zbMath0902.34051MaRDI QIDQ1390754
Folkmar A. Bornemann
Publication date: 16 July 1998
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Weak convergence and averaging for ODE,
Long-term analysis of the Störmer-Verlet method for Hamiltonian systems with a solution-dependent high frequency,
Convergence of generalized-\(\alpha\) time integration for nonlinear systems with stiff potential forces,
Braiding fluxes in Pauli Hamiltonian,
Model reduction via parametrized locally invariant manifolds: Some examples,
General adiabatic evolution with a gap condition,
Long-time analysis of an extended RKN integrator for Hamiltonian systems with a solution-dependent high frequency,
Homogenization and singular perturbation in porous media,
Strong degenerate constraining in Lagrangian dynamics,
Examining the smooth and nonsmooth discrete element approaches to granular matter,
Derivation of Kubo's formula for disordered systems at zero temperature,
Distance geometry algorithms in molecular modelling of polymer and composite systems.,
Adiabatic theorems for generators of contracting evolutions,
Discontinuous solutions in the optimal control problems and their representation by singular space-time transformations,
Effective dynamics for particles coupled to a quantized scalar field,
Permuting quantum eigenmodes by a quasi-adiabatic motion of a potential wall,
On a computational approach for the approximate dynamics of averaged variables in nonlinear ODE systems: toward the derivation of constitutive laws of the rate type,
Numerical solution of penalty formulations for constrained mechanical systems using heterogeneous multiscale methods,
Controllable systems with impacts,
An ergodic sampling scheme for constrained Hamiltonian systems with applications to molecular dynamics,
Strong elastic constraints in mechanics: a multi-valued averaging approach,
Schrödinger equation in moving domains,
Time-parallel multiscale/multiphysics framework,
PID controller singularly perturbing impulsive differential equations and optimal control problem,
Adiabatic theorems for general linear operators with time-independent domains,
From atoms to crystals: a mathematical journey,
Probabilistic error bounds on constraint violation for empirical-analytical Lagrangian models of motion,
Effective Hamiltonians for Constrained Quantum Systems,
Second-order fast-slow dynamics of non-ergodic Hamiltonian systems: thermodynamic interpretation and simulation,
Smoothed Langevin dynamics of highly oscillatory systems,
Numerical Integrators for Motion under a Strong Constraining Force,
Multiple time scales in classical and quantum-classical molecular dynamics,
Second-order asymptotic expansion and thermodynamic interpretation of a fast-slow Hamiltonian system,
Periodic solutions for Hamiltonian systems under strong constraining forces