Local Structure-Preserving Algorithms for the Klein-Gordon-Zakharov Equation
In this paper, using the concatenating method, a series of local structure-preserving algorithms are obtained for the Klein-Gordon-Zakharov equation, including four multi-symplectic algorithms, four local energy-preserving algorithms, four local momentum-preserving algorithms; of these, local energy...
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| Published in | Acta mathematica scientia Vol. 43; no. 3; pp. 1211 - 1238 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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Singapore
Springer Nature Singapore
01.05.2023
School of Mathematics and Statistics,Nanjing University of Information Science & Technology,Nanjing 210044,China%Jiangsu Key Laboratory of NSLSCS,School of Mathematical Sciences,Nanjing Normal University,Nanjing 210023,China |
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| Abstract | In this paper, using the concatenating method, a series of local structure-preserving algorithms are obtained for the Klein-Gordon-Zakharov equation, including four multi-symplectic algorithms, four local energy-preserving algorithms, four local momentum-preserving algorithms; of these, local energy-preserving and momentum-preserving algorithms have not been studied before. The local structure-preserving algorithms mentioned above are more widely used than the global structure-preserving algorithms, since local preservation algorithms can be preserved in any time and space domains, which overcomes the defect that global preservation algorithms are limited to boundary conditions. In particular, under appropriate boundary conditions, local preservation laws are global preservation laws. Numerical experiments conducted can support the theoretical analysis well. |
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| AbstractList | In this paper,using the concatenating method,a series of local structure-preserv-ing algorithms are obtained for the Klein-Gordon-Zakharov equation,including four multi-symplectic algorithms,four local energy-preserving algorithms,four local momentum-preserving algorithms;of these,local energy-preserving and momentum-preserving algorithms have not been studied before.The local structure-preserving algorithms mentioned above are more widely used than the global structure-preserving algorithms,since local preservation algorithms can be preserved in any time and space domains,which overcomes the defect that global preservation algorithms are limited to boundary conditions.Inparticular,un-der appropriate boundary conditions,local preservation laws are global preservation laws.Numerical experiments conducted can support the theoretical analysis well. In this paper, using the concatenating method, a series of local structure-preserving algorithms are obtained for the Klein-Gordon-Zakharov equation, including four multi-symplectic algorithms, four local energy-preserving algorithms, four local momentum-preserving algorithms; of these, local energy-preserving and momentum-preserving algorithms have not been studied before. The local structure-preserving algorithms mentioned above are more widely used than the global structure-preserving algorithms, since local preservation algorithms can be preserved in any time and space domains, which overcomes the defect that global preservation algorithms are limited to boundary conditions. In particular, under appropriate boundary conditions, local preservation laws are global preservation laws. Numerical experiments conducted can support the theoretical analysis well. |
| Author | Wang, Jialing Zhou, Zhengting Wang, Yushun |
