Parallel methods for integrating ordinary differential equations

From MaRDI portal
Publication:5345232

DOI10.1145/355588.365137zbMath0134.32804OpenAlexW2140489561WikidataQ56211168 ScholiaQ56211168MaRDI QIDQ5345232

Jurg Nievergelt

Publication date: 1964

Published in: Communications of the ACM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/355588.365137



Related Items

A parallel-in-time approach for accelerating direct-adjoint studies, Concurrent implicit spectral deferred correction scheme for low-Mach number combustion with detailed chemistry, Space-time multilevel Monte Carlo methods and their application to cardiac electrophysiology, Time domain decomposition of parabolic control problems based on discontinuous Galerkin semi-discretization, An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs, Interweaving PFASST and Parallel Multigrid, A Parallel Algorithm for Solving Linear Parabolic Evolution Equations, Twelve Ways to Fool the Masses When Giving Parallel-in-Time Results, IMEX Runge-Kutta Parareal for Non-diffusive Equations, Multigrid methods with space-time concurrency, Parallel iteration across the steps of high-order Runge-Kutta methods for nonstiff initial value problems, A generalized predictive analysis tool for multigrid methods, An analytic model for the convergence of turbulent simulations time-parallelized via the parareal algorithm, Parareal for index two differential algebraic equations, Parallel methods for ordinary differential equations, Parallel algorithms for initial-value problems for difference and differential equations, An adaptive parareal algorithm, Stochastic Parareal: An Application of Probabilistic Methods to Time-Parallelization, A waveform relaxation Newmark method for structural dynamics problems, Parallel-in-time simulation of biofluids, Multilevel space-time block diagonal preconditioners for parabolic problems, A parallel inverted dual time stepping method for unsteady incompressible fluid flow and heat transfer problems, Error Bound Analysis of the Stochastic Parareal Algorithm, Theoretical and practical aspects of space-time DG-SEM implementations, Asynchronous Truncated Multigrid-Reduction-in-Time, A non-intrusive parallel-in-time adjoint solver with the xbraid library, Parareal method for anisotropic diffusion denoising, Parallel numerical Picard iteration methods, Applications of time parallelization, Multigrid Reduction in Time for Chaotic Dynamical Systems, A parallel-in-time collocation method using diagonalization: theory and implementation for linear problems, A Diagonalization-Based Parallel-in-Time Algorithm for Crank-Nicolson’s Discretization of the Viscoelastic Equation, Parallel iteration schemes for implicit ODEIVP methods, Parallel Solution of Linear Systems, Multigrid Reduction in Time for Nonlinear Parabolic Problems: A Case Study, Two-Level Convergence Theory for Multigrid Reduction in Time (MGRIT), Time-Parallel Iterative Solvers for Parabolic Evolution Equations, Checking system boundedness using ordinary differential equations, Unnamed Item, PARAOPT: A Parareal Algorithm for Optimality Systems, Supervised parallel-in-time algorithm for long-time Lagrangian simulations of stochastic dynamics: application to hydrodynamics, Efficient time domain decomposition algorithms for parabolic PDE-constrained optimization problems, Decreasing the temporal complexity for nonlinear, implicit reduced-order models by forecasting, A stencil-based implementation of parareal in the C++ domain specific embedded language STELLA, Parallel implementation of block boundary value methods for ODEs, Parallelization in time through tensor-product space-time solvers, Parallel methods for initial value problems, Limits of parallelism in explicit ODE methods, Parallel-in-time multigrid for space-time finite element approximations of two-dimensional space-fractional diffusion equations, Parallel exponential Rosenbrock methods, A multigrid-reduction-in-time solver with a new two-level convergence for unsteady fractional Laplacian problems, Parallelization in time of numerical simulations of fully-developed plasma turbulence using the parareal algorithm, Wave propagation characteristics of Parareal, Multigrid reduction in time with Richardson extrapolation, A time-parallel implicit method for accelerating the solution of non-linear structural dynamics problems, 50 Years of Time Parallel Time Integration, On Parareal Algorithms for Semilinear Parabolic Stochastic PDEs, Parareal for Diffusion Problems with Space- and Time-Dependent Coefficients, Multilevel Convergence Analysis of Multigrid-Reduction-in-Time, On parallel methods for boundary value ODEs, Variational space-time elements for large-scale systems, Data-Driven Time Parallelism via Forecasting, Time-periodic steady-state solution of fluid-structure interaction and cardiac flow problems through multigrid-reduction-in-time, Parallel-In-Time Magnus Integrators, Matrix formulation of the Picard method for parallel computation, A hybrid parareal Monte Carlo algorithm for parabolic problems, Parallel-in-time adjoint-based optimization -- application to unsteady incompressible flows, MPI–OpenMP Algorithms for the Parallel Space–Time Solution of Time Dependent PDEs, Stochastic Parareal: An Application of Probabilistic Methods to Time-Parallelization, A minimal communication approach to parallel time integration