Search Results - Spectral methods vectorization algorithms domain decomposition

Effective numerical algorithms for the solution of algebraic systems arising in spectral methods

Authors: C. CARLENZOLI GERVASIO, Paola

Source: Applied Numerical Mathematics. 10:87-113

Subject Terms: Iterative numerical methods for linear systems, Multigrid methods, domain decomposition for boundary value problems involving PDEs, IBM 3090/200S VF, CGS method, Richarson method, comparisons, CRAY Y-MP 8/432, iteration, unsymmetric spectral matrices, 01 natural sciences, domain decomposition, NCUBE2, Boundary value problems for second-order elliptic equations, Numerical algorithms for specific classes of architectures, preconditioning, BI-CGSTAB method, vectorization, GMRES method, Spectral, collocation and related methods for boundary value problems involving PDEs, Spectral methods vectorization algorithms domain decomposition, 0101 mathematics, CRAY X/MP-EA, spectral collocation method

File Description: application/xml

Access URL: https://zbmath.org/89534
https://doi.org/10.1016/0168-9274(92)90033-a
https://www.sciencedirect.com/science/article/pii/016892749290033A
https://hdl.handle.net/11379/4225
https://doi.org/10.1016/0168-9274(92)90033-A

Iterative Preconditioned Methods in Krylov Spaces: Trends of the 21st Century.

Authors: Il'in, V. P.

Source: Computational Mathematics & Mathematical Physics; Nov2021, Vol. 61 Issue 11, p1750-1775, 26p

Subject Terms: DOMAIN decomposition methods, TWENTY-first century, MATRIX inversion, GRAPHICS processing units, PARALLEL algorithms, FLUID dynamics, DEGREES of freedom

Image domain multi-material decomposition using single energy CT.

Authors: Xue, Yi Luo, Chen Jiang, Yangkang et al.

Source: Physics in Medicine & Biology; 3/15/2020, Vol. 65 Issue 6, p1-17, 17p

Subject Terms: COMPUTED tomography, LEAST squares, DUAL energy CT (Tomography), TRANSFER functions, STANDARD deviations, HUMAN body, DOMAIN decomposition methods, MULTISPECTRAL imaging

Fast and effective single-scan dual-energy cone-beam CT reconstruction and decomposition denoising based on dual-energy vectorization.

Authors: Jiang X Fang C Hu P et al.

Source: Medical physics [Med Phys] 2021 Sep; Vol. 48 (9), pp. 4843-4856. Date of Electronic Publication: 2021 Aug 11.

Publication Type: Journal Article

Journal Info: Publisher: John Wiley and Sons, Inc Country of Publication: United States NLM ID: 0425746 Publication Model: Print-Electronic Cited Medium: Internet ISSN: 2473-4209 (Electronic) Linking ISSN: 00942405 NLM ISO Abbreviation: Med Phys Subsets: MEDLINE

MeSH Terms: Algorithms* , Head*/diagnostic imaging, Cone-Beam Computed Tomography ; Humans ; Image Processing, Computer-Assisted ; Phantoms, Imaging ; Radiography

Fast global spectral methods for three-dimensional partial differential equations.

Authors: Strössner, Christoph Kressner, Daniel

Source: IMA Journal of Numerical Analysis; May2023, Vol. 43 Issue 3, p1519-1542, 24p

Subject Terms: LINEAR differential equations, KRONECKER products, LINEAR equations, LINEAR systems, SPECTRAL element method

Fourier–Gegenbauer Integral Galerkin Method for Solving the Advection–Diffusion Equation with Periodic Boundary Conditions.

Authors: Elgindy, Kareem T.

Source: Computation; Sep2025, Vol. 13 Issue 9, p219, 37p

Subject Terms: ADVECTION-diffusion equations, GALERKIN methods, ITERATIVE methods (Mathematics), BOUNDARY value problems, MATHEMATICAL optimization, SIMULATION methods & models, INTEGRAL equations

Enabling Large-Scale Simulation of CAM on the Sunway TaihuLight Supercomputer.

Authors: Li, Yuxuan Duan, Xiaohui Gan, Lin et al.

Source: IEEE Transactions on Computers; Apr2022, Vol. 71 Issue 4, p824-837, 14p

Subject Terms: DOMAIN decomposition methods, ATMOSPHERIC models, COMPUTER architecture, SUPERCOMPUTERS, COMPUTER simulation

A fully scalable homogenization method to upscale 3-D elastic media.

Authors: Cao, J Brossier, R Capdeville, Y et al.

Source: Geophysical Journal International; Jul2024, Vol. 238 Issue 1, p72-90, 19p

Subject Terms: EARTHQUAKE hazard analysis, SEISMIC waves, ELASTIC wave propagation, EARTH sciences, SEISMIC migration, ELASTIC waves

MultiScale spectral–spatial convolutional transformer for hyperspectral image classification.

