Add to ORKGLaplace’s equation is a partial differential equation of the second order, which has a different use in mathematical physics (electrostatistics, mechanics, thermodynamics, etc.). Frequently also boundary condition is added (Dirichlet’s problem). The solution to this problem is well known. Our goal in this study is to develop an optimal method of recovery of the solution based on information we have on hand about the function (the function is not fully known. For example is known at N equally spaced points) and to compute the optimal error between the actual solution and the recovered one. We also consider similar question for Poisson’s equation
In this paper, using Riemann-Liouville integral and Caputo derivative, we study an n−dimensional cou...
This note is to provide a refinement of the convergence analysis of the new exact penalty function m...
AbstractThe second order of accuracy difference scheme for the approximate solutions of the nonlocal...
Laplace’s equation is a partial differential equation of the second order, which has a different use...
Laplace’s equation is a partial differential equation of the second order, which has a different use...
The purpose of this paper is to investigate the existence of three different weak solutions to a non...
AbstractThe numerical-analytic method is applied to a class of nonlinear differential-algebraic syst...
By using the hodograph transform we are able to solve a Dirichlet problem for the $\infty$-Laplace e...
summary:In this paper we investigate the problem of existence and asymptotic behavior of solutions f...
summary:In this paper we investigate the problem of existence and asymptotic behavior of solutions f...
AbstractIn this work we obtain results on the estimates of low Sobolev norms for solutions of some n...
24 pagesIn this article, we study the existence of positive solutions to elliptic equation (E1) $$(-...
24 pagesIn this article, we study the existence of positive solutions to elliptic equation (E1) $$(-...
AbstractIn this paper, regularity criteria for a simplified Ericksen–Leslie system and the viscous C...
The paper presents an algorithm of adaptation by successive mesh regeneration and its application to...
In this paper, using Riemann-Liouville integral and Caputo derivative, we study an n−dimensional cou...
This note is to provide a refinement of the convergence analysis of the new exact penalty function m...
AbstractThe second order of accuracy difference scheme for the approximate solutions of the nonlocal...
Laplace’s equation is a partial differential equation of the second order, which has a different use...
Laplace’s equation is a partial differential equation of the second order, which has a different use...
The purpose of this paper is to investigate the existence of three different weak solutions to a non...
AbstractThe numerical-analytic method is applied to a class of nonlinear differential-algebraic syst...
By using the hodograph transform we are able to solve a Dirichlet problem for the $\infty$-Laplace e...
summary:In this paper we investigate the problem of existence and asymptotic behavior of solutions f...
summary:In this paper we investigate the problem of existence and asymptotic behavior of solutions f...
AbstractIn this work we obtain results on the estimates of low Sobolev norms for solutions of some n...
24 pagesIn this article, we study the existence of positive solutions to elliptic equation (E1) $$(-...
24 pagesIn this article, we study the existence of positive solutions to elliptic equation (E1) $$(-...
AbstractIn this paper, regularity criteria for a simplified Ericksen–Leslie system and the viscous C...
The paper presents an algorithm of adaptation by successive mesh regeneration and its application to...
In this paper, using Riemann-Liouville integral and Caputo derivative, we study an n−dimensional cou...
This note is to provide a refinement of the convergence analysis of the new exact penalty function m...
AbstractThe second order of accuracy difference scheme for the approximate solutions of the nonlocal...