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A two-parameter multiple shooting method and its application to the natural vibrations of non-prismatic multi-segment beams
This paper presents an enhanced version of the standard shooting method that enables problems with two unknown parameters to be solved. A novel...
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Multiple shooting approach for finding approximately shortest paths for autonomous robots in unknown environments in 2D
An autonomous robot with a limited vision range finds a path to the goal in an unknown environment in 2D avoiding polygonal obstacles. In the process...
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Well-posedness of the shooting algorithm for control-affine problems with a scalar state constraint
We deal with a control-affine problem with scalar control subject to bounds, a scalar state constraint and endpoint constraints of equality type. For...
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Combining the Shooting Method with an Operational Matrix Method to Solve Two Point Boundary Value Problems
An operational matrix method is a well known method to solve an initial value problem (IVP). A recent contribution to the operational matrix method...
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Determining the Centroid of a Laser Spot in the Plane of a Multimedia Shooting Gallery Sensor Based on the Methods of Interpolation and Filtering of the Image Fragment
The authors consider the problem of determining the position of the centroid of a laser spot in the plane of the photosensor in a multimedia shooting...
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Using Shooting Approaches to Generate Initial Guesses for ODE Parameter Estimation
We consider the parameter estimation problem for parameterized systems of ordinary differential equations (ODEs). This problem involves finding the...
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Hybrid search method for Zermelo’s navigation problem
In this paper, we present a novel algorithm called the Hybrid Search algorithm to tackle the Zermelo’s navigation problem. This method can be...
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A Swee** Gradient Method for Ordinary Differential Equations with Events
In this paper, we use the calculus of variations to derive a sensitivity analysis for ordinary differential equations with events. This swee**...
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An Image Matching Method Using Heat Kernels on Graphs
AbstractThe paper presents an image matching method based on heat kernels. The method permits one to single out the most stable features of images...
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Numerical solution of coupled Lane–Emden–Fowler type equation by embedded quasilinearization method with homotopy analysis method
This paper aims to study the solution of coupled Emden-Folwer type equations by embedding the quasilinearization algorithm enclosed by the homotopy...
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Projection Method for Infinite-Horizon Economic Growth Problems
A projection method is proposed for infinite-horizon economic growth problems. Exponentially discounted orthogonal Laguerre polynomials are used as...
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Aerodynamic/stealth design of S-duct inlet based on discrete adjoint method
It is a major challenge for the airframe-inlet design of modern combat aircrafts, as the flow and electromagnetic wave propagation in the inlet of...
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On Solutions of the One-Dimensional Goldshtik Problem
AbstractA one-dimensional analog of the Goldshtik mathematical model for separated flows in an incompressible fluid is considered. The model is a...
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Variational Approach for Finding the Cost-Optimal Trajectory
AbstractDifferent approaches are used to define the optimal path in terms of construction costs. Such problems in practice are usually solved by...
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On Approximate Solution of Optimal Control Problems by Parabolic Equations
This paper introduces the control of systems governed by unknown equations and studies some systems of these equations. The exact controllability of...
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An Artificial Neural Network Solution for the Casson Fluid Flow Past a Radially Stretching Sheet with Magnetic and Radiation Effect
AbstractThe Casson fluid flow past a radially stretching sheet in the presence of an applied magnetic field and thermal radiation is investigated....
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Numerical Study on Hydromagnetic Oscillating Flow of Couple Stress Nanofluid in a Porous Channel with Cattaneo Christov Heat Flux
The present work discloses the oscillating hydromagnetic blood-based couple stress nanofluid flow in between porous walls by the means of Buongiorno...
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Existence and non-existence results for cooperative elliptic systems without variational structure
We consider general cooperative elliptic systems possibly without variational structure and with differential operator resembling that from an...