Comparison of time stepping schemes on the cable equation.
A proof of Hölder's inequality using the Cauchy-Schwarz inequality.
On local -times integrated -semigroups.
Symplectic analytical solutions for the magnetoelectroelastic solids plane problem in rectangular domain.
An Integrated Planning of Production and Distribution for Multiple Suppliers
Generalized limits and a mean ergodic theorem
For a given linear operator L on with ∥L∥ = 1 and L(1) = 1, a notion of limit, called the L-limit, is defined for bounded sequences in a normed linear space X. In the case where L is the left shift operator on and , the definition of L-limit reduces to Lorentz’s definition of σ-limit, which is described by means of Banach limits on . We discuss some properties of L-limits, characterize reflexive spaces in terms of existence of L-limits of bounded sequences, and formulate a version of the abstract...
Progress in developing Poisson-Boltzmann equation solvers
This review outlines the recent progress made in developing more accurate and efficient solutions to model electrostatics in systems comprised of bio-macromolecules and nanoobjects, the last one referring to objects that do not have biological function themselves but nowadays are frequently used in biophysical and medical approaches in conjunction with bio-macromolecules. The problem of modeling macromolecular electrostatics is reviewed from two different angles: as a mathematical task provided...
Boundedness and growth orders of means of discrete and continuous semigroups of operators
We discuss implication relations for boundedness and growth orders of Cesàro means and Abel means of discrete semigroups and continuous semigroups of linear operators. Counterexamples are constructed to show that implication relations between two Cesàro means of different orders or between Cesàro means and Abel means are in general strict, except when the space has dimension one or two.
Page 1