Authors: Gong, Zhiqiang Zhou, Xian Yao, Wen

Source: IET Image Processing (Wiley-Blackwell); 11/13/2024, Vol. 18 Issue 13, p4328-4340, 13p

Subject Terms: IMAGE recognition (Computer vision), TRANSFORMER models, FEATURE extraction, CONVOLUTIONAL neural networks, PIXELS, MULTISPECTRAL imaging, SPECTRAL imaging

Likelihood-based bilateral filters for pre-estimated basis sinograms using photon-counting CT.

Authors: Lee O; Department of Robotics and Mechatronics Engineering, Daegu Gyeongbuk Institute of Science and Technology (DGIST), Daegu, Republic of Korea.

Source: Medical physics [Med Phys] 2023 May; Vol. 50 (5), pp. 2733-2758. Date of Electronic Publication: 2023 Feb 05.

Publication Type: Journal Article

Journal Info: Publisher: John Wiley and Sons, Inc Country of Publication: United States NLM ID: 0425746 Publication Model: Print-Electronic Cited Medium: Internet ISSN: 2473-4209 (Electronic) Linking ISSN: 00942405 NLM ISO Abbreviation: Med Phys Subsets: MEDLINE

MeSH Terms: Image Processing, Computer-Assisted*/methods , Algorithms*, Likelihood Functions ; Tomography, X-Ray Computed/methods ; Thorax ; Phantoms, Imaging

Mesh‐free high‐resolution simulation of cerebrocortical oxygen supply with fast Fourier preconditioning.

Authors: Ventimiglia, Thomas Linninger, Andreas A.

Source: International Journal for Numerical Methods in Biomedical Engineering; Aug2023, Vol. 39 Issue 8, p1-25, 25p

Subject Terms: KRYLOV subspace, POISSON'S equation, SCHUR complement, DECOMPOSITION method, OXYGEN in the blood, FAST Fourier transforms, OXYGEN, MESH networks

Regularizing Hyperspectral and Multispectral Image Fusion by CNN Denoiser.

Authors: Dian, Renwei Li, Shutao Kang, Xudong

Source: IEEE Transactions on Neural Networks & Learning Systems; Mar2021, Vol. 32 Issue 3, p1124-1135, 12p

Subject Terms: IMAGE fusion, MULTISPECTRAL imaging, IMAGE denoising, CONVOLUTIONAL neural networks, SINGULAR value decomposition, HIGH resolution imaging

Hyperspectral image, video compression using sparse tucker tensor decomposition.

Authors: Das, Samiran

Source: IET Image Processing (Wiley-Blackwell); Mar2021, Vol. 15 Issue 4, p964-973, 10p

No Reproducibility, No Progress: Rethinking CT Benchmarking.

Authors: Polevoy, Dmitry Kazimirov, Danil Gilmanov, Marat et al.

Source: Journal of Imaging; Oct2025, Vol. 11 Issue 10, p344, 36p

Fast Tensor Product Schwarz Smoothers for High-Order Discontinuous Galerkin Methods.

Authors: Witte, Julius Arndt, Daniel Kanschat, Guido

Source: Computational Methods in Applied Mathematics; 2021, Vol. 21 Issue 3, p709-728, 20p

Subject Terms: TENSOR products, GALERKIN methods, MATRIX inversion, MULTIGRID methods (Numerical analysis), MATRIX multiplications, DIFFERENTIAL operators

Efficient Fourier base fitting on masked or incomplete structured data.

Authors: Karimi, Fariba Neufeld, Esra Fallahi, Arya et al.

Source: Frontiers in Neuroimaging; 2025, p1-12, 12p

Reconstructing brain causal dynamics for subject and task fingerprints using fMRI time-series data.

Authors: Song, Dachuan Shen, Li Duong-Tran, Duy et al.

Source: Health Information Science & Systems; 10/28/2025, Vol. 13 Issue 1, p1-17, 17p

Computations of a laminar backward-facing step flow at Re=800 with a spectral domain decomposition method.

Authors: Keskar, Jayant Lyn, D.A.

Source: International Journal for Numerical Methods in Fluids; Feb1999, Vol. 29 Issue 4, p411-427, 17p

A Low-Rank Tensor Decomposition Model With Factors Prior and Total Variation for Impulsive Noise Removal.

Authors: Tian, Xin Xie, Kun Zhang, Hanling

Source: IEEE Transactions on Image Processing; 2022, Vol. 31, p4776-4789, 14p

A Low-Rank Tensor Completion Method via Strassen--Ottaviani Flattening.

Authors: Tiantian He Shenglong Hu Zheng-Hai Huang

Source: SIAM Journal on Imaging Sciences; 2024, Vol. 17 Issue 4, p2242-2276, 35p