Results 71 to 80 of about 617 (138)

Physics‐Informed Machine Learning Framework to Retroactively Estimate Mantle Thermal Convection From Partial Geophysical Observations

open access: yesJournal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 4, August 2026.
Abstract Mantle convection drives the solid Earth, powering plate motions, volcanism, and earthquakes while regulating planetary heat loss. Reconstructing its history is hampered by sparse, noisy observations concentrated near the surface and the present day. Here I develop an inverse physics‐informed neural network framework to estimate mantle thermal
Atsushi Nakao
wiley   +1 more source

A neutron microscope using a nested Wolter‐I condenser and a bank of diffractive–refractive achromatic objectives

open access: yesJournal of Applied Crystallography, Volume 59, Issue 4, Page 1282-1293, August 2026.
A neutron microscope is presented comprising a Wolter‐I nested mirror optic as condenser and a 2D array of neutron achromats as objective.We present a nested Wolter‐I mirror design for a neutron condenser, which is based on established X‐ray telescope technology.
H. F. Poulsen   +12 more
wiley   +1 more source

The Mathematical History Behind the Granger–Johansen Representation Theorem

open access: yesOxford Bulletin of Economics and Statistics, Volume 88, Issue 4, Page 587-602, August 2026.
ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
wiley   +1 more source

Kitaoka's conjecture and sums of squares

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.
Abstract We connect the existence of a ternary classical universal quadratic form over a totally real number field K$K$ with the property that all totally positive multiples of 2 are sums of squares (if K$K$ does not contain 2$\sqrt{2}$ or contains a nonsquare totally positive unit).
Vítězslav Kala   +2 more
wiley   +1 more source

Derivations as algebras

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract Differential categories provide the categorical foundations for the algebraic approaches to differentiation. They have been successful in formalizing various important concepts related to differentiation, such as, in particular, derivations. In this paper, we show that the differential modality of a differential category lifts to a monad on ...
Jean‐Simon Pacaud Lemay, Chiara Sava
wiley   +1 more source

On 7‐adic Galois representations for elliptic curves over Q$\mathbb {Q}$

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract In recent years, significant progress has been made on Mazur's Program B, with many authors beginning a systematic classification of all possible images of p$p$‐adic Galois representations attached to elliptic curves over Q$\mathbb {Q}$. Currently, the classification is only complete for p∈{2,3,13,17}$p \in \lbrace 2,3,13,17\rbrace$.
Lorenzo Furio, Davide Lombardo
wiley   +1 more source

A Matrix‐Free, Scalable, and Robust Implicit Material Point Method

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT An implicit material point method is presented using a new dynamic relaxation solver, allowing for a simple and efficient quasi‐static formulation that may be readily implemented in existing explicit‐dynamic codes. The use of dynamic relaxation and aggregation is shown to produce an extremely robust material point method scheme, with good ...
Sam J. V. Sutcliffe   +5 more
wiley   +1 more source

Numerical Anisotropy and Band‐Gap Formation in Finite Element Wave Propagation: Analysis and Mitigation Using Spline‐Based Elements

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT Numerical anisotropy and dispersion are inherent consequences of spatial discretization in finite element modeling of wave propagation. In two‐dimensional problems, these effects manifest not only as direction‐dependent phase and group velocities but also as angularly dependent numerical band gaps that may entirely suppress wave propagation ...
Wiktor Waszkowiak   +3 more
wiley   +1 more source

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