Geodesic

Sommaire du Fascicule no. 1

In memoriam David Gottlieb 1944-2008
p. 1
Symplectic Pontryagin approximations for optimal design
p. 3-32
A finite element discretization of the contact between two membranes
p. 33-52
Numerical simulation of gluey particles
p. 53-80
Path following methods for steady laminar Bingham flow in cylindrical pipes
p. 81-117
Mathematical analysis of the optimizing acquisition and retention over time problem
p. 119-137
Approximation of maximal Cheeger sets by projection
p. 139-150
Exponential convergence to equilibrium via Lyapounov functionals for reaction-diffusion equations arising from non reversible chemical kinetics
p. 151-172
Numerical computation of solitons for optical systems
p. 173-208

Sommaire du Fascicule no. 2

A semi-smooth Newton method for solving elliptic equations with gradient constraints
p. 209-238
Asymptotic and numerical modelling of flows in fractured porous media
p. 239-275
Mimetic finite differences for elliptic problems
p. 277-295
Plane wave discontinuous Galerkin methods : analysis of the h-version
p. 297-331
A central scheme for shallow water flows along channels with irregular geometry
p. 333-351
A posteriori error analysis of Euler-Galerkin approximations to coupled elliptic-parabolic problems
p. 353-375
Convergence results of the fictitious domain method for a mixed formulation of the wave equation with a Neumann boundary condition
p. 377-398

Sommaire du Fascicule no. 3

Numerical approaches to rate-independent processes and applications in inelasticity
p. 399-428
A multilevel preconditioner for the mortar method for nonconforming P1 finite element
p. 429-444
Spectral Galerkin approximation of Fokker-Planck equations with unbounded drift
p. 445-485
A multiplicative Schwarz method and its application to nonlinear acoustic-structure interaction
p. 487-506
A kinetic approach to the study of opinion formation
p. 507-522
Free-energy-dissipative schemes for the Oldroyd-B model
p. 523-561
Stability and convergence of two discrete schemes for a degenerate solutal non-isothermal phase-field model
p. 563-589
An analysis of the effect of ghost force oscillation on quasicontinuum error
p. 591-604

Sommaire du Fascicule no. 4

Special issue on Numerical ODEs today

Preface
p. 605-606
An algebraic theory of order
p. 607-630
On energy conservation of the simplified Takahashi-Imada method
p. 631-644
Energy-preserving Runge-Kutta methods
p. 645-649
Propagation of Gevrey regularity over long times for the fully discrete Lie Trotter splitting scheme applied to the linear Schrödinger equation
p. 651-676
Plane wave stability of some conservative schemes for the cubic Schrödinger equation
p. 677-687
Gradient descent and fast artificial time integration
p. 689-708
Regularization of nonlinear ill-posed problems by exponential integrators
p. 709-720
Towards effective dynamics in complex systems by Markov kernel approximation
p. 721-742
A Metropolis adjusted Nosé-Hoover thermostat
p. 743-755
Analysis of the accuracy and convergence of equation-free projection to a slow manifold
p. 757-784
On highly oscillatory problems arising in electronic engineering
p. 785-804
A model of macroscale deformation and microvibration in skeletal muscle tissue
p. 805-823

Sommaire du Fascicule no. 5

Stable upwind schemes for the magnetic induction equation
p. 825-852
Mixed approximation of eigenvalue problems : a superconvergence result
p. 853-865
Guaranteed and robust a posteriori error estimates for singularly perturbed reaction-diffusion problems
p. 867-888
Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows
p. 889-927
A convergence result for finite volume schemes on riemannian manifolds
p. 929-955
Postprocessing of a finite volume element method for semilinear parabolic problems
p. 957-971
Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities
p. 973-1001
A posteriori estimates for the Cahn-Hilliard equation with obstacle free energy
p. 1003-1026

Sommaire du Fascicule no. 6

Wetting on rough surfaces and contact angle hysteresis : numerical experiments based on a phase field model
p. 1027-1044
Consistent stable difference schemes for nonlinear Black-Scholes equations modelling option pricing with transaction costs
p. 1045-1061
Relaxation and numerical approximation of a two-fluid two-pressure diphasic model
p. 1063-1097
Improved successive constraint method based a posteriori error estimate for reduced basis approximation of 2D Maxwell's problem
p. 1099-1116
A heterogeneous alternating-direction method for a micro-macro dilute polymeric fluid model
p. 1117-1156
Discretization methods with analytical characteristic methods for advection-diffusion-reaction equations and 2d applications
p. 1157-1183
A finite element discretization of the three-dimensional Navier-Stokes equations with mixed boundary conditions
p. 1185-1201
Convergence and quasi-optimal complexity of a simple adaptive finite element method
p. 1203-1219