5 papers
An Immersed Interface Method for Parabolic Interface Problems with Nonlinear Jump Conditions
So-Hsiang Chou, Patrick Nyadjo Fonga
We develop an immersed interface finite difference method for a one-dimensional nonlinear parabolic interface problem with jump condition \[ [u]_α=λu^+u^-. \] The method combines a…
Second-Order Accuracy from Large Local Errors in Interface Problems: A Discrete Green's Function Analysis
So-Hsiang Chou, Patrick Nyadjo Fonga
Finite difference methods for interface problems often exhibit large local truncation errors near the interface, particularly when discontinuities in coefficients or solution deriv…
The Multiplicative Persistence Conjecture: Resolving the \(2\)-Adic Obstruction for Nonzero Even Targets
Patrick Nyadjo Fonga
The multiplicative persistence problem studies the process of repeatedly replacing a positive integer by the product of its digits until a single digit, called the terminal digit,…
On Groups of Linear Fractional Transformations Stabilizing Finite Sets of Four Elements
Patrick Nyadjo Fonga
Let be a subset of the projective line over a commutative field . When has infinite cardinality, it is well known that if contains at most three el…
Extreme values of the Dedekind zeta function on the critical line
Patrick Nyadjo Fonga
By employing the assessment of the asymptotic size of various sums of Gál studied by La Bretèche and Tenenbaum, we provide an improvement on the recent result of A. Bondarenko, P.…