Linearly implicit methods for the nonlinear Klein-Gordon equation
| dc.authorid | Karasozen, Bulent/0000-0003-1037-5431 | |
| dc.contributor.author | Uzunca, Murat | |
| dc.contributor.author | Karasozen, Bulent | |
| dc.date.accessioned | 2025-03-23T19:40:56Z | |
| dc.date.available | 2025-03-23T19:40:56Z | |
| dc.date.issued | 2025 | |
| dc.department | Sinop Üniversitesi | |
| dc.description.abstract | We present energy-preserving linearly implicit integrators for the nonlinear Klein-Gordon equation, based on the polarization of the polynomial functions. They are symmetric, second- order accurate in time and space, and unconditionally stable. Instead of solving a nonlinear algebraic equation at every time step, the linearly implicit integrators only require solving a linear system, which reduces the computational cost. We propose three types of linearly implicit integrators for the nonlinear Klein-Gordon equation, that preserve the modified, polarized invariants, ensuring the stability of the solutions in long-time integration. Numerical results confirm the theoretical convergence orders and preservation of the Hamiltonians that guarantee the stability of the solutions in long-time simulation. | |
| dc.identifier.doi | 10.1016/j.matcom.2024.12.019 | |
| dc.identifier.endpage | 330 | |
| dc.identifier.issn | 0378-4754 | |
| dc.identifier.issn | 1872-7166 | |
| dc.identifier.scopus | 2-s2.0-85213271319 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 318 | |
| dc.identifier.uri | https://doi.org/10.1016/j.matcom.2024.12.019 | |
| dc.identifier.uri | https://hdl.handle.net/11486/6458 | |
| dc.identifier.volume | 231 | |
| dc.identifier.wos | WOS:001403276700001 | |
| dc.identifier.wosquality | Q1 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.relation.ispartof | Mathematics and Computers in Simulation | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_WOS_20250323 | |
| dc.subject | Hamiltonian systems | |
| dc.subject | Linearly implicit integrator | |
| dc.subject | Energy preservation | |
| dc.subject | Stability | |
| dc.title | Linearly implicit methods for the nonlinear Klein-Gordon equation | |
| dc.type | Article |
