Jeng‐Tzong Chen
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View article: CoDA: Agentic Systems for Collaborative Data Visualization
CoDA: Agentic Systems for Collaborative Data Visualization Open
Deep research has revolutionized data analysis, yet data scientists still devote substantial time to manually crafting visualizations, highlighting the need for robust automation from natural language queries. However, current systems stru…
View article: Tumoral calcinosis: Two case reports and literature review
Tumoral calcinosis: Two case reports and literature review Open
Rationale: Tumoral calcinosis is a rare, benign disorder of extraosseous calcification. Due to its rarity, it is frequently misdiagnosed as a tumor-related disease in clinical practice. Patient concerns: Both of the patients we have mentio…
View article: Estimating Cosmological Parameters and Reconstructing Hubble Constant with Artificial Neural Networks: A Test with covariance matrix and mock H(z)
Estimating Cosmological Parameters and Reconstructing Hubble Constant with Artificial Neural Networks: A Test with covariance matrix and mock H(z) Open
In this work, we reconstruct the H(z) based on observational Hubble data with Artificial Neural Network, then estimate the cosmological parameters and the Hubble constant. The training data we used are covariance matrix and mock H(z), whic…
View article: Astute RAG: Overcoming Imperfect Retrieval Augmentation and Knowledge Conflicts for Large Language Models
Astute RAG: Overcoming Imperfect Retrieval Augmentation and Knowledge Conflicts for Large Language Models Open
Retrieval augmented generation (RAG), while effectively integrating external knowledge to address the inherent limitations of large language models (LLMs), can be hindered by imperfect retrieval that contain irrelevant, misleading, or even…
View article: Application of boundary integral quadrature method to torsion problems of an isotropic bar containing edge cracks
Application of boundary integral quadrature method to torsion problems of an isotropic bar containing edge cracks Open
Regarding the Saint-Venant torsion problem of elastic cylindrical bar containing edge cracks, the boundary integral quadrature method (BIQM) in conjunction with the dual formula is employed to solve the stress function. In comparison with …
View article: On the solution arising in two-cylinders electrostatics
On the solution arising in two-cylinders electrostatics Open
The electrostatics of two cylinders charged to the symmetrical or anti-symmetrical potential is investigated by using the null-field boundary integral equation (BIE) in conjunction with the degenerate kernel of the bipolar coordinates. Th…
View article: On the solution arising in two-cylinders electrostatics
On the solution arising in two-cylinders electrostatics Open
The electrostatics of two cylinders charged to the symmetrical or anti-symmetrical potential is studied by using the null-field boundary integral equation (BIE) in conjunction with the degenerate kernel in terms of bipolar coordinates. The…
View article: Interaction between a screw dislocation and an elastic elliptical inhomogeneity by using the angular basis function
Interaction between a screw dislocation and an elastic elliptical inhomogeneity by using the angular basis function Open
The behavior of displacement field due to a screw dislocation is similar to the angular basis function (ABF) Arg(z). It is different from the radial basis function (RBF) ln(r) that is used to describe the velocity potential of a sink or so…
View article: Support motion of a finite bar with an external spring
Support motion of a finite bar with an external spring Open
In this paper, we gave the vibration analysis of a finite bar with an external spring on one side and the support motion on the other side. Two analytical methods, the mode superposition method in conjunction with the quasi-static decompos…
View article: Support motion of a finite bar with a viscously damped boundary
Support motion of a finite bar with a viscously damped boundary Open
In this paper, we extended the previous experience to solve the vibration problem of a finite bar with a viscously damped boundary and the support motion on the other side. Two analytical methods, the mode superposition method in conjuncti…
View article: An indirect BIE free of degenerate scales
An indirect BIE free of degenerate scales Open
Thanks to the fundamental solution, both BIEs and BEM are effective approaches for solving boundary value problems. But it may result in rank deficiency of the influence matrix in some situations such as fictitious frequency, spurious eige…
View article: On the linkage between influence matrices in the BIEM and BEM to explain the mechanism of degenerate scale for a circular domain
On the linkage between influence matrices in the BIEM and BEM to explain the mechanism of degenerate scale for a circular domain Open
In this paper, we proposed two ways to understand the rank deficiency in the continuous system (boundary integral equation method, BIEM) and discrete system (boundary element method, BEM) for a circular case. The infinite-dimensional degre…
View article: Construction of a curve by using the state equation of Frenet formula
Construction of a curve by using the state equation of Frenet formula Open
In this paper, the available formulae for the curvature of plane curve are reviewed not only for the time-like but also for the space-like parameter curve. Two ways to describe the curve are proposed. One is the straight way to obtain the …
View article: A necessary and sufficient BEM/BIEM for two-dimensional elasticity problems
A necessary and sufficient BEM/BIEM for two-dimensional elasticity problems Open
In the development of finite element method (FEM), the patch test is required.We may wonder whether we need any special test for the boundary element method (BEM).A sufficient and necessary boundary integral equation method (BIEM) to ensur…
View article: Revisit of the Dual Bem using SVD Updating Technique
Revisit of the Dual Bem using SVD Updating Technique Open
The boundary element method (BEM) is easier than the finite element method (FEM) on the viewpoint of the discretization of one dimension reduction rather than the domain discretization of finite element method. The disadvantage of BEM is t…