DOI10.1093/imanum/drt031zbMath1321.65115OpenAlexW2123661072MaRDI QIDQ5416811
Christian Lubich, Ernst Hairer
Publication date: 15 May 2014
Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)
Full work available at URL: http://doc.rero.ch/record/298810/files/drt031.pdf
A fully discrete curve-shortening polygonal evolution law for moving boundary problems,
Highly efficient invariant-conserving explicit Runge-Kutta schemes for nonlinear Hamiltonian differential equations,
On the equivalence between SOR-type methods for linear systems and the discrete gradient methods for gradient systems,
Arbitrary-order functionally fitted energy-diminishing methods for gradient systems,
Projected Runge-Kutta methods for constrained Hamiltonian systems,
Dissipative Numerical Schemes on Riemannian Manifolds with Applications to Gradient Flows,
Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy functionals,
Energy stable interior penalty discontinuous Galerkin finite element method for Cahn-Hilliard equation,
A Dissipation-Preserving Integrator for Damped Oscillatory Hamiltonian Systems,
Explicit stabilised gradient descent for faster strongly convex optimisation,
Adaptive SOR methods based on the Wolfe conditions,
A general class of linear unconditionally energy stable schemes for the gradient flows,
Discrete gradient methods for solving variational image regularisation models,
High order schemes for gradient flow with respect to a metric,
Interacting Langevin Diffusions: Gradient Structure and Ensemble Kalman Sampler,
Linearly implicit methods for Allen-Cahn equation,
Structure-preserving integrators for dissipative systems based on reversible– irreversible splitting,
Structure preserving integration and model order reduction of skew-gradient reaction-diffusion systems,
Contractivity of Runge--Kutta Methods for Convex Gradient Systems,
Bregman Itoh-Abe methods for sparse optimisation,
A new functional for variational mesh generation and adaptation based on equidistribution and alignment conditions,
Moving mesh discontinuous Galerkin methods for PDEs with traveling waves,
On the mesh nonsingularity of the moving mesh PDE method,
On Energy Preserving High-Order Discretizations for Nonlinear Acoustics,
Exponential integrators based on discrete gradients for linearly damped/driven Poisson systems,
Asymptotic analysis of a structure-preserving integrator for damped Hamiltonian systems,
Energy-Decaying Extrapolated RK--SAV Methods for the Allen--Cahn and Cahn--Hilliard Equations,
On the energy stable approximation of Hamiltonian and gradient systems,
A variational formulation of the BDF2 method for metric gradient flows,
Structure preserving approximation of dissipative evolution problems,
Exponential collocation methods for conservative or dissipative systems,
Variational Image Regularization with Euler's Elastica Using a Discrete Gradient Scheme,
An energy stable Runge-Kutta method for convex gradient problems,
Convergence to equilibrium for time and space discretizations of the Cahn-Hilliard equation,
Two structure-preserving time discretizations for gradient flows,
A rank-adaptive robust integrator for dynamical low-rank approximation,
High-Order Fully Discrete Energy Diminishing Evolving Surface Finite Element Methods for a Class of Geometric Curvature Flows
