Adaptive time propagation for time-dependent Schrödinger equations (Q2026903)

scientific article; zbMATH DE number 7350457

Language	Label	Description	Also known as
English	Adaptive time propagation for time-dependent Schrödinger equations	scientific article; zbMATH DE number 7350457

Statements

instance of

scholarly article

0 references

title

Adaptive time propagation for time-dependent Schrödinger equations (English)

0 references

0 references

0 references

0 references

0 references

International Journal of Applied and Computational Mathematics

0 references

publication date

21 May 2021

0 references

zbMATH Keywords

time-dependent Schrödinger equations

0 references

splitting methods

0 references

Magnus-type integrators

0 references

adaptive stepsize selection

0 references

describes a project that uses

Expocon

0 references

MaRDI profile type

Publication

0 references

full work available at URL

https://doi.org/10.1007/s40819-020-00937-9

0 references

cites work

High-order commutator-free exponential time-propagation of driven quantum systems

0 references

Practical splitting methods for the adaptive integration of nonlinear evolution equations. II: Comparisons of local error estimation and step-selection strategies for nonlinear Schrödinger and wave equations

0 references

Local error structures and order conditions in terms of Lie elements for exponential splitting schemes

0 references

Practical splitting methods for the adaptive integration of nonlinear evolution equations. I: Construction of optimized schemes and pairs of schemes

0 references

Non-existence of generalized splitting methods with positive coefficients of order higher than four

0 references

<i>A posteriori</i> error estimation for Magnus-type integrators

0 references

Defect-based local error estimators for splitting methods, with application to Schrödinger equations. III: The nonlinear case

0 references

Adaptive high-order splitting methods for systems of nonlinear evolution equations with periodic boundary conditions

0 references

Defect-based local error estimators for splitting methods, with application to Schrödinger equations. I: The linear case

0 references

Defect-based local error estimators for splitting methods, with application to Schrödinger equations. II: Higher-order methods for linear problems.

0 references

Defect-based local error estimators for high-order splitting methods involving three linear operators

0 references

On the standard canonical form of time-varying linear DAEs

0 references

Splitting methods for non-autonomous separable dynamical systems

0 references

Splitting methods for non-autonomous linear systems

0 references

Splitting methods in the numerical integration of non-autonomous dynamical systems

0 references

High-order commutator-free quasi-Magnus exponential integrators for non-autonomous~linear evolution equations

0 references

Splitting and composition methods for explicit time dependence in separable dynamical systems

0 references

Splitting methods for the time-dependent Schrödinger equation

0 references

Fourth- and sixth-order commutator-free Magnus integrators for linear and nonlinear dynamical systems

0 references

Geometric Numerical Integration

0 references

Q3779682

0 references

An algorithm for computing coefficients of words in expressions involving exponentials and its application to the construction of exponential integrators

0 references

Computable upper error bounds for Krylov approximations to matrix exponentials and associated \(\varphi\)-functions

0 references

Embedded exponential operator splitting methods for the time integration of nonlinear evolution equations

0 references

Physical realization of coupled Hilbert-space mirrors for quantum-state engineering

0 references

On the exponential solution of differential equations for a linear operator

0 references

Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later

0 references

Q3994364

0 references

A new adaptive synchronization and hyperchaos control of a biological snap oscillator

0 references

High-order splitting methods for separable non-autonomous parabolic equations

0 references

Q3225340

0 references

Identifiers

zbMATH Open document ID

1469.65116

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

10.1007/S40819-020-00937-9

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2026903