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Numerical methods for H_2 related problems
Numerical convex programming quantity convex programming application
2015/8/12
Recent results have shown that several H_2 and H_2-related problems can be formulated as convex programs with a finite number of variables. We present an interior point algorithm for the solution of t...
Time domain numerical modeling of wave propagation in 2D heterogeneous porous media
porous media elastic waves Biot’s model time splitting
2011/3/2
This paper deals with the numerical modeling of wave propagation in porous media described by Biot’s theory. The viscous efforts between the fluid and the elastic skeleton are assumed to be a linear f...
Numerical modeling of transient two-dimensional viscoelastic waves
wave propagation Zener model memory variables ADER schemes
2011/3/2
This paper deals with the numerical modeling of transient mechanical waves in linear viscoelastic solids. Dissipation mechanisms are described using the Zener model.
Test of some numerical limiters for the conservative PSM scheme for 4D Drift-Kinetic simulations
numerical simulation conservative scheme ITER plasma turbulence
2011/3/2
The purpose of this work is simulation of magnetised plasmas in the ITER project framework. In this context, Vlasov-Poisson like models are used to simulate core turbulence in the tokamak in a toroida...
Mean-field/PDF numerical approach for polydispersed turbulent two-phase flows
Mean-field/PDF numerical approach polydispersed turbulent two-phase flows
2010/12/15
The purpose of this paper is to give an overview in the realm of numerical computations of
polydispersed turbulent two-phase flows, using a mean-field/PDF approach. In this approach,
the numerical s...
A conjecture of Halmos proved by Choi and Li states that the closure of the numerical range of a contraction on a Hilbert space is the intersection of the closure of the numerical ranges of all its un...
Energy-preserving numerical schemes of high accuracy for one-dimensional Hamiltonian systems
geometric numerical integration long time numerical evolution
2010/12/15
We present a class of non-standard numerical schemes which are modifications of the discrete gradient method. They preserve the energy integral exactly (up to the round-off error). The considered clas...
A Numerical Scheme for the Quantum Boltzmann Equation Efficient in the Fluid Regime
Numerical Scheme Quantum Boltzmann Equation Efficient
2010/12/8
Numerically solving the Boltzmann kinetic equations with the small Knudsen number is challenging due to the stiff nonlinear collision term. A class of asymptotic preserving schemes
was introduced in ...
Multi-component generalizations of the {CH} equation: Geometrical Aspects, Peakons and Numerical Examples
Multi-component generalizations {CH} equation Geometrical Aspects Peakons Numerical Examples
2010/12/16
The Lax pair formulation of the two-component Camassa-Holm equation (CH2) is generalized to produce an integrable multi-component family, CH(n,k), of equations with n components and 1 jkj n veloci...
Numerical Computation of a Certain Dirichlet Series Attached to Siegel Modular Forms of Degree Two
Dirichlet Series Attached Siegel Modular Forms Degree Two
2010/12/8
The Rankin convolution type Dirichlet series DF,G(s) of Siegel modular forms F and G of degree two, which was introduced by Kohnen and the second author, is computed numerically for various F and G.
Mathematical and numerical analysis of a model for anti-angiogenic therapy in metastatic cancers
Anticancer therapy modelling Angiogenesis Structured population dynamics
2010/12/8
We introduce and analyze a phenomenological model for anti-angiogenic therapy in the treatment
of metastatic cancers. It is a structured transport equation with a nonlocal boundary condition de-scrib...
Valid Physical Processes from Numerical Discontinuities in Computational Fluid Dynamics
Numerical Discontinuities Computational Fluid Dynamics
2010/12/10
Due to the limited cell resolution in the representation of flow variables, a piecewise continuous initial reconstruction with discontinuous jump at a cell interface is usually used in modern computat...
A numerical algorithm for the explicit calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients
numerical algorithm explicit calculation Clebsch-Gordan coefficients
2010/11/29
We present an algorithm for the explicit numerical calculation of SU(N) and SL(N;C) Clebsch-Gordan coecients, based on the Gelfand-Tsetlin pattern calculus. Our algorithm is well suited for numerical...