Design/analysis of GEGS4-1 time integration framework with improved stability and solution accuracy for first-order transient systems
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Publication:2123795
DOI10.1016/j.jcp.2020.109763OpenAlexW3049381854MaRDI QIDQ2123795
Yazhou Wang, Dean Maxam, Guo Liang Qin, Kumar K. Tamma
Publication date: 14 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2020.109763
time integrationfirst-order systemsgeneral explicit algorithmsGS4-1 frameworkimproved stability and solution accuracyLMS algorithms
Related Items (4)
Dahlquist's barriers and much beyond ⋮ A three-time-level a posteriori error estimator for GS4-2 framework: adaptive time stepping for second-order transient systems ⋮ On a generalized energy conservation/dissipation time finite element method for Hamiltonian mechanics ⋮ An accurate and simple universal a posteriori error estimator for GS4-1 framework: adaptive time stepping in first-order transient systems
Cites Work
- Unnamed Item
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- Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation
- Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
- Energy stable higher-order linear ETD multi-step methods for gradient flows: application to thin film epitaxy
- A fully second order implicit/explicit time integration technique for hydrodynamics plus nonlinear heat conduction problems
- A new finite element based Lax-Wendroff/Taylor-Galerkin methodology for computational dynamics
- High-order splitting methods for the incompressible Navier-Stokes equations
- An improved time-splitting method for simulating natural convection heat transfer in a square cavity by Legendre spectral element approximation
- Explicit Runge-Kutta schemes for incompressible flow with improved energy-conservation properties
- Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers' equation
- High-order, linearly stable, partitioned solvers for general multiphysics problems based on implicit-explicit Runge-Kutta schemes
- Paired explicit Runge-Kutta schemes for stiff systems of equations
- Multi-rate time integration on overset meshes
- A coupled implicit-explicit time integration method for compressible unsteady flows
- High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters
- A novel and simple a posteriori error estimator for LMS methods under the umbrella of GSSSS framework: adaptive time stepping in second-order dynamical systems
- A two-field state-based peridynamic theory for thermal contact problems
- A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability
- Energy conserving balance of explicit time steps to combine implicit and explicit algorithms in structural dynamics
- An overview and recent advances in vector and scalar formalisms: space/time discretizations in computational dynamics -- a unified approach
- A high-order splitting method for time-dependent domains
- Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field Equations
- Long Time Stability of High Order MultiStep Numerical Schemes for Two-Dimensional Incompressible Navier--Stokes Equations
- Design of order-preserving algorithms for transient first-order systems with controllable numerical dissipation
- Advances in Computational Dynamics of Particles, Materials and Structures
- A novel design of an isochronous integration [iIntegration framework for first/second order multidisciplinary transient systems]
- A novel extension of GS4-1 time integrator to fluid dynamics type non-linear problems with illustrations to Burgers’ equation
- A new unified theory underlying time dependent linear first-order systems: a prelude to algorithms by design
- Algorithms by design with illustrations to solid and structural mechanics/dynamics
- EXPLICIT SECOND-ORDER ACCURATE TAYLOR-GALERKIN-BASED FINITE-ELEMENT FORMULATIONS FOR LINEAR/NONLINEAR TRANSIENT HEAT TRANSFER
- Design, analysis, and synthesis of generalized single step single solve and optimal algorithms for structural dynamics
- A special stability problem for linear multistep methods
- The time dimension: A theory towards the evolution, classification, characterization and design of computational algorithms for transient/dynamic applications
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