activity
20012019
most citedNew stable, explicit, first order method to solve the heat conduction equation

17 citations · 53 across the 8 of their papers we have counts for

collaborators

8 papers

physics.comp-ph2019★ 17 cited

New stable, explicit, first order method to solve the heat conduction equation

Endre Kovács

We introduce a novel explicit and stable numerical algorithm to solve the spatially discretized heat or diffusion equation. We compare the performance of the new method with analyt…

cs.CE2019★ 7 cited

New stable method to solve heat conduction problems in extremely large systems

Endre Kovács, András Gilicz

We present a new explicit and stable numerical algorithm to solve the homogeneous heat equation. We illustrate the performance of the new method in the cases of two 2D systems with…

cond-mat.str-el2009★ 13 cited

Correlation and confinement induced itinerant ferromagnetism in chain structures

Reka Trencsenyi, Endre Kovacs, Zsolt Gulacsi

Using a positive semidefinite operator technique one deduces exact ground states for a zig-zag hexagon chain described by a non-integrable Hubbard model with on-site repulsion. Fla…

cond-mat.str-el2006★ 5 cited

Exact ground states for the four-electron problem in a two-dimensional finite Hubbard square system

Endre Kovacs, Zsolt Gulacsi

We present exact explicit analytical results describing the exact ground state of four electrons in a two dimensional square Hubbard cluster containing 16 sites taken with periodic…

cond-mat.str-el2006★ 2 cited

Exact ground states for the four-electron problem in a Hubbard ladder

Endre Kovacs, Zsolt Gulacsi

The exact ground state of four electrons in an arbitrary large two leg Hubbard ladder is deduced from nine analytic and explicit linear equations. The used procedure is described,…

cond-mat.str-el2006★ 3 cited

Four electrons in a two-leg Hubbard ladder: exact ground states

Endre Kovacs, Zsolt Gulacsi

In the case of a two-leg Hubbard ladder we present a procedure which allows the exact deduction of the ground state for the four particle problem in arbitrary large lattice system,…