Projective integration methods in the Runge-Kutta framework and the extension to adaptivity in time

Nonlinear ordinary differential equations and systems (34A34) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)

Cites Work

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On convergence of the projective integration method for stiff ordinary differential equations
Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
Multirate generalized additive Runge Kutta methods
On the convergence of Lawson methods for semilinear stiff problems
Projective integration schemes for hyperbolic moment equations
Second-order accurate projective integrators for multiscale problems
The approximate arithmetic solution by finite differences of physical problems involving differential equations, with an application to the stresses in a masonry dam.
Telescopic projective integration for linear kinetic equations with multiple relaxation times
A high-order relaxation method with projective integration for solving nonlinear systems of hyperbolic conservation laws
Optimal stability polynomials for numerical integration of initial value problems
On convergence of higher order schemes for the projective integration method for stiff ordinary differential equations
Spatially adaptive projective integration schemes for stiff hyperbolic balance laws with spectral gaps
Modeling nonequilibrium gas flow based on moment equations
Asymptotic-preserving Projective Integration Schemes for Kinetic Equations in the Diffusion Limit
A High-Order Asymptotic-Preserving Scheme for Kinetic Equations Using Projective Integration
Projective Methods for Stiff Differential Equations: Problems with Gaps in Their Eigenvalue Spectrum
Moment Approximations and Model Cascades for Shallow Flow
Projective and telescopic projective integration for the nonlinear BGK and Boltzmann equations
Projective Integration for Nonlinear BGK Kinetic Equations
Equilibrium stability analysis of hyperbolic shallow water moment equations

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