Search
Search Results
-
Enhancing PINNs for solving PDEs via adaptive collocation point movement and adaptive loss weighting
Physics-informed neural networks (PINNs) are an emerging method for solving partial differential equations (PDEs) and have been widely applied in the...
-
Collocation methods for second and higher order systems
It is often unnoticed that the predominant way to use collocation methods is fundamentally flawed when applied to optimal control in robotics. Such...
-
13 Haptic Interfaces: Collocation and Coherence Issues
Multi-modality, collocation and immersive VE nowadays represents the break-trough barrier of human computer interaction. Typical VE systems...
-
Localized collocation schemes and their applications
This paper presents a summary of various localized collocation schemes and their engineering applications. The basic concepts of localized...
-
A novel collocation beam element based on absolute nodal coordinate formulation
The computational efficiency has been largely hindering the application of the absolute nodal coordinate formulation (ANCF). To improve the...
-
A Lagrange spectral collocation method for weakly singular fuzzy fractional Volterra integro-differential equations
A linear fractional-order weakly singular fuzzy Volterra integro-differential equation has been examined. In this case, the Caputo fractional-order...
-
Modeling evaporation with a meshfree collocation approach
In this paper, a new model for the below-boiling point evaporation process with a meshfree collocation method is developed. In order to capture the...
-
Solution to boundary value problems on linear elastic confocal elliptic domain based on collocation technique
Domains with elliptic boundaries are regularly pursued in Elasticity to elucidate the role of circular asymmetry and are associated with many...
-
Maximizing ollie height by optimizing control strategy and skateboard geometry using direct collocation
The ollie is the base aerial human–board maneuver, foundational to most modern skateboarding tricks. We formulate and solve an optimal control...
-
Nonlinear Model Predictive Path Tracking Control for Autonomous Vehicles Based on Orthogonal Collocation Method
Autonomous vehicles have gained popularity over the past few years. In this paper, we present a nonlinear model predictive control approach for...
-
Multi-resolution Trajectory Optimization of eVTOL Aircraft Using Capacity Collocation
Electric vertical takeoff and landing (eVTOL) aircraft has advantages of cleaner, quieter, and more comfortable flight over its conventional...
-
Space–time collocation meshfree method for modeling 3D wave propagation problems
In this work, a novel local space–time domain collocation technique—space–time boundary moving least squares (BMLS–ST) method, which has been...
-
On Mixed Steps-Collocation Schemes for Nonlinear Fractional Delay Differential Equations
This research deals with the numerical solution of fractional differential equations with delay using the method of steps and shifted Legendre...
-
A spectral collocation scheme for the flow of a piezo-viscous fluid in ducts with slip conditions
In this paper we present a numerical scheme based on spectral collocation methods to investigate the flow of a piezo-viscous fluid, i.e., a fluid in...
-
A Homotopic Direct Collocation Approach for Operational-Compliant Trajectory Design
Stand-alone deep-space CubeSats are the future of the space sector. For limited budget reasons, these spacecraft need to follow operational-compliant...
-
Consistency, precision, and accuracy assessment of the collocation boundary element method for two-dimensional problems of potential and elasticity
The collocation boundary element method, as developed and taught in the traditional books, suffers from severe inconsistencies, partly responsible...
-
Numerical Solution of Nonlinear Reaction-Advection-Diffusion Equation in Sense of Caputo-Fabrizio Derivative with Finite Difference and Collocation Method
In this paper, we consider a nonlinear reaction-diffusion equation with a Caputo-Fabrizio derivative and its solution is obtained by the finite...
-
An adaptive wavelet-based collocation method for solving multiscale problems in continuum mechanics
Computational multiscale methods are highly sophisticated numerical approaches to predict the constitutive response of heterogeneous materials from...
-
Collocation Methods and Beyond in Non-linear Mechanics
Within the realm of isogeometric analysis, isogeometric collocation has been driven by the attempt to minimize the cost of quadrature associated with...
-
A novel plate element based on absolute nodal coordinate formulation with collocation strategy
In this paper, a novel multi-node plate element with absolute node coordinate formulation (ANCF) is proposed. The nodes of the element are collocated...
