Found 10363 results, showing the newest relevant preprints. Sort by relevancy only.Update me on new preprints

Efficient Multi-Configurational Wavefunction Method with Dynamical Correlation Using Non-Orthogonal Configuration Interaction Singles and Doubles (NOCISD)

The equations defining the NOCISD wavefunction commonly require the solution a poorly condition generalized eigenvalue problem, which we avoid by projecting the equations to a small dimension space defined by the CISD eigenvectors of each reference determinant. Expand abstract.
18279 days ago
4/10 relevant
chemRxiv

Effective Hamiltonians Derived from Equation-of-Motion Coupled-Cluster Wave-Functions: Theory and Application to the Hubbard and Heisenberg Hamiltonians

We report the key equations and illustrate the theory by examples of systems with electronic states of covalent and ionic characters. Expand abstract.
18279 days ago
6/10 relevant
chemRxiv

Stability Analysis of Delayed Age-structured Resource Consumer Model of Population Dynamics with Saturated Intake Rate

While the consumer population dynamics are described by a semi-linear transport equation with delay, resource dynamics are described by ordinary differential equations. Expand abstract.
18 hours ago
4/10 relevant
bioRxiv

Residual Compressive Strength of Short Tubular Steel Columns with Local Corrosion Damage

The percentage error using the presented equation was found to be within 11.4%. Expand abstract.
1 day ago
4/10 relevant
Preprints.org

SelectNet: Self-paced Learning for High-dimensional Partial Differential Equations

The residual method with deep neural networks as function parametrization has been applied to solve certain high-dimensional partial differential equations (PDEs) successfully; however, its convergence is slow and might not be guaranteed even within a simple class of PDEs. Expand abstract.
3 days ago
6/10 relevant
arXiv

Primary ideals and their differential equations

An ideal in a polynomial ring encodes a system of linear partial differential equations with constant coefficients. Expand abstract.
3 days ago
9/10 relevant
arXiv

On a class of Lebesgue-Ljunggren-Nagell type equations

Given odd, coprime integers $a$, $b$ ($a>0$), we consider the Diophantine equation $ax^2+b^{2l}=4y^n$, $x, y\in\Bbb Z$, $l \in \Bbb N$, $n$ odd prime, $\gcd(x,y)=1$. Expand abstract.
3 days ago
6/10 relevant
arXiv

New mathematical modelling tools for co-culture experiments: when do we need to explicitly account for signalling molecules?

We provide additional mathematical insight into these two stochastic models by deriving continuum limit partial differential equation descriptions of both models. Expand abstract.
3 days ago
4/10 relevant
bioRxiv

Universal Differential Equations for Scientific Machine Learning

We show how UDEs can be utilized to discover previously unknown governing equations, accurately extrapolate beyond the original data, and accelerate model simulation, all in a time and data-efficient manner. Expand abstract.
4 days ago
7/10 relevant
arXiv

An adaptive discontinuous Petrov-Galerkin method for the Grad-Shafranov equation

The DPG scheme has the advantage of providing more accurate gradients compared to conventional finite element methods, which is desired for numerical solutions to the Grad-Shafranov equation. Expand abstract.
4 days ago
6/10 relevant
arXiv