| AuthorAffiliation | School of Mathematics and Statistics,Nanjing University of Information Science & Technology,Nanjing 210044,China%Jiangsu Key Laboratory of NSLSCS,School of Mathematical Sciences,Nanjing Normal University,Nanjing 210023,China |
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| Keywords | Klein-Gordon-Zakharov (KGZ) equation local preservation law local energy-preserving algorithms multi-symplectic algorithms 65M06 65L12 local momentum-preserving algorithms 65M12 Klein-Gordon-Zakharov(KGZ)equation |
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| References | Islas, Schober (CR21) 2004; 69 Cohen, Owren, Raynaud (CR18) 2012; 227 Moore, Reich (CR22) 2003; 95 Wang, Wang, Qin (CR31) 2004; 47 Jiang (CR33) 2002; 32 Wang (CR34) 2009; 42 Kumar, Pankaj, Sachdeva (CR5) 2013; 3 Liu, Liao, Zhao, Wang (CR10) 1994; 18 Cai, Wang, Wang (CR27) 2015; 24 Xue, Zhang (CR4) 2019; 348 Reich (CR30) 2000; 157 Wang, Wang (CR25) 2017; 239 Hong, Wang, Wang (CR26) 2018; 27 Colin, Colin (CR1) 2004; 17 Cai, Liang (CR29) 2012; 29 Shi, Wang (CR3) 2019; 42 Feng, Qin (CR9) 1987 Marsden, Patrick, Shkoller (CR15) 1998; 199 Hong, Liu, Li (CR19) 2007; 226 Gao, Mei, Li (CR8) 2017; 74 Dong, Bao (CR6) 2013; 35 Hong, Liu, Sun (CR16) 2005; 75 Liu, Zhang (CR17) 2006; 26 Liu, Liao, Zhao, Wang (CR13) 1994; 18 Shang (CR14) 1999; 83 Romeo, Jorge, Macias (CR28) 2020; 158 Herbst, Varadi, Ablowitz (CR12) 1994; 37 Liu, Su, Ding (CR11) 2002; 87 Wang, Zhang, Jiang (CR7) 2013; 221 Wang, Wang, Qin (CR23) 2008; 51 Masmoudi, Nakanishi (CR2) 2008; 172 Wang, Wang (CR32) 2009; 2 Cai, Wang (CR24) 2013; 239 Chen, Qin, Tang (CR20) 2002; 43 J L Wang (313_CR25) 2017; 239 C J Jiang (313_CR33) 2002; 32 J E Marsden (313_CR15) 1998; 199 J Q Xue (313_CR4) 2019; 348 L Liu (313_CR13) 1994; 18 A L Islas (313_CR21) 2004; 69 Y S Wang (313_CR23) 2008; 51 M Romeo (313_CR28) 2020; 158 J Wang (313_CR34) 2009; 42 J X Cai (313_CR27) 2015; 24 L Liu (313_CR10) 1994; 18 Y S Wang (313_CR31) 2004; 47 N Masmoudi (313_CR2) 2008; 172 Q Hong (313_CR26) 2018; 27 Y S Wang (313_CR32) 2009; 2 B Moore (313_CR22) 2003; 95 X C Dong (313_CR6) 2013; 35 M Herbst (313_CR12) 1994; 37 J L Hong (313_CR19) 2007; 226 Q H Shi (313_CR3) 2019; 42 D Cohen (313_CR18) 2012; 227 J L Hong (313_CR16) 2005; 75 T C Wang (313_CR7) 2013; 221 M Colin (313_CR1) 2004; 17 K Feng (313_CR9) 1987 X S Liu (313_CR11) 2002; 87 J Cai (313_CR24) 2013; 239 J X Cai (313_CR29) 2012; 29 S Reich (313_CR30) 2000; 157 A Kumar (313_CR5) 2013; 3 Z J Shang (313_CR14) 1999; 83 H Y Liu (313_CR17) 2006; 26 J B Chen (313_CR20) 2002; 43 Y L Gao (313_CR8) 2017; 74 |
| References_xml | – volume: 42 start-page: 085205 issue: 8 year: 2009 ident: CR34 article-title: Solitary wave propagation and interactions for the Klein-Gordon-Zakharov equations in plasma physics publication-title: Journal of Physics A Mathematical and Theoretical doi: 10.1088/1751-8113/42/8/085205 – volume: 239 start-page: 289 issue: 3 year: 2017 end-page: 318 ident: CR25 article-title: Local structure-preserving algorithms for the KdV equation publication-title: Journal of Computational Mathematics doi: 10.4208/jcm.1605-m2015-0343 – volume: 158 start-page: 292 year: 2020 end-page: 313 ident: CR28 article-title: An energy-preserving and efficient scheme for a double-fractional conservative Klein-Gordon-Zakharov system publication-title: Applied Numerical Mathematics doi: 10.1016/j.apnum.2020.08.006 – volume: 35 start-page: A2903 issue: 6 year: 2013 end-page: A2927 ident: CR6 article-title: An exponential integrator sine pseudospectral method for the Klein-Gordon-Zakharov system publication-title: SIAM Journal on Scientific Computing doi: 10.1137/110855004 – volume: 29 