Results 51 to 60 of about 884,568 (273)

Customized Itinerant Frequency Combs by Cascaded Nonlinear Effects

Advanced Science, EarlyView.
A cascaded third‐order nonlinear system generates an itinerant frequency comb with the comb center frequency decoupled from the cavity resonance. This enables arbitrary spectral scaling, flexible spacing adjustments, and real‐time central‐frequency engineering, allowing comb splicing and subdivision. The resulting versatility and reconfigurability open
Yi Wang, Yulong Liu, Zeji Li, Wenyan Wang, Sihan Wang, Cheng Wang, Jingwei Zhou, Jie‐Qiao Liao, Tiefu Li   +8 more
wiley   +1 more source

Longitudinal Awake Mouse Brain Imaging Using Functional Ultrasound and Functional Ultrasound Localization Microscopy

Advanced Science, EarlyView.
Awake longitudinal multimodal ultrasound imaging integrates functional ultrasound (fUS), ultrasound localization microscopy (ULM), and functional ULM (fULM) to characterize cerebrovascular function, microvascular architecture, and flow dynamics within the same animals over time.
Zhe Huang, Yike Wang, Matthew R. Lowerison, Yue Xu, Murong Yi, Bing‐Ze Lin, YiRang Shin, Nathiya Vaithiyalingam Chandra Sekaran, Daniel A. Llano, Pengfei Song   +9 more
wiley   +1 more source

The numerical solution of a Fredholm integral equations of the second kind by the weighted optimal quadrature formula

Results in Applied Mathematics
This work considers the optimal quadrature formula in a Hilbert space for the numerical approximation of the integral equations. It discusses the sequence of solving integral equations with quadrature formulas.
Abdullo Hayotov, Samandar Babaev
doaj   +1 more source

Discrete Mixed Petrov-Galerkin Finite Element Method for a Fourth-Order Two-Point Boundary Value Problem

International Journal of Mathematics and Mathematical Sciences, 2012
A quadrature-based mixed Petrov-Galerkin finite element method is applied to a fourth-order linear ordinary differential equation. After employing a splitting technique, a cubic spline trial space and a piecewise linear test space are considered in the ...
L. Jones Tarcius Doss, A. P. Nandini
doaj   +1 more source

Computation of Gauss-Kronrod quadrature rules [PDF]

Mathematics of Computation, 2000
Recently Laurie presented a new algorithm for the computation of ( 2 n + 1
Daniela Calvetti, Gene H. Golub, William B. Gragg, Lothar Reichel   +3 more
openaire   +1 more source

Extending Battery Usage Time of a Heavy‐Duty Mecanum‐Wheeled Autonomous Electric Vehicle Used in Iron–Steel Industry by Considering Wheel Slippage

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
It is a fact that slippage causes tracking errors in both longitudinal and lateral directions which results to have less travel distance in tracking a reference trajectory. Less travel distance means having energy loss of the battery and carrying loads less than planned.
Gokhan Bayar, Goktug Hambarci, Ali Sezai Demirel   +2 more
wiley   +1 more source

Generalizing Averaging Techniques for Approximating Fractional Differential Equations With Caputo Derivative

Journal of Applied Mathematics
This work investigates the concept of numerically approximating fractional differential equations (FDEs) by using function average in an interval. First, the equivalent integral equation is obtained.
Chinedu Nwaigwe, Abdon Atangana
doaj   +1 more source

Internality of Two-Measure-Based Generalized Gauss Quadrature Rules for Modified Chebyshev Measures II

Mathematics
Gaussian quadrature rules are commonly used to approximate integrals with respect to a non-negative measure dσ^. It is important to be able to estimate the quadrature error in the Gaussian rule used.
Dušan Lj. Djukić, Rada M. Mutavdžić Djukić, Aleksandar V. Pejčev, Lothar Reichel, Miodrag M. Spalević, Stefan M. Spalević   +5 more
doaj   +1 more source

An Active Knee–Ankle–Foot Orthosis With Torque‐Dense, Low‐Impedance Knee Actuation

Advanced Intelligent Systems, EarlyView.
This article presents the simulation, design, and clinical validation of a robotic active KAFO with torque‐sensitive actuation. By passively and continuously adapting the transmission ratio in response to the knee torque, the torque‐sensitive actuator overcomes the tradeoff between torque, weight, and impedance observed in conventional robot actuators,
Brendon Ortolano, Kai Pruyn, Rosemarie Murray, Lukas Gabert, Tommaso Lenzi   +4 more
wiley   +1 more source

Enhanced Numerical Techniques for Selective Integration Using Error Correction Methods

Ibn Al-Haitham Journal for Pure and Applied Sciences
Classical numerical integration methods, such as Simpson’s rule and Gaussian quadrature, perform well for smooth functions but lose accuracy near discontinuities.
Israa Essa Abed, Wafaa M. R. Shakir
doaj   +1 more source