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Applications of time parallelization (Q6163822)

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scientific article; zbMATH DE number 7704915

Language	Label	Description	Also known as
English	Applications of time parallelization	scientific article; zbMATH DE number 7704915

Statements

scholarly article

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Applications of time parallelization (English)

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Benjamin W. Ong

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Jacob B. Schroder

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Computing and Visualization in Science

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publication date

30 June 2023

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zbMATH Keywords

time-parallelization

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multigrid-in-time

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waveform relaxation

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parallel-in-time

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00791-020-00331-4

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The Parareal in Time Algorithm Applied to the Kinetic Neutron Diffusion Equation

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Parareal in time 3D numerical solver for the LWR benchmark neutron diffusion transient model

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Space-Time FE-DG Discretization of the Anisotropic Diffusion Equation in Any Dimension: The Spectral Symbol

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A Parallel Multigrid Solver for Time-Periodic Incompressible Navier–Stokes Equations in 3D

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Optimized Schwarz waveform relaxation for advection reaction diffusion equations in two dimensions

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Boundary conditions and Schwarz waveform relaxation method for linear viscous Shallow Water equations in hydrodynamics

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Supervised parallel-in-time algorithm for long-time Lagrangian simulations of stochastic dynamics: application to hydrodynamics

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A multigrid perspective on the parallel full approximation scheme in space and time

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Multi-Level Adaptive Solutions to Boundary-Value Problems

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General highly accurate algebraic coarsening

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A parallel shooting technique for solving dissipative ODE's

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A high order time splitting method based on integral deferred correction for semi-Lagrangian Vlasov simulations

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A Parallel Space-Time Algorithm

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Parallel High-Order Integrators

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Revisionist integral deferred correction with adaptive step-size control

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Implicit parallel time integrators

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Parallel-in-time integration of kinematic dynamos

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Schwarz Waveform Relaxation Methods for Systems of Semi-Linear Reaction-Diffusion Equations

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Two-Level Convergence Theory for Multigrid Reduction in Time (MGRIT)

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Higher-order schemes for the Laplace transformation method for parabolic problems

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Spectral deferred correction methods for ordinary differential equations

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Toward an efficient parallel in time method for partial differential equations

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Efficient Implementation of a Multi-Level Parallel in Time Algorithm

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Parallel Time Integration with Multigrid

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Multigrid methods with space-time concurrency

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Multigrid Reduction in Time for Nonlinear Parabolic Problems: A Case Study

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Multigrid method based on a space-time approach with standard coarsening for parabolic problems

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Exploring parallel-in-time approaches for eddy current problems

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A generalized predictive analysis tool for multigrid methods

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A Direct Time Parallel Solver by Diagonalization for the Wave Equation

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50 Years of Time Parallel Time Integration

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PARAEXP: A Parallel Integrator for Linear Initial-Value Problems

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A Nonlinear ParaExp Algorithm

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An Optimized Schwarz Waveform Relaxation Algorithm for Micro-Magnetics

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A Direct Solver for Time Parallelization

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A Superlinear Convergence Estimate for the Parareal Schwarz Waveform Relaxation Algorithm

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Multigrid interpretations of the parareal algorithm leading to an overlapping variant and MGRIT

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Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems

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Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation

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Analysis of the Parareal Time‐Parallel Time‐Integration Method

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Multigrid Waveform Relaxation for the Time-Fractional Heat Equation

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Parallel methods for ordinary differential equations

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Waveform methods for space and time parallelism

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Space-time domain decomposition for parabolic problems

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Parallel-in-Time for Parabolic Optimal Control Problems Using PFASST

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An Efficient Parallel-in-Time Method for Optimization with Parabolic PDEs

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A non-intrusive parallel-in-time adjoint solver with the xbraid library

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Layer-Parallel Training of Deep Residual Neural Networks

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Stable architectures for deep neural networks

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Multi-level spectral deferred corrections scheme for the shallow water equations on the rotating sphere

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Parallel-in-time multi-level integration of the shallow-water equations on the rotating sphere