start-page: 1028 issue: 8 year: 2012 end-page: 1032 ident: CR29 article-title: Explicit multisymplectic Fourier pseudospectral scheme for the Klein-Gordon-Zakharov equations publication-title: Chinese Physical Letter – volume: 26 start-page: 252 year: 2006 end-page: 271 ident: CR17 article-title: Multi-symplectic Runge-Kutta-type methods for Hamiltonian wave equations publication-title: Journal of Numerical Analysis doi: 10.1093/imanum/dri042 – volume: 87 start-page: 1 issue: 1 year: 2002 end-page: 11 ident: CR11 article-title: Symplectic algorithm for use in computing the time-independent Schrödinger equation publication-title: International Journal of Quantum Chemistry doi: 10.1002/qua.10049 – volume: 69 start-page: 290 issue: 3/4 year: 2004 end-page: 303 ident: CR21 article-title: Backward error analysis for multisymplectic discretizations of Hamiltonian PDEs publication-title: Mathematics and Computers in Simulation – volume: 51 start-page: 2115 issue: 11 year: 2008 end-page: 2136 ident: CR23 article-title: Local structure-preserving algorithms for partial differential equations publication-title: Science in China Series A Mathematics doi: 10.1007/s11425-008-0046-7 – volume: 74 start-page: 2466 issue: 10 year: 2017 end-page: 2484 ident: CR8 article-title: Galerkin finite element methods for the generalized Klein-Gordon-Zakharov equations publication-title: Computers and Mathematics with Applications doi: 10.1016/j.camwa.2017.07.028 – volume: 95 start-page: 625 issue: 4 year: 2003 end-page: 652 ident: CR22 article-title: Backward error analysis for multi-symplectic integration methods publication-title: Numerische Mathematic doi: 10.1007/s00211-003-0458-9 – volume: 43 start-page: 1095 issue: 8/9 year: 2002 end-page: 1106 ident: CR20 article-title: Symplectic and multi-symplectic methods for the nonlinear Schrödinger equation publication-title: Computers and Mathematics with Applications doi: 10.1016/S0898-1221(02)80015-3 – volume: 3 start-page: 53 issue: 3 year: 2013 end-page: 59 ident: CR5 article-title: A new six point finite difference scheme for nonlinear saves interaction model publication-title: Mathematical Theory and Modeling – volume: 32 start-page: 403 issue: 4 year: 2002 end-page: 411 ident: CR33 article-title: Multi-symplectic Preissmann scheme in finite interval and its complementary condition publication-title: Journal of University of Science and Technology of China (Chinese) – volume: 199 start-page: 351 issue: 2 year: 1998 end-page: 395 ident: CR15 article-title: Multi-symplectic geometry, variational integrators, and nonlinear PDEs publication-title: Communications in Mathematical Physics doi: 10.1007/s002200050505 – volume: 227 start-page: 5492 issue: 11 year: 2012 end-page: 5512 ident: CR18 article-title: Multi-symplectic integration of the Camassa-Holm equation publication-title: Journal of Computational Physics doi: 10.1016/j.jcp.2008.01.051 – volume: 226 start-page: 1968 issue: 2 year: 2007 end-page: 1984 ident: CR19 article-title: Multi-symplectic Runge-Kutta-Nystrm methods for nonlinear Schrödinger equations with variable coefficients publication-title: Journal of Computational Physics doi: 10.1016/j.jcp.2007.06.023 – volume: 221 start-page: 433 year: 2013 end-page: 443 ident: CR7 article-title: Convergence of an efficient and compact finite difference scheme for the Klein-Gordon-Zakharov equation publication-title: Applied Mathematics and Computation doi: 10.1016/j.amc.2013.06.059 – volume: 17 start-page: 297 issue: 3/4 year: 2004 end-page: 330 ident: CR1 article-title: On a quasilinear Zakharov system describing laser-plasma interactions publication-title: Differential and Integral Equations – start-page: 1 year: 1987 end-page: 37 ident: CR9 publication-title: The Symplectic Methods for Computation of Hamiltonian Systems – volume: 27 start-page: 020202 issue: 2 year: 2018 ident: CR26 article-title: A local energy-preserving scheme for Zakharov system publication-title: Chinese Physics B doi: 10.1088/1674-1056/27/2/020202 – volume: 75 start-page: 167 issue: 253 year: 2005 end-page: 181 ident: CR16 article-title: The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs publication-title: Mathematics of Computation doi: 10.1090/S0025-5718-05-01793-X – volume: 239 start-page: 72 year: 2013 end-page: 89 ident: CR24 article-title: Local structure-preserving algorithms for the “good” Boussinesq equation publication-title: Journal of Computational Physics doi: 10.1016/j.jcp.2013.01.009 – volume: 18 start-page: 323 issue: 3 year: 1994 end-page: 339 ident: CR10 article-title: Application of symplectic algorithms to dynamic astronomy publication-title: Journal of Astronomy – volume: 172 start-page: 535 issue: 3 year: 2008 end-page: 583 ident: CR2 article-title: Energy convergence for singular limits of Zakharov type systems publication-title: Inventiones Mathematicae doi: 10.1007/s00222-008-0110-5 – volume: 348 start-page: 153 year: 2019 end-page: 166 ident: CR4 article-title: An analysis of implicit conservative difference solver for fractional Klein-Gordon-Zakharov system publication-title: Applied Mathematics and Computation doi: 10.1016/j.amc.2018.10.031 – volume: 37 start-page: 353 issue: 4/5 year: 1994 end-page: 369 ident: CR12 article-title: Symplectic methods for the nonlinear Schrödinger equation publication-title: Mathematics and Computers in Simulation doi: 10.1016/0378-4754(94)00024-7 – volume: 18 start-page: 323 issue: 3 year: 1994 end-page: 339 ident: CR13 article-title: Application of symplectic algorithm to dynamical astronomy (III) publication-title: Chinese Astronomy and Astrophysics doi: 10.1016/0275-1062(94)90047-7 – volume: 157 start-page: 473 issue: 2 year: 2000 end-page: 499 ident: CR30 article-title: Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations publication-title: Journal of Computational Physics doi: 10.1006/jcph.1999.6372 – volume: 47 start-page: 18 issue: 1 year: 2004 end-page: 30 ident: CR31 article-title: Concatenating construction of the multisymplectic schemes for 2+1-dimensional sine-Gordon equation publication-title: Science in China doi: 10.1360/01ys0410 – volume: 2 start-page: 908 year: 2009 end-page: 911 ident: CR32 article-title: Applications of the multi-symplectic Euler-box scheme publication-title: American Institute of Physics Conference Series – volume: 42 start-page: 3211 issue: 9 year: 2019 end-page: 3221 ident: CR3 article-title: Klein-Gordon-Zakharov system in energy space: Blow-up profile and subsonic limit publication-title: Mathematical Methods in the Applied Sciences doi: 10.1002/mma.5579 – volume: 83 start-page: 477 year: 1999 end-page: 496 ident: CR14 article-title: KAM theorem of symplectic algorithms for Hamiltonian systems publication-title: Numerical Mathematic doi: 10.1007/s002110050460 – volume: 24 start-page: 050205 issue: 5 year: 2015 ident: CR27 article-title: A local energy-preserving scheme for Klein-Gordon-Schrödinger equations publication-title: Chinese Physics B doi: 10.1088/1674-1056/24/5/050205 – volume: 32 start-page: 403 issue: 4 year: 2002 ident: 313_CR33 publication-title: Journal of University of Science and Technology of China (Chinese) – volume: 3 start-page: 53 issue: 3 year: 2013 ident: 313_CR5 publication-title: Mathematical Theory and Modeling – volume: 42 start-page: 3211 issue: 9 year: 2019 ident: 313_CR3 publication-title: