cluster Computing, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Spectral, collocation and related methods for boundary value problems involving PDEs, Mathematics - Numerical Analysis, Distributed, Parallel, and Cluster Computing (cs.DC), 3D Poisson equation, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
File Description: application/xml
Access URL: http://arxiv.org/abs/2310.00226
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5Academic Journal
Authors: Cassini, Fabio
Source: ETNA - Electronic Transactions on Numerical Analysis. 60:520-540
Subject Terms: Numerical computation of matrix exponential and similar matrix functions, exponential integrators, $\mu$-mode product, directional splitting, $\varphi$-functions, Kronecker sum, Turing patterns, Graphic Processing Units, Kronecker sum, Multilinear algebra, tensor calculus, \( \varphi \)-functions, FOS: Mathematics, graphic processing units, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), directional splitting, Turing patterns, exponential integrators, \( \mu \)-mode product
File Description: application/xml; application/pdf
Access URL: http://arxiv.org/abs/2310.07551
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6Academic Journal
Authors: Dongping Li, Yue Zhang, Xiuying Zhang
Source: Applied Numerical Mathematics. 182:330-343
Subject Terms: Numerical computation of matrix exponential and similar matrix functions, \( \varphi \)-functions, G.1.7, G.1.3, modified scaling and squaring method, Numerical Analysis (math.NA), Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, 65F30, 65F10, 65L05, 15A60, Lyapunov operator, FOS: Mathematics, matrix-valued exponential integrators, Mathematics - Numerical Analysis, 0101 mathematics
File Description: application/xml
Linked Full TextAccess URL: http://arxiv.org/abs/2204.12976
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7Academic Journal
Source: Results in Applied Mathematics, Vol 20, Iss, Pp 100401-(2023)
Subject Terms: Numerical computation of matrix exponential and similar matrix functions, low-rank approximation, 0209 industrial biotechnology, reduced order approximation, Numerical methods for low-rank matrix approximation, matrix compression, order reduction, 02 engineering and technology, Matrix exponential, Low-rank approximation, Proper orthogonal decomposition, Reduced order approximation, Numerical methods for initial value problems involving ordinary differential equations, matrix exponential, proper orthogonal decomposition, QA1-939, Order reduction, 0204 chemical engineering, Mathematics
File Description: application/xml
Linked Full TextAccess URL: https://zbmath.org/7786756
https://doi.org/10.1016/j.rinam.2023.100401
https://doaj.org/article/8a611a9c659e4003bd36a6433bac7062 -
8Academic Journal
Authors: Defez Candel, Emilio, Sastre, Jorge, Ibáñez González, Jacinto Javier, Peinado Pinilla, Jesús
Contributors: Escuela Técnica Superior de Ingeniería de Telecomunicación, Departamento de Sistemas Informáticos y Computación, Departamento de Matemática Aplicada, Departamento de Comunicaciones, Instituto Universitario de Telecomunicación y Aplicaciones Multimedia, Instituto Universitario de Matemática Multidisciplinar, Escuela Técnica Superior de Ingeniería de Caminos, Canales y Puertos, Escuela Técnica Superior de Ingeniería Informática, Instituto de Instrumentación para Imagen Molecular, Ministerio de Economía y Competitividad, Repositorio Institucional de la Universitat Politècnica de València Riunet
Source: RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Universitat Politècnica de València (UPV)
instnameSubject Terms: Numerical computation of matrix exponential and similar matrix functions, hyperbolic matrix functions, Hyperbolic matrix functions, Hermite matrix polynomial, 01 natural sciences, Initial-boundary value problems for second-order hyperbolic systems, Matrix exponential and similar functions of matrices, TEORIA DE LA SEÑAL Y COMUNICACIONES, CIENCIAS DE LA COMPUTACION E INTELIGENCIA ARTIFICIAL, Series expansion, 0101 mathematics, MATEMATICA APLICADA, LENGUAJES Y SISTEMAS INFORMATICOS, series expansion
File Description: application/pdf; application/xml
Linked Full TextAccess URL: https://riunet.upv.es/handle/10251/84125
http://www.sciencedirect.com/science/article/pii/S0307904X15005843
https://www.sciencedirect.com/science/article/abs/pii/S0307904X15005843
https://riunet.upv.es/handle/10251/84125
https://www.sciencedirect.com/science/article/pii/S0307904X15005843
https://hdl.handle.net/10251/84125
https://doi.org/10.1016/j.apm.2015.09.050 -
9Academic Journal
Authors: SEZER, MEHMET, ÇEVİK, MEHMET, Bahsi, M. Mustafa
Source: Applied Mathematics and Computation. 242:444-453
Subject Terms: Numerical computation of matrix exponential and similar matrix functions, 2. Zero hunger, exponential collocation method, 0209 industrial biotechnology, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Numerical methods for functional-differential equations, 02 engineering and technology, 0101 mathematics, time delay, single degree of freedom system, 01 natural sciences
File Description: application/xml
Linked Full TextAccess URL: https://zbmath.org/6574883
https://doi.org/10.1016/j.amc.2014.05.111
https://dblp.uni-trier.de/db/journals/amc/amc242.html#CevikBS14
https://www.sciencedirect.com/science/article/pii/S009630031400811X
http://www.sciencedirect.com/science/article/pii/S009630031400811X
https://avesis.deu.edu.tr/publication/details/13fac219-c556-4513-a215-aa2ac6cd0eea/oai -
10Academic Journal
Authors: Yuriy N. Belyayev
Source: Wave Motion. 99:102664
Subject Terms: Numerical computation of matrix exponential and similar matrix functions, Matrix exponential and similar functions of matrices, Wave scattering in solid mechanics, Numerical and other methods in solid mechanics, relative truncation error, 0103 physical sciences, diffraction of elastic waves, acoustic stresses, 01 natural sciences, Diffraction, scattering, matrix exponential
File Description: application/xml
Linked Full TextAccess URL: https://zbmath.org/7328388
https://doi.org/10.1016/j.wavemoti.2020.102664
https://www.sciencedirect.com/science/article/pii/S0165212520302948