A new family of multistep numerical integration methods based on Hermite interpolation
From MaRDI portal
Publication:399975
DOI10.1007/s10569-013-9517-4zbMath1293.65103OpenAlexW2028720594MaRDI QIDQ399975
Publication date: 20 August 2014
Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10569-013-9517-4
numerical integrationHermite interpolationexplicit and implicit multistep methodsmultiderivatives methodssatellite orbit integration
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Orbital mechanics (70M20)
Related Items
A novel class of explicit two-step Birkhoff-Hermite integrators for highly oscillatory second-order differential equations ⋮ Second derivative multistep method for solving first-order ordinary differential equations
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The new class of implicit \(L\)-stable hybrid Obrechkoff method for the numerical solution of first order initial value problems
- Pryce pre-analysis adapted to some DAE solvers
- Error estimation and control for ODEs
- A new class of highly accurate solvers for ordinary differential equations
- Modeling orbital relative motion to enable formation design from application requirements
- Hermite-Birkhoff-Obrechkoff four-stage four-step ODE solver of order 14 with quantized step size
- On some explicit Adams multistep methods for fractional differential equations
- One-step 9-stage Hermite-Birkhoff-Taylor ODE solver of order 10
- New Runge-Kutta-Nyström formula-pairs of order 8(7), 9(8), 10(9) and 11(10) for differential equations of the form \(y=f(x,y)\)
- A family of embedded Runge-Kutta formulae
- High order embedded Runge-Kutta formulae
- Parallel defect control
- New efficient second derivative multistep methods for stiff systems
- Stiffly stable second derivative multistep methods with higher order and improved stability regions
- Numerical methods for ordinary differential equations in the 20th century
- Contractivity-preserving explicit Hermite-Obrechkoff ODE solver of order 13
- Linear multistep methods applied to stiff initial value problems -- a survey
- New second derivative multistep methods for stiff systems
- The MATLAB ODE Suite
- Solving Ordinary Differential Equations I
- Convergence and stability in the numerical integration of ordinary differential equations
- Extensions of the Predictor-corrector Method for the Solution of Systems of ordinary Differential Equations
- Scientific Computing with MATLAB and Octave
- High-Order Embedded Runge-Kutta-Nystrom Formulae
- Polynomial Formulation of Second Derivative Multistep Methods
- High-order Explicit Runge-Kutta Formulae, Their Uses, and Limitations
- Implementing Second-Derivative Multistep Methods Using the Nordsieck Polynomial Representation
- New Runge-Kutta algorithms for numerical simulation in dynamical astronomy
- Applied Numerical Methods Using MATLAB®
- Second Derivative Multistep Methods for Stiff Ordinary Differential Equations
- Methods of Celestial Mechanics
- Integration of Stiff Equations