Mathematical Methods in the Applied Sciences doi: 10.1002/mma.5579 – volume: 75 start-page: 167 issue: 253 year: 2005 ident: 313_CR16 publication-title: Mathematics of Computation doi: 10.1090/S0025-5718-05-01793-X – volume: 157 start-page: 473 issue: 2 year: 2000 ident: 313_CR30 publication-title: Journal of Computational Physics doi: 10.1006/jcph.1999.6372 – volume: 42 start-page: 085205 issue: 8 year: 2009 ident: 313_CR34 publication-title: Journal of Physics A Mathematical and Theoretical doi: 10.1088/1751-8113/42/8/085205 – volume: 87 start-page: 1 issue: 1 year: 2002 ident: 313_CR11 publication-title: International Journal of Quantum Chemistry doi: 10.1002/qua.10049 – volume: 172 start-page: 535 issue: 3 year: 2008 ident: 313_CR2 publication-title: Inventiones Mathematicae doi: 10.1007/s00222-008-0110-5 – volume: 18 start-page: 323 issue: 3 year: 1994 ident: 313_CR10 publication-title: Journal of Astronomy – volume: 51 start-page: 2115 issue: 11 year: 2008 ident: 313_CR23 publication-title: Science in China Series A Mathematics doi: 10.1007/s11425-008-0046-7 – volume: 26 start-page: 252 year: 2006 ident: 313_CR17 publication-title: Journal of Numerical Analysis doi: 10.1093/imanum/dri042 – volume: 158 start-page: 292 year: 2020 ident: 313_CR28 publication-title: Applied Numerical Mathematics doi: 10.1016/j.apnum.2020.08.006 – volume: 348 start-page: 153 year: 2019 ident: 313_CR4 publication-title: Applied Mathematics 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volume: 74 start-page: 2466 issue: 10 year: 2017 ident: 313_CR8 publication-title: Computers and Mathematics with Applications doi: 10.1016/j.camwa.2017.07.028 – volume: 239 start-page: 72 year: 2013 ident: 313_CR24 publication-title: Journal of Computational Physics doi: 10.1016/j.jcp.2013.01.009 – volume: 37 start-page: 353 issue: 4/5 year: 1994 ident: 313_CR12 publication-title: Mathematics and Computers in Simulation doi: 10.1016/0378-4754(94)00024-7 – volume: 18 start-page: 323 issue: 3 year: 1994 ident: 313_CR13 publication-title: Chinese Astronomy and Astrophysics doi: 10.1016/0275-1062(94)90047-7 – volume: 239 start-page: 289 issue: 3 year: 2017 ident: 313_CR25 publication-title: Journal of Computational Mathematics doi: 10.4208/jcm.1605-m2015-0343 – volume: 27 start-page: 020202 issue: 2 year: 2018 ident: 313_CR26 publication-title: Chinese Physics B doi: 10.1088/1674-1056/27/2/020202 – volume: 227 start-page: 5492 issue: 11 year: 2012 ident: 313_CR18 publication-title: Journal of Computational Physics doi: 10.1016/j.jcp.2008.01.051 – volume: 43 start-page: 1095 issue: 8/9 year: 2002 ident: 313_CR20 publication-title: Computers and Mathematics with Applications doi: 10.1016/S0898-1221(02)80015-3 – volume: 29 start-page: 1028 issue: 8 year: 2012 ident: 313_CR29 publication-title: Chinese Physical Letter – volume: 2 start-page: 908 year: 2009 ident: 313_CR32 publication-title: American Institute of Physics Conference Series – volume: 83 start-page: 477 year: 1999 ident: 313_CR14 publication-title: Numerical Mathematic doi: 10.1007/s002110050460 – volume: 69 start-page: 290 issue: 3/4 year: 2004 ident: 313_CR21 publication-title: Mathematics and Computers in Simulation – volume: 221 start-page: 433 year: 2013 ident: 313_CR7 publication-title: Applied Mathematics and Computation doi: 10.1016/j.amc.2013.06.059 – volume: 95 start-page: 625 issue: 4 year: 2003 ident: 313_CR22 publication-title: Numerische Mathematic doi: 10.1007/s00211-003-0458-9 |
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| Title | Local Structure-Preserving Algorithms for the Klein-Gordon-Zakharov Equation |
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