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A new class of methods for solving systems of nonlinear equations is introduced. The main idea is to build a linear model using a population of previous iterates. Contrarily to classical secant methods, where exact interpolation is used, we prefer a least ...
In this paper a family of one-dimensional nonlinear systems which model the blood pulse propagation in compliant arteries is presented and investigated. They are obtained by averaging the Navier-Stokes equation on each section of an arterial vessel and usi ...
A simple model based on dislocation theory allows the construction of a fully defined system of differential equations and the calculation of curves that correspond to different mechanical tests such as stress relaxation, the creep test and the imposed stra ...
A relatively new field, domain composition methods draw on parallel computing techniques and are proving a powerful approach to the numerical solution of partial differential equations. This book illustrates the basic mathematical concepts and looks at a l ...
We discuss the numerical solution of the 3-D Maxwell's equations in general curvilinear coordinates using a multidomain pseudospectral (Chebyshev collocation) scheme. The formulation of the equations and the method as well as the multidomain patching proce ...
The computation of glacier movements leads to a system of nonlinear partial differential equations. The existence and uniqueness of a weak solution is established by using the calculus of variations. A discretization by the finite element method is done. T ...
A one-dimensional (1-D) multi-component model accounting for hydrological transport inorganic equilibrium chemistry and microbial activity during kinetically controlled biodegradation in groundwater of compounds such as benzene, toluene, ethylbenzene and x ...
We develop a full numerical as well as an approximate analytic solution for two-step holographic recording with high intensity pulses in LiNbO3:Fe crystals. We find the unknown material parameters by fitting the numerical solution to the experimental resul ...
Applications of mesh adaptation techniques could be found in the numerical solution of PDE's or in the optimal triangulation of surfaces for shape representation or graphic display. The scope of this work is to verify through numerical experiments the effe ...
We solve numerically in one dimension and in the self-consistent ladder approximation the many-body problem of interacting electrons and holes. The model contains the minimal ingredients allowing to take into account the coexistence of a population of boun ...
