The coercitivity of elliptic sesquilinear forms on the Sobolev spaces [Abstract of thesis]
The combination of approximate solutions for accelerating the convergence
The compact support property for measure-valued processes
The complementing condition and its role in a bifurcation theory applicable to nonlinear elasticity.
The complex reflection method for some classes of equations with the third derivative distinguished.
The concentration-compactness principle in the calculus of variations. The locally compact case, part 1
The conditioning of the stiffness matrix for certain elements approximating the incompressibility condition in fluid dynamics.
The construction of principal spectral curves for Lane-Emden systems and applications
The continuum reaction-diffusion limit of a stochastic cellular growth model
A competition-diffusion system, where populations of healthy and malignant cells compete and move on a neutral matrix, is analyzed. A coupled system of degenerate nonlinear parabolic equations is derived through a scaling procedure from the microscopic, Markovian dynamics. The healthy cells move much slower than the malignant ones, such that no diffusion for their density survives in the limit. The malignant cells may locally accumulate, while for the healthy ones an exclusion rule is considered....
The Contraction Number of a Multigrid Method for Solving the Poisson Equation.
The convergence estimates for Galerkin-wavelet solution of periodic pseudodifferential initial value problems.
The Convergence of a Direct BEM for the Plane Mixed Boundary Value Problem of the Laplacian.
The convergence of a new method for calculating lower bounds to eigenvalues
The Convergence of Even Degree Spline Collocation Solution for Potential Problems in Smooth Domains of the Plane.
The Convergence of Spline Collocation for Strongly Elliptic Equations on Curves.
The Convergence of Successive Approximations for Boundary Value Problems of Hyperbolic Equations in the Banach Space
The Convergence rate and Complexity of Precondotioned Iterative methods based on Approximate finite Element matrix Factorization
The correct use of the Lax–Friedrichs method
We are concerned with the structure of the operator corresponding to the Lax–Friedrichs method. At first, the phenomenae which may arise by the naive use of the Lax–Friedrichs scheme are analyzed. In particular, it turns out that the correct definition of the method has to include the details of the discretization of the initial condition and the computational domain. Based on the results of the discussion, we give a recipe that ensures that the number of extrema within the discretized version of...
The correct use of the Lax–Friedrichs method
We are concerned with the structure of the operator corresponding to the Lax–Friedrichs method. At first, the phenomenae which may arise by the naive use of the Lax–Friedrichs scheme are analyzed. In particular, it turns out that the correct definition of the method has to include the details of the discretization of the initial condition and the computational domain. Based on the results of the discussion, we give a recipe that ensures that the number of extrema within the discretized version...
The cost of controlling unstable systems: time irreversible systems.