Parallelization in time through tensor-product space–time solvers

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Mathematics
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Parallel methods for integrating ordinary differential equations

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A parareal in time discretization of pde's 2001
[2] Hackbusch, W. Parabolic multi-grid methods (Glowinski, R.; Lions, J.-L., eds.), Computing Methods in Applied Sciences and Engineering, vol. IV, North-Holland, 1984, pp. 189-197 1984
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Citations
Title Journal Journal Categories Citations Publication Date
Error estimates of compact and hybrid Richardson schemes for the parabolic equation Applied Mathematics Letters
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Multi-step variant of the parareal algorithm: convergence analysis and numerics

 ESAIM: Mathematical Modelling and Numerical Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
A New ParaDiag Time-Parallel Time Integration Method SIAM Journal on Scientific Computing
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Improved ParaDiag via low-rank updates and interpolation

 Numerische Mathematik
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 1 2023
Analysis of a New Krylov subspace enhanced parareal algorithm for time-periodic problems Numerical Algorithms
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
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 2023
Citations Analysis
Category Category Repetition
Science: Mathematics34
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods30
Science: Physics4
Science: Mathematics: Instruments and machines: Electronic computers. Computer science4
Technology: Engineering (General). Civil engineering (General)2
Technology: Mechanical engineering and machinery2
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics1
The category Science: Mathematics 34 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Parallel Solution of Linear Systems and was published in 2016. The most recent citation comes from a 2024 study titled Error estimates of compact and hybrid Richardson schemes for the parabolic equation. This article reached its peak citation in 2020, with 8 citations. It has been cited in 18 different journals. Among related journals, the SIAM Journal on Scientific Computing cited this research the most, with 13 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year