Quadratized Taylor series methods for ODE numerical integration

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods for ordinary differential equations (65Lxx) General theory for ordinary differential equations (34Axx)

Cites Work

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Solving ordinary differential equations on the Infinity Computer by working with infinitesimals numerically
Breaking the limits: The Taylor series method
Automatic implementation of the numerical Taylor series method: a \textsc{Mathematica} and \textsc{Sage} approach
VSVO formulation of the Taylor method for the numerical solution of ODEs
On the validity of the steady state assumption of enzyme kinetics
Automatic differentiation: techniques and applications
ATOMFT: Solving ODEs and DAEs using Taylor series
A new approach for computing consistent initial values and Taylor coefficients for DAEs using projector-based constrained optimization
Approximate Taylor methods for ODEs
Conjugate-symplecticity properties of Euler-Maclaurin methods and their implementation on the infinity computer
On the solution calculation of nonlinear ordinary differential equations via exact quadratization
Computation of higher order Lie derivatives on the infinity computer
A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic
Cubification of \(\sigma \pi \)-SDE and exact moment equations
Global Exact Quadratization of Continuous-Time Nonlinear Control Systems
Algorithm 924
Introduction to Automatic Differentiation and MATLAB Object-Oriented Programming
A new applied approach for executing computations with infinite and infinitesimal quantities
On Taylor Series and Stiff Equations
An efficient method for the numerical evaluation of partial derivatives of arbitrary order
Sensitivity Analysis of ODES/DAES Using the Taylor Series Method
Comparing Numerical Methods for Ordinary Differential Equations

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