On the effect of temporal error in high-order simulations of unsteady flows

Development of a balanced adaptive time-stepping strategy based on an implicit JFNK-DG compressible flow solver ⋮ On the application of higher-order backward difference (BDF) methods for computing turbulent flows ⋮ Non-relaxed finite volume fractional step schemes for unsteady incompressible flows ⋮ Effect of time integration scheme in the numerical approximation of thermally coupled problems: from first to third order

MEBDF

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Discontinuous Galerkin methods applied to shock and blast problems
Fourth-order Runge-Kutta schemes for fluid mechanics applications
A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
Implicit time integration schemes for the unsteady compressible Navier-Stokes equations: Laminar flow
Numerical simulation of laminar flow past a circular cylinder
Preconditioning methods for discontinuous Galerkin solutions of the Navier-Stokes equations
On the practical value of the notion of BN-stability
Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
Stabilized finite element methods. I.: Application to the advective- diffusive model
An introduction to recent developments in theory and numerics for conservation laws. Proceedings of the international school, Freiburg/ Littenweiler, Germany, October 20--24, 1997
Low-dissipative high-order shock-capturing methods using characteristic-based filters
High-order accurate discontinuous finite element solution of the 2D Euler equations
Design and implementation of DIRK integrators for stiff systems
Comparison of numerical schemes for solving the advection equation
Stage-parallel fully implicit Runge-Kutta solvers for discontinuous Galerkin fluid simulations
Singly diagonally implicit Runge-Kutta methods with an explicit first stage
Modified extended backward differentiation formulae for the numerical solution of stiff initial value problems in ODEs and DAEs
A comparison of Rosenbrock and ESDIRK methods combined with iterative solvers for unsteady compressible flows
Implicit solution of the unsteady Euler equations for high-order accurate discontinuous Galerkin discretizations
Discontinuous Galerkin solution of the Reynolds-averaged Navier-Stokes and \(k-\omega\) turbulence model equations
The efficiency of singly-implicit Runge-Kutta methods for stiff differential equations
A general formula for the stability functions of a group of implicit advanced step-point (IAS) methods
Solving Ordinary Differential Equations I
The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
Recent progress in the development and understanding of SUPG methods with special reference to the compressible Euler and Navier-Stokes equations
Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
Stability of Runge–Kutta Methods for Stiff Ordinary Differential Equations
Nonlinear dynamics and pattern formation in turbulent wake transition
Effect of three-dimensionality on the lift and drag of nominally two-dimensional cylinders
An Adaptive Discontinuous Galerkin Technique with an Orthogonal Basis Applied to Compressible Flow Problems
An Introduction to Numerical Analysis
High‐order CFD methods: current status and perspective
Development and validation of a SUPG finite element scheme for the compressible Navier–Stokes equations using a modified inviscid flux discretization
Computation of Space Shuttle Flowfields Using Noncentered Finite-Difference Schemes
A special stability problem for linear multistep methods
Integration of Stiff Equations