A class of explicit second derivative general linear methods for non-stiff ODEs

Cites Work

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Construction of high-order quadratically stable second-derivative general linear methods for the numerical integration of stiff ODEs
Explicit Nordsieck methods with extended stability regions
Sequential second derivative general linear methods for stiff systems
High-order multiderivative time integrators for hyperbolic conservation laws
Derivation of three-derivative Runge-Kutta methods
Efficient second derivative methods with extended stability regions for non-stiff IVPs
On explicit two-derivative Runge-Kutta methods
Construction of high order diagonally implicit multistage integration methods for ordinary differential equations
Stiffly stable second derivative multistep methods with higher order and improved stability regions
Parallel-in-time high-order multiderivative IMEX solvers
On the construction of second derivative diagonally implicit multistage integration methods for ODEs
Trigonometrically fitted two-derivative Runge-Kutta methods for solving oscillatory differential equations
Two-derivative Runge-Kutta methods for PDEs using a novel discretization approach
Second derivative methods with RK stability
CONSTRUCTION OF EFFICIENT GENERAL LINEAR METHODS FOR NON-STIFF DIFFERENTIAL SYSTEMS
Second Derivative Extended Backward Differentiation Formulas for the Numerical Integration of Stiff Systems
Implementing Second-Derivative Multistep Methods Using the Nordsieck Polynomial Representation
CONSTRUCTION OF NORDSIECK SECOND DERIVATIVE GENERAL LINEAR METHODS WITH INHERENT QUADRATIC STABILITY
Solving Ordinary Differential Equations II
On the Convergence of Numerical Solutions to Ordinary Differential Equations
Second Derivative Multistep Methods for Stiff Ordinary Differential Equations
Numerical Methods for Ordinary Differential Equations
HIGH ORDER SECOND DERIVATIVE DIAGONALLY IMPLICIT MULTISTAGE INTEGRATION METHODS FOR ODES
High Order Strong Stability Preserving MultiDerivative Implicit and IMEX Runge--Kutta Methods with Asymptotic Preserving Properties

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