Results 211 to 220 of about 2,093 (267)

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14122-14148, August 2026.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

What is the <i>point</i> of a base system? Denotation, computation and the non-integers. [PDF]

Philos Trans R Soc Lond B Biol Sci
Parkinson-Coombs O, Núñez R.
europepmc   +1 more source

Analysis of a Novel Time‐Continuous Dimer Growth Model Describing One Possible Cause of Alzheimer's Disease and a Time‐Discretization for Its Numerical Simulation

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14292-14316, August 2026.
ABSTRACT Because oligomers of the amyloid‐β$$ \beta $$ (Aβ$$ A\beta $$) protein can possibly be regarded as one main cause for progressive development of Alzheimer's disease, different mathematical models for its emergence have been proposed by different scientific groups.
Benjamin Wacker
wiley   +1 more source

Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal. [PDF]

Res Math Sci
Fink A, Giansiracusa J, Giansiracusa N, Mundinger J.   +3 more
europepmc   +1 more source

Finite‐Block Polynomial and Volterra Structure in Reservoir Computing

Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT Reservoir computing is analyzed through the algebraic structure generated by finite‐width reservoirs on fixed input blocks. For linear and quadratic logistic activations, the induced input‐to‐state map admits an exact finite Volterra representation, yielding an explicit characterization of the associated hypothesis class.
Alfio Borzì
wiley   +1 more source

The Eisenstein ideal at prime-square level has constant rank. [PDF]

Proc Natl Acad Sci U S A
Lang J, Wake P.
europepmc   +1 more source

Bidiagonal Decompositions and High‐Accuracy Computations for Newton Collocation Matrices

Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT We consider a class of collocation matrices A$$ A $$ associated with the Newton basis of the space of polynomials of degree at most n$$ n $$, evaluated at a set of l+1≥n+1$$ l+1\ge n+1 $$ nodes. In the most general setting, we allow n$$ n $$ of these nodes to either coincide with or differ from those defining the Newton basis.
E. Mainar, A. Marco, B. Rubio, R. Viaña
wiley   +1 more source

Computer-assisted construction of Ramanujan-Sato series for 1 over π. [PDF]

Ramanujan J
Hemmecke R, Paule P, Radu CS.
europepmc   +1 more source

Detecting When One Probe Vector is Enough for Preconditioned Log‐Determinant Approximation

Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT We present randomized algorithms for estimating the log‐determinant of regularized symmetric positive semi‐definite matrices. The algorithms access the matrix only through matrix vector products, and are based on the introduction of a preconditioner and stochastic trace estimator.
Alice Cortinovis, Daniele Toni
wiley   +1 more source

Integer partitions detect the primes. [PDF]

Proc Natl Acad Sci U S A
Craig W, van Ittersum JW, Ono K.
europepmc   +1 more source