Multi-step Hermite-Birkhoff predictor-corrector schemes

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical quadrature and cubature formulas (65D32)

Cites Work

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Explicit strong stability preserving multistage two-derivative time-stepping schemes
Partitioned and implicit-explicit general linear methods for ordinary differential equations
Multistep-multistage-multiderivative methods for ordinary differential equations
On explicit two-derivative Runge-Kutta methods
Stability properties of variable stepsize variable formula methods
\(A_0\)-stability and stiff stability of Brown's multystep multiderivative methods
Spectral deferred correction methods for ordinary differential equations
Strong stability preserving general linear methods with Runge-Kutta stability
Parallel-in-time high-order multiderivative IMEX solvers
Stability of implicit multiderivative deferred correction methods
Jacobian-free explicit multiderivative Runge-Kutta methods for hyperbolic conservation laws
The new class of multistep multiderivative hybrid methods for the numerical solution of chemical stiff systems of first order IVPs
An asymptotic preserving semi-implicit multiderivative solver
A strong stability preserving analysis for explicit multistage two-derivative time-stepping schemes based on Taylor series conditions
Strong stability preserving second derivative general linear methods
Second derivative methods with RK stability
Semi-implicit spectral deferred correction methods for ordinary differential equations
Implicit two-derivative deferred correction time discretization for the discontinuous Galerkin method
Strong Stability-Preserving High-Order Time Discretization Methods
The Convergence of Variable-Stepsize, Variable-Formula, Multistep Methods
On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
Implicit-Explicit Integral Deferred Correction Methods for Stiff Problems
Quadrature Formulas with Multiple Gaussian Nodes
The partial differential equation u_t + uu_x = μ_xx
General linear methods
Time parallelism and Newton-adaptivity of the two-derivative deferred correction discontinuous Galerkin method
High Order Strong Stability Preserving MultiDerivative Implicit and IMEX Runge--Kutta Methods with Asymptotic Preserving Properties
An explicitness-preserving IMEX-split multiderivative method

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