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Optimal order a posteriori error estimates for a class of Runge{Kutta and Galerkin methods
error estimates Galerkin methods
2015/12/11
We derive a posteriori error estimates, which exhibit
optimal global order, for a class of time stepping methods of any
order that include Runge{Kutta Collocation (RK-C) methods and
the continuous ...
THE ASSOCIATIVE OPERAD AND THE WEAK ORDER ON THE SYMMETRIC GROUPS
Hopf algebr factorizable inverse monoid uniform block permutation
2015/8/14
We introduce the Hopf algebra of uniform block permutations and show that
it is self-dual, free, and cofree. These results are closely related to the fact that uniform
block permutations form a fact...
In this artile we review some reent work on fourth order equations in onformal geometry of three and four dimensions. We dis uss some an existene result for a Yamabe-type equation in dimension three. ...
ON UNIQUENESS OF SOLUTION OF A n-TH ORDER DIFFERENTIAL EQUATION IN CONFORMAL GEOMETRY
ON UNIQUENESS OF SOLUTION A n-TH ORDER DIFFERENTIAL EQUATION CONFORMAL GEOMETRY
2014/4/3
In this paper, we prove an uniqueness theorem for a n-th order elliptic equation on the standard n-sphere Sn. The problem arises naturally from the point of view of conformal geometry. The method we u...
On the contact equivalence problem of second order ODEs which are quadratic with respect to the second order derivative
On the contact equivalence problem of second order ODEs quadratic second order derivative Differential Geometry
2012/6/19
In the present paper we establish the necessary and sufficient conditions for two ordinary differential equations of the form $y"{}^2+A(x,y,y') y"+B(x,y,y')=0$ to be equivalent under the action of the...
Fourth order curvature flows and geometric applications
Fourth order curvature flows geometric applications
2011/1/17
We study a class of fourth order curvature flows on a compact Riemannian manifold, which
includes the gradient flows of a number of quadratic geometric functionals, as for instance the
L2 norm of th...
A Borg-Levinson theorem for higher order elliptic operators
A Borg-Levinson theorem elliptic operators
2010/11/15
We establish the Borg-Levinson theorem for elliptic operators of higher order with constant coefficients. The case of incomplete spectral data is also considered.
The Harnack inequality and related properties for solutions to elliptic and parabolic equations with divergence-free lower-order coefficients
The Harnack inequality related properties elliptic
2010/11/15
We discuss the problem how "bad" may be lower-order coefficients in elliptic and parabolic second order equations to ensure some qualitative properties of solution such as strong maximum principle, H...
Conformal geometry of surfaces in the Lagrangian--Grassmannian and second order PDE
Conformal geometry of surfaces Lagrangian--Grassmannian and second order PDE
2010/12/1
Of all real Lagrangian{Grassmannians LG(n; 2n), only LG(2; 4) admits a distinguished Lorentzian) conformal structure and hence is identi ed with the inde nite Mobius space S1;2.
Third order superintegrable systems separating in polar coordinates
superintegrable systems polar coordinates
2010/4/2
A complete classification is presented of quantum and classical superintegrable systems in $E_2$ that allow the separation of variables in polar coordinates and admit an additional integral of motion ...
Diagonal Lift in the Tangent Bundle of Order Two and its Applications
Tangent bundle of order two Riemannian metric Diagonal lift Levi-civita connection Killing vector field Geodesic
2010/2/26
In this paper we define a diagonal lift Dg of Riemannian metric g of manifold Mn to the tangent bundle of order two denoted by T2Mn of Mn, we associate to Dg its Levi-civita connection of T2 M and we ...
On the Stability Results for Third Order Differential-Operator Equations
Differential-Operator Equations Stability Global asymptotic stabilty
2010/3/5
Sufficient conditions for the stability and the global asymptotic stability of the zero solution of third order linear differential- operator equations are established.