Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Quadratic Equations in the Complex Number System01:29

Quadratic Equations in the Complex Number System

791
A quadratic equation in the form ax2+bx+c=0 can have solutions that vary in nature depending on the value of the discriminant, b2−4ac. In this expression, a is the coefficient of the quadratic term x2, b is the coefficient of the linear term x, and c is the constant term. When the discriminant is negative, the equation has no real number solutions. However, by introducing complex numbers through the imaginary unit i, defined by i=-1, these equations can still be solved.The square root of...
791
Trapezoidal Rule01:26

Trapezoidal Rule

210
Estimating the distance traveled by a vehicle using its recorded velocity over time is a common problem in physics and engineering. When velocity data is available at discrete time intervals, rather than as a continuous function, numerical integration methods such as the trapezoidal rule are often employed to approximate the total displacement.The trapezoidal rule works by dividing the total time interval into several equal segments. Within each segment, the recorded velocities at the endpoints...
210
Rationalizing Substitutions01:29

Rationalizing Substitutions

147
Integrals involving non-rational functions are often difficult to evaluate using standard techniques, especially when radicals appear in the integrand. Rationalizing substitution provides a systematic method for simplifying such integrals by converting them into rational forms that are easier to handle.Consider a rod whose linear mass density depends on a constant linear density, a characteristic length, and the distance from the left end of the rod. Determining the total mass requires...
147
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

426
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
426
Fast Decoupled and DC Powerflow01:24

Fast Decoupled and DC Powerflow

888
The fast decoupled power flow method addresses contingencies in power system operations, such as generator outages or transmission line failures. This method provides quick power flow solutions, essential for real-time system adjustments. Fast decoupled power flow algorithms simplify the Jacobian matrix by neglecting certain elements, leading to two sets of decoupled equations:
888
Properties of DTFT II01:24

Properties of DTFT II

692
In the study of discrete-time signal processing, understanding the properties of the Discrete-Time Fourier Transform (DTFT) is crucial for analyzing and manipulating signals in the frequency domain. Several properties, including frequency differentiation, convolution, accumulation, and Parseval's relation, offer powerful tools for signal analysis.
The frequency differentiation property is illustrated by considering a DTFT pair and differentiating both sides with respect to ω.
692

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Impact of obesity on breast cancer recurrence by menopausal status and subtype: a retrospective cohort study.

Breast cancer research and treatment·2025
Same author

Oncoplastic breast reconstruction with single-port laparoscopically harvested omental flap: insights from a ten-year tertiary center experience.

Breast cancer research and treatment·2024
Same author

Dynamic and subtype-specific interactions between tumour burden and prognosis in breast cancer.

Scientific reports·2020
Same author

Associations between fruits, vegetables, vitamin A, β-carotene and flavonol dietary intake, and age-related macular degeneration in elderly women in Korea: the Fifth Korea National Health and Nutrition Examination Survey.

European journal of clinical nutrition·2017
Same author

Forebrain-specific ablation of phospholipase Cγ1 causes manic-like behavior.

Molecular psychiatry·2017
Same author

Whole-breast US following mammography and breast MRI in newly diagnosed breast cancer patients: can it be more than just a guidance tool for biopsy?

Clinical radiology·2016

Related Experiment Video

Updated: Apr 15, 2026

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

43.9K

Three-dimensional efficient dispersive alternating-direction-implicit finite-difference time-domain algorithm using a

E-K Kim, S-G Ha, J Lee

    Optics Express
    |April 4, 2015
    PubMed
    Summary
    This summary is machine-generated.

    A new efficient method enhances electromagnetic analysis of dispersive media. The quadratic complex rational function alternating-direction-implicit finite-difference time-domain (QCRF-ADI-FDTD) method allows larger time steps and reduces computation time significantly.

    More Related Videos

    Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression
    13:07

    Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression

    Published on: January 15, 2022

    4.7K
    Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture
    09:04

    Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

    Published on: February 23, 2018

    10.1K

    Related Experiment Videos

    Last Updated: Apr 15, 2026

    Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
    13:44

    Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

    Published on: August 30, 2013

    43.9K
    Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression
    13:07

    Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression

    Published on: January 15, 2022

    4.7K
    Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture
    09:04

    Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

    Published on: February 23, 2018

    10.1K

    Area of Science:

    • Electromagnetics
    • Computational Physics
    • Numerical Methods

    Background:

    • Dispersive media pose challenges for traditional electromagnetic analysis.
    • Finite-difference time-domain (FDTD) methods often face stability limitations with large time steps.

    Purpose of the Study:

    • To develop an efficient and unconditionally stable FDTD method for electromagnetic analysis of dispersive media.
    • To improve computational efficiency and stability beyond the Courant-Friedrich-Levy (CFL) limit.

    Main Methods:

    • Application of a quadratic complex rational function (QCRF) dispersion model to the alternating-direction-implicit FDTD (ADI-FDTD) method.
    • Derivation of 3-D update equations using Maxwell's curl equations and constitutive relations.
    • Detailed discussion of periodic boundary conditions for the QCRF-ADI-FDTD method.

    Main Results:

    • The proposed QCRF-ADI-FDTD method achieves unconditional stability, allowing time-step sizes exceeding the CFL number.
    • A 3-D numerical example demonstrated a significant reduction in computational time (28.08% of QCRF-FDTD) for refined computational cells.
    • The L2 relative error norm for field distribution was found to be 6.92%.

    Conclusions:

    • The QCRF-ADI-FDTD method offers a robust and efficient solution for electromagnetic analysis in dispersive media.
    • This method provides a substantial speed-up in computation without compromising accuracy.
    • The findings enable more efficient and stable numerical simulations in electromagnetics.