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variable time-step, stiff differential equation solver ode15s  (MathWorks Inc)


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    MathWorks Inc variable time-step, stiff differential equation solver ode15s
    Variable Time Step, Stiff Differential Equation Solver Ode15s, supplied by MathWorks Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
    https://www.bioz.com/product/variable+time-step+solver+ode15s/pmc05802468-75-24-13
    Average 90 stars, based on 1 article reviews
    variable time-step, stiff differential equation solver ode15s - by Bioz Stars, 2026-10
    90/100 stars

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    Activity Assay:

    Article Title: Systematic analysis and optimization of early warning signals for critical transitions using distribution data
    Article Snippet: Simulations are performed in Matlab (R2021b) using the Milstein method with a time step of 0.01 (arbitrary units).

    Article Title: Enhancement of Hippocampal-Thalamocortical Temporal Coordination during Slow-Frequency Long-Duration Anterior Thalamic Spindles
    Article Snippet: The nonlinear equations of the model were solved using the fourth-order Runge–Kutta method with a time step of 1ms by MATLAB R2017b software.

    Article Title: A new microfluidic device for separating circulating tumor cells based on their physical properties by using electrophoresis and dielectrophoresis forces within an electrical field.
    Article Snippet: Background and Objective: The presence of circulating tumor cells in the patient’s blood is a clinical factor that indicates the initiation of metastasis.. Methods: In this paper, a microfluidic device is designed to separate, enumerate, and to diagnose cancer cells from the patient’s blood sample.. Here, we present a new microfluidic device that is capable of separating circulating tumor cells based on their physical properties by using electrophoresis and dielectrophoresis forces within an electrical field.

    Article Title: Spatiotemporal dynamics of sleep spindles form spiral waves that predict overnight memory consolidation and age-related memory decline.
    Article Snippet: To detect sources and sinks, we first measure the divergence at each grid location across the phase velocity field at each time step (‘divergence’ function in MATLAB).

    Article Title: Input-specific bi-directional regulation of CA3 pyramidal cell excitability: implication in sequential memory formation
    Article Snippet: The voltage derivative (dv/dt) of each neuron was calculated with a time step of 0.4 ms, and was numerically integrated by Euler methods using Matlab software (R2021a, Mathworks, USA).

    Article Title: Experimental Verification of the Impact of Radial Internal Clearance on a Bearing's Dynamics.
    Article Snippet: The model was derived in Matlab software and was solved using the Runge–Kutta method corresponding to the ODE45 solver with a tolerance of 0.01 and the same value of the time step.

    Article Title: Determination of Propeller-Rudder-Hull Interaction Coefficients in Ship Manoeuvring Prediction
    Article Snippet: The simulations were run using @MATLAB Simulink software with the ODE 4 solver and a constant 0.01 s time step (i.e. small enough that the solver impact was marginal from a practical perspective).

    Article Title: Flexible control of representational dynamics in a disinhibition-based model of decision-making
    Article Snippet: To quantify neural dynamics and behavioral performance (choice/RT), time-varying activity was represented by a system of differential equations ( which was solved numerically using the Runge-Kutta method implemented in MATLAB (MathWorks) at a time step of 1 ms. Evaluations using smaller time steps (0.1 ms) were examined and produced similar results.

    Produced:

    Article Title: Systematic analysis and optimization of early warning signals for critical transitions using distribution data
    Article Snippet: Simulations are performed in Matlab (R2021b) using the Milstein method with a time step of 0.01 (arbitrary units).

    Article Title: Enhancement of Hippocampal-Thalamocortical Temporal Coordination during Slow-Frequency Long-Duration Anterior Thalamic Spindles
    Article Snippet: The nonlinear equations of the model were solved using the fourth-order Runge–Kutta method with a time step of 1ms by MATLAB R2017b software.

    Article Title: A new microfluidic device for separating circulating tumor cells based on their physical properties by using electrophoresis and dielectrophoresis forces within an electrical field.
    Article Snippet: Background and Objective: The presence of circulating tumor cells in the patient’s blood is a clinical factor that indicates the initiation of metastasis.. Methods: In this paper, a microfluidic device is designed to separate, enumerate, and to diagnose cancer cells from the patient’s blood sample.. Here, we present a new microfluidic device that is capable of separating circulating tumor cells based on their physical properties by using electrophoresis and dielectrophoresis forces within an electrical field.

    Article Title: Spatiotemporal dynamics of sleep spindles form spiral waves that predict overnight memory consolidation and age-related memory decline.
    Article Snippet: To detect sources and sinks, we first measure the divergence at each grid location across the phase velocity field at each time step (‘divergence’ function in MATLAB).

    Article Title: Input-specific bi-directional regulation of CA3 pyramidal cell excitability: implication in sequential memory formation
    Article Snippet: The voltage derivative (dv/dt) of each neuron was calculated with a time step of 0.4 ms, and was numerically integrated by Euler methods using Matlab software (R2021a, Mathworks, USA).

    Article Title: Experimental Verification of the Impact of Radial Internal Clearance on a Bearing's Dynamics.
    Article Snippet: The model was derived in Matlab software and was solved using the Runge–Kutta method corresponding to the ODE45 solver with a tolerance of 0.01 and the same value of the time step.

    Article Title: Determination of Propeller-Rudder-Hull Interaction Coefficients in Ship Manoeuvring Prediction
    Article Snippet: The simulations were run using @MATLAB Simulink software with the ODE 4 solver and a constant 0.01 s time step (i.e. small enough that the solver impact was marginal from a practical perspective).

    Article Title: Flexible control of representational dynamics in a disinhibition-based model of decision-making
    Article Snippet: To quantify neural dynamics and behavioral performance (choice/RT), time-varying activity was represented by a system of differential equations ( which was solved numerically using the Runge-Kutta method implemented in MATLAB (MathWorks) at a time step of 1 ms. Evaluations using smaller time steps (0.1 ms) were examined and produced similar results.



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