Singular perturbed renormalization group theory and its application to highly oscillatory problems
From MaRDI portal
Publication:1671118
DOI10.3934/dcdsb.2018089zbMath1444.34068OpenAlexW2791633433WikidataQ128234148 ScholiaQ128234148MaRDI QIDQ1671118
Publication date: 6 September 2018
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2018089
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29) Renormalization group methods in equilibrium statistical mechanics (82B28) Singular perturbations for ordinary differential equations (34E15)
Related Items
Singularly Perturbed Renormalization Group Method and Its Significance in Dynamical Systems Theory, Renormalization group method for solving initial value problem of slow‐fast system, High‐order long‐time approximation of (N + 1)‐level systems with near‐resonance control, Renormalization group approach to boundary layer problems, High-order approximation to two-level systems with quasiresonant control, Renormalization group and fractional calculus methods in a complex world: a review, Renormalization group approach to SDEs with nonlinear diffusion terms, Singular renormalization group approach to SIS problems
Cites Work
- Unnamed Item
- On the renormalization group approach to perturbation theory for PDEs
- Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime
- Renormalization group method applied to the primitive equations
- Renormalization group approach to multiscale modelling in materials science
- Renormalization group method. Application to Navier-Stokes equation
- Renormalization-group method for reduction of evolution equations; invariant manifolds and envelopes.
- On a certain renormalization group method
- The Renormalization Group: A Perturbation Method for the Graduate Curriculum
- Introduction to Perturbation Methods
- Examples Illustrating the Use of Renormalization Techniques for Singularly Perturbed Differential Equations
- Extension and Unification of Singular Perturbation Methods for ODEs Based on the Renormalization Group Method
- A Combined Renormalization Group-Multiple Scale Method for Singularly Perturbed Problems
- $C^1$ Approximation of Vector Fields Based on the Renormalization Group Method
- Renormalization Group Theory for Global Asymptotic Analysis
- Uniformly Accurate Multiscale Time Integrators for Highly Oscillatory Second Order Differential Equations
- Averaging methods in nonlinear dynamical systems
- Mathematical concepts of quantum mechanics.
- Renormalization group method. Applications to partial differential equations
