DOI10.1137/0907067zbMath0613.65079OpenAlexW2057698537MaRDI QIDQ4720707
D. F. Griffiths, Jesús María Sanz-Serna
Publication date: 1986
Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0907067
On balanced approximations for time integration of multiple time scale systems. ⋮
Word series for dynamical systems and their numerical integrators ⋮
The von Neumann analysis and modified equation approach for finite difference schemes ⋮
Nodally exact Ritz discretizations of 1D diffusion-absorption and Helmholtz equations by variational FIC and modified equation methods ⋮
Asymptotic analysis of finite difference methods ⋮
The Williams step increases the stability and accuracy of the hoRA time filter ⋮
A Consistent, Moment-Based, Multiscale Solution Approach for Thermal Radiative Transfer Problems ⋮
Methods for coupling radiation, ion, and electron energies in grey implicit Monte Carlo ⋮
A modified equation for dispersive difference schemes ⋮
Taylor series expansion using matrices: an implementation in MATLAB{\circledR} ⋮
Modified equations for weakly convergent stochastic symplectic schemes via their generating functions ⋮
On simple moving grid methods for one-dimensional evolutionary partial differential equations ⋮
Accurate long-term integration of dynamical systems ⋮
An investigation of the internal structure of shock profiles for shock capturing schemes ⋮
Deterministic neural networks optimization from a continuous and energy point of view ⋮
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High order accurate finite difference schemes based on symmetry preservation ⋮
Quantifying parameter ranges for high fidelity simulations for prescribed accuracy by Lax-Wendroff method ⋮
Global spectral analysis: review of numerical methods ⋮
Boosting the accuracy of finite difference schemes via optimal time step selection and non-iterative defect correction ⋮
Quartic parameters for acoustic applications of lattice Boltzmann scheme ⋮
Sparse identification of truncation errors ⋮
A Random Walk Through Experimental Mathematics ⋮
Numerical analysis of time integration errors for nonequilibrium radiation diffusion ⋮
Solving ill-posed control problems by stabilized finite element methods: an alternative to Tikhonov regularization ⋮
Equivalent partial differential equations of a lattice Boltzmann scheme ⋮
Conservative Upwind Correction Method for Scalar Linear Hyperbolic Equations ⋮
Defect-controlled numerical methods and shadowing for chaotic differential equations ⋮
The numerical study of blowup with application to a nonlinear Schrödinger equation ⋮
New numerical methods for Burgers' equation based on semi-Lagrangian and modified equation approaches ⋮
On a superconvergent lattice Boltzmann boundary scheme ⋮
Boundary update via resolvent for fluid-structure interaction ⋮
A critical analysis of the modified equation technique of warming and Hyett ⋮
Symplectic Runge--Kutta Schemes for Adjoint Equations, Automatic Differentiation, Optimal Control, and More ⋮
A new combined stable and dispersion relation preserving compact scheme for non-periodic problems ⋮
Geometric integrators and the Hamiltonian Monte Carlo method ⋮
Variations on a Theme of Euler ⋮
A model for the propagation of rounding error in a Klein-Gordon equation ⋮
On the method of modified equations. VI: Asymptotic analysis of and asymptotic successive-corrections techniques for two-point, boundary-value problems in ODE's ⋮
The Connections Between Lyapunov Functions for Some Optimization Algorithms and Differential Equations ⋮
On the method of modified equations. I: Asymptotic analysis of the Euler forward difference method ⋮
On the method of modified equations. II: Numerical techniques based on the equivalent equation for the Euler forward difference method ⋮
On the method of modified equations. V: Asymptotics analysis of direct-correction and asymptotic successive-correction techniques for the implicit midpoint method ⋮
Asymptotic analysis of the lattice Boltzmann equation ⋮
Efficient nonlinear filter stabilization of the Leray-\(\alpha\) model ⋮
Shadows, chaos, and saddles
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