- Exponentially fitted two-derivative DIRK methods for oscillatory differential equations
2020/12/27 by Julius O. Ehigie, Vu Thai Luan, Ehigie, Julius O. +7 · 1 citation
Computer Science · Engineering · Mathematics · #65L05 #65L10 #65L12 #Applied mathematics #Computer science #Derivative (finance) #Diagonal #Differential Equations and Numerical Methods #Differential algebraic equation #Differential equation #Electromagnetic Simulation and Numerical Methods #Exponential function #FOS: Mathematics #Finite element method #Geometry #L-stability #Mathematical analysis #Mathematics #Numerical Analysis (math.NA) #Numerical analysis #Numerical methods for differential equations #Numerical methods for ordinary differential equations #Numerical stability #Order (exchange) #Order of accuracy #Ordinary differential equation #Runge–Kutta methods #Stability (learning theory) #Superconvergence #cs.NA #math.NA #msc:65L05 #msc:65L10 #msc:65L12
- Generalized Runge-Kutta methods of order four with stepsize control for stiff ordinary differential equations
1979/03/01 by Peter Kaps, P. Rentrop, Peter Rentrop · 10 citations
Engineering · Mathematics · #Adaptive stepsize #Advanced Numerical Methods in Computational Mathematics #Applied mathematics #Backward differentiation formula #Computational Fluid Dynamics and Aerodynamics #Differential algebraic equation #Differential equation #Error analysis #Initial value problem #L-stability #Linear multistep method #Mathematical analysis #Mathematics #Numerical analysis #Numerical methods for differential equations #Numerical methods for ordinary differential equations #Ordinary differential equation #Runge–Kutta methods #Stiff equation #Truncation (statistics) #Truncation error
- A User’s View of Solving Stiff Ordinary Differential Equations
1979/01/01 by L. F. Shampine, C. W. Gear · 1 citation
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Applied mathematics #Artificial intelligence #Backward differentiation formula #Calculus (dental) #Class (philosophy) #Collocation method #Computer science #Differential equation #Electromagnetic Simulation and Numerical Methods #Exact differential equation #Explicit and implicit methods #L-stability #Mathematical analysis #Mathematics #Numerical methods for differential equations #Ordinary differential equation #Stiff equation
- Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
1977/12/01 by Roger Alexander · 30 citations
Engineering · Mathematics · Physics and Astronomy · #Applied mathematics #Backward differentiation formula #Diagonal #Diagonally dominant matrix #Differential algebraic equation #Differential equation #Electromagnetic Simulation and Numerical Methods #Explicit and implicit methods #Geometry #Invertible matrix #L-stability #Mathematical analysis #Mathematics #Numerical methods for differential equations #Numerical methods for ordinary differential equations #Ordinary differential equation #Pure mathematics #Quantum and electron transport phenomena #Runge–Kutta methods