GitHub

DeepONet: Learning nonlinear operators

The source code for the paper L. Lu, P. Jin, G. Pang, Z. Zhang, & G. E. Karniadakis. Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators. Nature Machine ...
EurekAlert!

New numerical model could improve real-world management of liquid metal batteries

Researchers have developed a comprehensive numerical model for liquid metal batteries that captures potential, mass transfer, and species distribution while remaining fast enough to support practical ...

Tiny black holes may form out of a crystal-like state in spacetime

Microscopic black holes have long hovered at the edge of theory, forming only in exquisitely balanced states. Now physicists ...
IEEE

Unified Framework for Evaluating Numerical Integration Methods Through Characteristic Root Distortion in Linear Ordinary Differential Equations

Abstract: Analytically solving complex or large-scale differential equations is often difficult or even impossible, making numerical integration methods indispensable. However, as all numerical ...
IEEE

GPU-based Real-Time Approximation of the Ablation Zone for Radiofrequency Ablation

Abstract: Percutaneous radiofrequency ablation (RFA) is becoming a standard minimally invasive clinical procedure for the treatment of liver tumors. However, planning the applicator placement such ...
C&EN

Numerical Approximation of a Nonequilibrium Model of Gradient Elution Chromatography Considering Different Functional Relationships between Model Parameters and Solvent Composition

Department of Mathematics, COMSATS University, Park Road, Chak Shahzad, Islamabad 45550, Pakistan Department of Mathematics, Air University, PAF Complex, Sector E-9, Islamabad 44230, Pakistan ...