High-degree precision decomposition method for an evolution problem.
High-electric-field limit for the Vlasov–Maxwell–Fokker–Planck system
Higher asymptotics of the complex Monge-Ampère equation
Higher integrability for maximal oscillatory Fourier integrals.
Higher integrability for weak solutions of higher order degenerate parabolic systems.
Higher integrability of the gradient in linear elasticity.
Higher order estimates in further dimensions for the solutions of Navier-Stokes equations
Higher order finite element approximation of a quasilinear elliptic boundary value problem of a non-monotone type
A nonlinear elliptic partial differential equation with homogeneous Dirichlet boundary conditions is examined. The problem describes for instance a stationary heat conduction in nonlinear inhomogeneous and anisotropic media. For finite elements of degree we prove the optimal rates of convergence in the -norm and in the -norm provided the true solution is sufficiently smooth. Considerations are restricted to domains with polyhedral boundaries. Numerical integration is not taken into account....
Higher order nonlinear degenerate elliptic problems with weak monotonicity.
Higher order nonlinear partial differential equations in unbounded domains of
Higher regularity for nonlinear oblique derivative problems in Lipschitz domains
There is a long history of studying nonlinear boundary value problems for elliptic differential equations in a domain with sufficiently smooth boundary. In this paper, we show that the gradient of the solution of such a problem is continuous when a directional derivative is prescribed on the boundary of a Lipschitz domain for a large class of nonlinear equations under weak conditions on the data of the problem. The class of equations includes linear equations with fairly rough coefficients as well...
Higher regularity of weak solutions of strongly nonlinear elliptic equations
Higher-order differential equations represented by connections on prolongations of a fibered manifold.
The main goal of the present work is a generalization of the ideas, constructions and results from the first and second-order situation, studied in [63], [64] to that of an arbitrary finite-order one. Moreover, the investigation extends the ideas of [65] from the one-dimensional base X corresponding to O.D.E.
Higher-order equations of the KdV type are integrable.
Higher-order KdV-type equations and their stability.
Highfrequency asymptotics of the field scattered by an obstacle near tangential rays.
Highly anisotropic nonlinear temperature balance equation and its numerical solution using asymptotic-preserving schemes of second order in time
This paper deals with the numerical study of a nonlinear, strongly anisotropic heat equation. The use of standard schemes in this situation leads to poor results, due to the high anisotropy. An Asymptotic-Preserving method is introduced in this paper, which is second-order accurate in both, temporal and spacial variables. The discretization in time is done using an L-stable Runge−Kutta scheme. The convergence of the method is shown to be independent of the anisotropy parameter , and this for fixed...
Highly degenerate quasilinear parabolic systems
High-order compact implicit difference methods for parabolic equations in geodynamo simulation.
High-order finite difference schemes and Toeplitz based preconditioners for elliptic problems.