Results 71 to 80 of about 617 (138)
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 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
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
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
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$\mathbb {Q}$
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 least squares finite element method to multi-species modeling of negative DC corona discharges in point-to-plane configurations. [PDF]
Majazi S +3 more
europepmc +1 more source
A Matrix‐Free, Scalable, and Robust Implicit Material Point Method
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
Construction of Arbitrary-Order Internal Coordinate Transformations to Improve Studies of Large-Amplitude Motions. [PDF]
Boyer MA, Tabor DP.
europepmc +1 more source
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

