Dahlquist's barriers and much beyond
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Publication:2683051
DOI10.1016/j.jcp.2022.111836OpenAlexW4311488476MaRDI QIDQ2683051
Publication date: 3 February 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111836
Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) General theory for ordinary differential equations (34Axx)
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Cites Work
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- Finite element modeling of linear elastodynamics problems with explicit time-integration methods and linear elements with the reduced dispersion error
- Parallel implementation of block boundary value methods for ODEs
- Boundary value methods and BV-stability in the solution of initial value problems
- Large time-step explicit integration method for solving problems with dominant convection
- On a deficiency in unconditionally stable explicit time-integration methods in elastodynamics and heat transfer
- High-order compact boundary value method for the solution of unsteady convection-diffusion problems
- Stability of explicit time discretizations for solving initial value problems
- Space-time finite element methods for second-order hyperbolic equations
- Unconditionally stable explicit algorithms for nonlinear fluid dynamics problems
- A parallel preconditioning technique for boundary value methods
- Positivity-preserving dual time stepping schemes for gas dynamics
- Enforcing the Courant-Friedrichs-Lewy condition in explicitly conservative local time stepping schemes
- Adaptive time-step control for nonlinear fluid-structure interaction
- Multi-level explicit local time-stepping methods for second-order wave equations
- Adaptive time step control for higher order variational time discretizations applied to convection-diffusion-reaction equations
- Convergence and stability of boundary value methods for ordinary differential equations
- New analysis of the Du Fort-Frankel methods
- Boundary value methods: The third way between linear multistep and Runge-Kutta methods
- High-order implicit time integration scheme based on Padé expansions
- Parallel-in-time multi-level integration of the shallow-water equations on the rotating sphere
- Design/analysis of GEGS4-1 time integration framework with improved stability and solution accuracy for first-order transient systems
- A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD
- A unified formulation of splitting-based implicit time integration schemes
- Fractional time stepping and adjoint based gradient computation in an inverse problem for a fractionally damped wave equation
- Relative error long-time behavior in matrix exponential approximations for numerical integration: the stiff situation
- Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems
- Conservative explicit local time-stepping schemes for the shallow water equations
- Local time-stepping for adaptive multiresolution using natural extension of Runge-Kutta methods
- A stable finite-difference time-domain scheme for local time-stepping on an adaptive mesh
- An efficient optimized adaptive step-size hybrid block method for integrating differential systems
- A strong stability preserving analysis for explicit multistage two-derivative time-stepping schemes based on Taylor series conditions
- 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
- Dahlquist's classical papers on stability theory
- Positivity Preserving Implicit and Partially Implicit Time Integration Methods in the Context of the DG Scheme Applied to Shallow Water Flows
- Efficient time integration methods based on operator splitting and application to the Westervelt equation
- Selective mass scaling for distorted solid-shell elements in explicit dynamics: optimal scaling factor and stable time step estimate
- Two Results Concerning the Stability of Staggered Multistep Methods
- Convergence and stability in the numerical integration of ordinary differential equations
- A New Class of Cyclic Multistep Formulae for Stiff Systems
- A Pre´cis of Developments in Computational Methods for Transient Analysis
- Two-Parameter, Arbitrary Order, Exponential Approximations for Stiff Equations
- An unconditionally stable explicit algorithm for structural dynamics
- On a class of cyclic methods for the numerical integration of stiff systems of O.D.E.s
- High-Order Adaptive Time Stepping for the Incompressible Navier--Stokes Equations
- A First Course in Computational Fluid Dynamics
- A Modified Multistep Method for the Numerical Integration of Ordinary Differential Equations
- A note on unconditionally stable linear multistep methods
- High order a-stable methods for the numerical solution of systems of D.E.'s
- Cyclic Composite Multistep Predictor-Corrector Methods
- Unconditional Stability in Numerical Time Integration Methods
- A new class of highly-stable methods:A 0-stable methods
- A special stability problem for linear multistep methods
- B-Series
- Numerical Methods for Ordinary Differential Equations
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