We show that when time-reversible symplectic algorithms are used to solve periodic motions, the energy error after one period is generally two orders higher than that of the algorithm. By use of correctable algorithms, we show that the phase error can also be eliminated two orders higher than that of the integrator. The use of fourth order forward time step integrators can result in sixth order accuracy for the phase error and eighth order accuracy in the periodic energy. We study the one-dimensional harmonic oscillator and the two-dimensional Kepler problem in great detail, and compare the effectiveness of some recent fourth order algorithms.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevE.71.056703 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Adaptive hybrid ANFIS-PSO and ANFIS-GA approach for occupational risk prediction.
Int J Occup Saf Ergon
January 2025
Computer Science Department; Badji Mokhtar University, Algeria.
This study attempted to optimize the adaptive neuro-fuzzy inference system (ANFIS) using particle swarm optimization (PSO) and a genetic algorithm (GA) for calculating occupational risk. Numerous studies have shown that the ANFIS is a good approach for predicting engineering problems. However, it is not well investigated in the area of risk assessment.
View Article and Find Full Text PDFEzSkiROS: enhancing robot skill composition with embedded DSL for early error detection.
Front Robot AI
January 2025
Department of Computer Science, Faculty of Engineering (LTH), Lund University, Lund, Sweden.
When developing general-purpose robot software components, we often lack complete knowledge of the specific contexts in which they will be executed. This limits our ability to make predictions, including our ability to detect program bugs statically. Since running a robot is an expensive task, finding errors at runtime can prolong the debugging loop or even cause safety hazards.
View Article and Find Full Text PDFInvestigation of a Novel Noninvasive Risk Analytics Algorithm With Laboratory Central Venous Oxygen Saturation Measurements in Critically Ill Pediatric Patients.
Crit Care Explor
January 2025
Division of Cardiovascular Critical Care Medicine, Department of Cardiology, Boston Children's Hospital, Boston, MA.
Background: Accurate assessment of oxygen delivery relative to oxygen demand is crucial in the care of a critically ill patient. The central venous oxygen saturation (Svo) enables an estimate of cardiac output yet obtaining these clinical data requires invasive procedures and repeated blood sampling. Interpretation remains subjective and vulnerable to error.
View Article and Find Full Text PDFThe replicative polymerase delta is inefficient copying repetitive DNA sequences. Error-prone translesion polymerases have been shown to switch with high-fidelity replicative polymerases to help navigate repetitive DNA. We and others have demonstrated the importance of one such translesion polymerase, polymerase Eta (pol eta), in facilitating replication at genomic regions called common fragile sites (CFS), which are difficult-to-replicate genomic regions that are hypersensitive to replication stress.
View Article and Find Full Text PDFCharacterize Firmness Changes of Nectarine and Peach Fruit Associated With Harvest Maturity and Storage Duration Using Parameters of Force-Displacement Curves.
J Texture Stud
February 2025
College of Biosystems Engineering and Food Science, Zhejiang University, Hangzhou, China.
Fruit firmness is a critical attribute for evaluating the quality of peaches and nectarines. The precise measurement of fruit firmness plays a key role in maturity assessment, determining harvest periods, and predicting shelf-life. Texture analyzers are increasingly employed for accurate fruit firmness measurement, offering advantages in reducing operator errors compared to the traditional Magness-Taylor test.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!