Symmetric-conjugate splitting methods for evolution equations of parabolic type
From MaRDI portal
Publication:6201392
DOI10.3934/jcd.2024003arXiv2401.04196WikidataQ129594962 ScholiaQ129594962MaRDI QIDQ6201392
Mechthild Thalhammer, Cesáreo González, Fernando Casas, Sergio Blanes
Publication date: 20 February 2024
Published in: Journal of Computational Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2401.04196
stabilityconvergenceefficiencySchrödinger equationsparabolic problemslinear evolution equationsoperator splitting methodsFourier spectral methods
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical solutions to equations with linear operators (65J10) Numerical methods for stiff equations (65L04)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The behaviour of the local error in splitting methods applied to stiff problems
- Symplectic analytically integrable decomposition algorithms: classification, derivation, and application to molecular dynamics, quantum and celestial mechanics simulations
- Operator splitting for chemical reaction systems with fast chemistry
- Splitting methods with complex times for parabolic equations
- High order splitting methods for analytic semigroups exist
- Semigroups of linear operators and applications to partial differential equations
- A PI stepsize control for the numerical solution of ordinary differential equations
- Error bounds for exponential operator splittings
- On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
- On the necessity of negative coefficients for operator splitting schemes of order higher than two
- Symplectic integrators from composite operator factorizations
- Applying splitting methods with complex coefficients to the numerical integration of unitary problems
- Non-existence of generalized splitting methods with positive coefficients of order higher than four
- Stiff convergence of force-gradient operator splitting methods
- Optimized high-order splitting methods for some classes of parabolic equations
- Splitting methods with complex coefficients
- Strang Splitting Method for Semilinear Parabolic Problems With Inhomogeneous Boundary Conditions: A Correction Based on the Flow of the Nonlinearity
- High-Order Exponential Operator Splitting Methods for Time-Dependent Schrödinger Equations
- Splitting methods
- A second-order Magnus-type integrator for quasi-linear parabolic problems
- Solving Linear Partial Differential Equations by Exponential Splitting
- General theory of fractal path integrals with applications to many-body theories and statistical physics
- One-Parameter Semigroups for Linear Evolution Equations
- Convergence analysis of high-order commutator-free quasi-Magnus exponential integrators for nonautonomous linear evolution equations of parabolic type
- Computation of Ground States of the Gross--Pitaevskii Functional via Riemannian Optimization
- Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow
- Ground States and Dynamics of Multicomponent Bose--Einstein Condensates
- Nth-Order Operator Splitting Schemes and Nonreversible Systems
- Convergence Analysis of High-Order Time-Splitting Pseudospectral Methods for Nonlinear Schrödinger Equations
- Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with Dirichlet and oblique boundary conditions
- A Fast Time Splitting Finite Difference Approach to Gross–Pitaevskii Equations
- Analysis of Operator Splitting in the Nonasymptotic Regime for Nonlinear Reaction-Diffusion Equations. Application to the Dynamics of Premixed Flames
- Analytic semigroups and optimal regularity in parabolic problems
- Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrödinger Equation
