To explore the application of the Schrödingerisation
Research gap analysis derived from 3 physics papers in our local library.
The gap
To explore the application of the Schrödingerisation method to other types of PDEs. To develop new methods for simulating elastic wave equations with high accuracy. To apply the method to various fields, including geodynamics and volcanism.
Evidence profile
Sourced from the future-work section of the source papers, classified as general, drawn from work published between 2024 and 2026, spanning 3 journals. Those papers have been cited 47 times in total.
Research trend
Established — well-defined area with open sub-problems.
Supporting evidence — 3 representative gaps
- Quantum Simulation of Partial Differential Equations via Schrödingerization (2024) · Physical Review Letters · cited 47× · doi
Exploring the applications of the Schrödingerization approach in various fields, such as quantum chemistry and optimization. Developing new methods for simulating nonlinear partial differential equations via quantum simulation. Investigating the potential of the Schrödingerization approach for solving complex problems in physics and engineering.
generalfuture-work sectionKeywords: exploring applications schr dingerization approach various fields quantum - Linear Profile Decomposition for the NonlinearSchrödinger Equation in Exterior Domains (2026) · International Journal of Mathematical Sciences and Computing · doi
The authors suggest future research directions, including the application of their results to other domains. The paper notes that several directions remain for future work, including the analysis of nonlinear Schrödinger equations in other contexts.
generalfuture-work sectionevidence 5/5Keywords: authors suggest future research directions including application results - Quantum Simulation of Elastic Wave Equations via Schrödingerisation (2026) · Communications in Computational Physics · doi
To explore the application of the Schrödingerisation method to other types of PDEs. To develop new methods for simulating elastic wave equations with high accuracy. To apply the method to various fields, including geodynamics and volcanism.
generalfuture-work sectionevidence 5/5Keywords: explore application schr dingerisation method other types pdes
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