23 papers · ranked by Valyu relevance
Yuji Masutomi, Kazuhiko Kobayashi
The photosynthesis–transpiration–stomatal conductance (A_n_–E–g_s_) model framework is widely used for estimating photosynthesis, transpiration, and stomatal conductance in plants. The model equations are solved by numerical iteration, and the converged model values are deemed the solution. However, there has been no…
Radu Ioan Boţ, Dang-Khoa Nguyen, Chunxiang Zong
In this paper, we derive a Fast Reflected Forward-Backward (Fast RFB) algorithm to solve the problem of finding a zero of the sum of a maximally monotone operator and a monotone and Lipschitz continuous operator in a real Hilbert space. Our approach extends the class of reflected forward-backward methods by introducing…
François Alouges, Giovanni Di Fratta, Alberto Fiorenza, Renato Fiorenza
We present a unified fixed-point construction of the elementary transcendental functions, encompassing the real exponential, the complex exponential (sine and cosine), and the natural logarithm. Each function is characterized as the unique solution of a duplication identity established through the Banach contraction…
Theodoros Anagnostopoulos, Evanthia Zervoudi, Christos Anagnostopoulos, Apostolos Christopoulos + 1 more
Linear regression analysis focuses on predicting a numeric regressand value based on certain regressor values. In this context, k-Nearest Neighbors (k-NN) is a common non-parametric regression algorithm, which achieves efficient performance when compared with other algorithms in literature. In this research effort an…
Bowen Gao, Daniel Kressner, Meiyue Shao
Mixed precision algorithms can significantly enhance the performance of linear algebra solvers by leveraging increasingly powerful low precision hardware while recovering working precision accuracy through, for example, iterative refinement. In this paper, we propose a novel mixed precision algorithm for computing…
Lingyi Chen, Haoran Tang, Hao Wu, Huihui Wu + 3 more
Numerical computation of the rate-distortion (RD) function is a key problem in RD theory. Thus far, efficient algorithms have been well studied for discrete sources, but for continuous sources, there is still lack of a rigorously developed solution. In this article, an integrated approach is conducted that bridges RD…
Dario A. Bini, Massimiliano Fasi, Bruno Iannazzo
We consider the numerical evaluation of the quantity Af(A − 1B), where A is Hermitian positive definite, B is Hermitian, and f is a function defined on the spectrum of A − 1B. We study the conditioning of the problem, and we introduce several algorithms that combine the Schur decomposition with either the matrix square…
Wei Zhang, Liangli Chen, Mohammed Jasim Mohammed Alfahdawi
Barycentric rational interpolation is characterized by excellent numerical stability, high approximation accuracy, and strong adaptability to node distribution. In this paper, we propose a high-precision barycentric rational interpolation collocation method to provide approximate solutions for both linear and nonlinear…
Jinwei Qiao, Yuanyang Qiao, Yinnian He, Miguel Rubi
It is well known that the Cahn-Hilliard equation satisfies the energy dissipation law and the mass conservation property. Recently, the radial basis function-finite difference (RBF-FD) approach and its numerous variants have garnered significant attention for the numerical solution of surface-related problems, owing to…
J. Ibáñez, J. Sastre, J. M. Alonso, E. Defez
Computing numerical approximations of matrix functions frequently relies on the efficient evaluation of high-degree matrix polynomials. Although computational bounds are historically governed by the Paterson--Stockmeyer (PS) method, recent theoretical developments have demonstrated the viability of evaluation schemes…
Adam Długosz, Anna Korczak, Antonio Santagata
The paper uses the model of the coupled Boltzmann transport equations, numerically modeled using the lattice Boltzmann method, which describes the impact of an ultra-short laser on thin metal surfaces. The main reason for using this method is the need to create an appropriate model on a very small scale, both in terms…
Andrea Polo-Rodríguez, David R. Penas, Julio R. Banga
Parameter estimation is a central challenge in systems biology, particularly for large dynamic models described by nonlinear ordinary differential equations (ODEs). These global optimization problems exhibit landscapes which are topologically heterogeneous, often exhibiting a pathological mixture of stiff, smooth…
Shadimetov, Kh. M., R.S. Karimov
This work presents problems of constructing finite-difference formulas in the Hilbert space, i.e., setting problems of constructing finite-difference formulas using functional methods. The work presents a functional statement of the problem of optimizing finite-difference formulas in the space W (m,m−1) 2 (0, 1). Here…
Rudra Prakash, Shaunak Sen
The paper addresses the critical challenge of accurately characterising steady states in biomolecular systems, which are often complex, nonlinear, multistable and subject to significant uncertainties. Traditional numerical methods often fail to provide complete or guaranteed solutions under these conditions. To…
Changin Oh, Kathleen P. Wilkie
We present the Toroidal Search Algorithm (TSA), a novel population-based metaheuristic optimization method inspired by the topology of a torus. Conventional metaheuristics frequently suffer from boundary stagnation, a phenomenon that severely degrades performance in bounded and high-dimensional search spaces. TSA…
Authors not listed
We introduce an open-source program that converts molecular dynamics trajectories into disconnectivity graphs, providing a concise and interpretable visualisation of the energy landscape that has been traversed. Our approach applies Savitzky–Golay smoothing to per-frame thermodynamic traces (potential energy in NVE/NVT…
Authors not listed
Terminally labeled DNA oligonucleotides have wide applications in modern biology and biotechnological applications. It has been observed that the fluorescent intensity of light released from these fluorescent labels is heavily influenced by the terminal sequence of nucleotides. Recent studies have assayed and published…
Mateus Braga Oliveira, Heder Soares Bernardino, Alex Borges Vieira, Antônio Arbex Barroso + 1 more
The automated classification of animals from photos is important in ecology and conservation biology for organizing and understanding the immense diversity of species, as well as facilitating effective conservation and management practices. It is equally important for disease surveillance systems, allowing prompt…
Authors not listed
The Hidden Subgroup Problem (HSP) unifies several landmark quantum algorithms, yet systematic exploration of its variants and modern applications has slowed. This paper revives HSP-based algorithm design by examining new group structures with direct relevance to post-quantum cryptography, lattice problems, and…
Rafał Brociek, Agata Wajda, Christian Napoli, Giacomo Capizzi + 4 more
This article presents an algorithm for solving the direct and inverse problem for a model consisting of a fractional differential equation with non-integer order derivatives with respect to time and space. The Caputo derivative was taken as the fractional derivative with respect to time, and the Riemann-Liouville…
Authors not listed
Recent advances in machine learning force fields (MLFF) have significantly extended the reach of atomistic simulations. Continuous progress in this field requires reliable reference datasets, accurate MLFF architectures, and efficient active learning strategies to enable robust modeling of complex molecular and…
Sumedh S Nagrale, Alik S Widge
The use of Deep Brain Stimulation (DBS) on the ventral capsule/ventral striatum (VCVS) has therapeutic potential for patients with refractory psychiatric disorders, but clinical success is impeded by the need for a time-consuming and trial-and-error process when setting the parameters, this process relying on…
Authors not listed
Building on prior mathematical formulations of the periodic law, this paper demonstrates that the algebraic formula S(k) = 2 * (floor(k/2) + 1)^2 accurately predicts the period lengths (2, 8, 8, 18, 18, 32, ...) of the periodic table. This pattern is not a numerical coincidence but a direct consequence of the…