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An Asymptotic Parallel-in-Time Method for Highly Oscillatory PDEs

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A high-order time-parallel scheme for solving wave propagation problems via the direct construction of an approximate time-evolution operator

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MPI–OpenMP Algorithms for the Parallel Space–Time Solution of Time Dependent PDEs

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Convergence of the multigrid reduction in time algorithm for the linear elasticity equations

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Multilevel Convergence Analysis of Multigrid-Reduction-in-Time

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Parallel and Robust Preconditioning for Space-Time Isogeometric Analysis of Parabolic Evolution Problems

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Time-multipatch discontinuous Galerkin space-time isogeometric analysis of parabolic evolution problems

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The time‐parallel multigrid method

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A Space-Time Multigrid Method for Parabolic Partial Differential Equations

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An Algorithm with Polylog Parallel Complexity for Solving Parabolic Partial Differential Equations

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Analysis of parallel diagonally implicit iteration of Runge-Kutta methods

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Iterated Runge–Kutta Methods on Parallel Computers

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Parallel-In-Time Multigrid with Adaptive Spatial Coarsening for The Linear Advection and Inviscid Burgers Equations

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Using hierarchical matrices in the solution of the time-fractional heat equation by multigrid waveform relaxation

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Space-time finite element methods for second-order hyperbolic equations

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Schwarz Waveform Relaxation with Adaptive Pipelining

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Guaranteed error bounds and local indicators for adaptive solvers using stabilised space-time IgA approximations to parabolic problems

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A Micro-Macro Parareal Algorithm: Application to Singularly Perturbed Ordinary Differential Equations

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Résolution d'EDP par un schéma en temps «pararéel »

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A parareal algorithm based on waveform relaxation

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Modified propagators of parareal in time algorithm and application to Princeton Ocean model

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Coarsening by compatible relaxation

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Domain decomposition method for the \(N\)-body time-independent and time-dependent Schrödinger equations

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Parallelization in time through tensor-product space-time solvers

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Nonsymmetric Algebraic Multigrid Based on Local Approximate Ideal Restriction ($\ell$AIR)

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A hybrid parareal spectral deferred corrections method

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Interweaving PFASST and Parallel Multigrid

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Parallel Methods for the Numerical Integration of Ordinary Differential Equations

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Parallel methods for integrating ordinary differential equations

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Pipeline Schwarz Waveform Relaxation

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Pipeline implementations of Neumann-Neumann and Dirichlet-Neumann waveform relaxation methods

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Parareal Convergence for Oscillatory PDEs with Finite Time-Scale Separation

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Adaptive time stepping for vesicle suspensions

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Parallelization in time of numerical simulations of fully-developed plasma turbulence using the parareal algorithm

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A numerical study of a semi-Lagrangian Parareal method applied to the viscous Burgers' equation

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A parallel time integrator for solving the linearized shallow water equations on the rotating sphere

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A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature

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A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature

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Parallel-iterated Runge-Kutta methods for stiff ordinary differential equations

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Necessary Conditions and Tight Two-level Convergence Bounds for Parareal and Multigrid Reduction in Time

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Parallelizing spectral deferred corrections across the method

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A multi-level spectral deferred correction method

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Integrating an N-Body Problem with SDC and PFASST

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Comparison of algebraic multigrid methods for an adaptive space–time finite‐element discretization of the heat equation in 3D and 4D

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Optimizing multigrid reduction‐in‐time and Parareal coarse‐grid operators for linear advection

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Parallel iteration of high-order Runge-Kutta methods with stepsize control

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Fourier mode analysis of the multigrid waveform relaxation and time- parallel multigrid methods

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Efficient Parallel Algorithms for Solving Initial-Boundary Value and Time-Periodic Parabolic Partial Differential Equations

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Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems

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Block-implicit multigrid solution of Navier-Stokes equations in primitive variables

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A Geometric Space-Time Multigrid Algorithm for the Heat Equation

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Identifiers

10.1007/s00791-020-00331-4

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6163822

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