{"id":456,"date":"2021-07-16T13:03:50","date_gmt":"2021-07-16T13:03:50","guid":{"rendered":"https:\/\/site.uvm.edu\/jxyang\/?page_id=456"},"modified":"2021-07-19T01:17:34","modified_gmt":"2021-07-19T01:17:34","slug":"matlab-codes-for-proposed-numerical-methods","status":"publish","type":"page","link":"https:\/\/site.uvm.edu\/jxyang\/?page_id=456","title":{"rendered":"Matlab Codes"},"content":{"rendered":"\n<p><\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Books<\/strong><\/td><td><strong>Matlab Codes<\/strong><\/td><\/tr><tr><td>J. Yang, &#8220;<a href=\"http:\/\/bookstore.siam.org\/mm16\" target=\"_blank\" rel=\"noreferrer noopener\">Nonlinear Waves in&nbsp;Integrable&nbsp;and&nbsp;Nonintegrable&nbsp;Systems<\/a>&#8220;, SIAM (2010).<\/td><td><a href=\"https:\/\/cemsweb.w3.uvm.edu\/public\/jxyang\/codes_siam_book.htm\" target=\"_blank\" rel=\"noreferrer noopener\">Codes<\/a><\/td><\/tr><tr><td>M.&nbsp;Skorobogatiy&nbsp;and J. Yang, &#8220;<a href=\"http:\/\/site.uvm.edu\/jxyang\/files\/2021\/05\/bookcover.bmp\" target=\"_blank\" rel=\"noreferrer noopener\">Fundamentals of Photonic Crystal Guiding<\/a>&#8220;, Cambridge University Press, ISBN-10: 0521513286 (2009).<\/td><td><a href=\"https:\/\/cemsweb.w3.uvm.edu\/public\/jxyang\/codes_book_photonic_crystal.htm\" target=\"_blank\" rel=\"noreferrer noopener\">Codes<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Papers<\/strong><\/td><td><strong>Matlab Codes<\/strong><\/td><\/tr><tr><td>J. Yang, &#8220;<a href=\"http:\/\/site.uvm.edu\/jxyang\/files\/2021\/05\/PT_breaking_2D_PRE2015.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Symmetry breaking of solitons in two-dimensional complex potentials<\/a>&#8220;, Phys. Rev. E 91, 023201 (2015) (see also&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1410.3039\" target=\"_blank\" rel=\"noreferrer noopener\">arXiv:1410.3039<\/a>&nbsp;[nlin.PS], 2014).<\/td><td><a href=\"https:\/\/cemsweb.w3.uvm.edu\/public\/jxyang\/codes_PPT_soliton.htm\" target=\"_blank\" rel=\"noreferrer noopener\">Codes<\/a><\/td><\/tr><tr><td>J. Yang,&nbsp;<a href=\"http:\/\/site.uvm.edu\/jxyang\/files\/2021\/05\/SAPM_2015_time_periodic.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">&#8220;A numerical method for computing time-periodic solutions in dissipative wave systems&#8221;<\/a>, Stud. Appl. Math. 134, 420-455 (2015) (see also&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1408.6490\">arXiv:1408.6490<\/a>&nbsp;[nlin.PS], 2014).<\/td><td><a href=\"https:\/\/cemsweb.w3.uvm.edu\/public\/jxyang\/codes_time_periodic.htm\" target=\"_blank\" rel=\"noreferrer noopener\">Codes<\/a><\/td><\/tr><tr><td>J. Yang,&nbsp;<a href=\"http:\/\/site.uvm.edu\/jxyang\/files\/2021\/05\/JCP_2009.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">&#8220;Newton-conjugate-gradient methods for solitary wave computations&#8221;,&nbsp;<\/a>J. Comp. Phys. 228, 7007-7024 (2009).<\/td><td><a href=\"https:\/\/cemsweb.w3.uvm.edu\/public\/jxyang\/codes_Newton_CG.htm\" target=\"_blank\" rel=\"noreferrer noopener\">Codes<\/a><\/td><\/tr><tr><td>J. Yang,&nbsp;<a href=\"http:\/\/site.uvm.edu\/jxyang\/files\/2021\/05\/JCP_2008.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">&#8220;Iteration methods for stability spectra of solitary waves&#8221;,&nbsp;<\/a>J. Comp. Phys. 227, 6862-6876 (2008).<br><br><\/td><td><a href=\"https:\/\/cemsweb.w3.uvm.edu\/public\/jxyang\/codes_eigenvalues.htm\" target=\"_blank\" rel=\"noreferrer noopener\">Codes<\/a><\/td><\/tr><tr><td>J. Yang and T.I.&nbsp;Lakoba,&nbsp;<a href=\"http:\/\/site.uvm.edu\/jxyang\/files\/2021\/05\/AITEM.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">&#8220;Accelerated Imaginary-time Evolution Methods for the Computation of Solitary Waves&#8221;,&nbsp;<\/a>Stud. Appl. Math. 120, 265-292 (2008).<\/td><td><a href=\"https:\/\/cemsweb.w3.uvm.edu\/public\/jxyang\/codes_AITEM.htm\" target=\"_blank\" rel=\"noreferrer noopener\">Codes<\/a><\/td><\/tr><tr><td>T.I.&nbsp;Lakoba&nbsp;and J. Yang,&nbsp;<a href=\"http:\/\/site.uvm.edu\/jxyang\/files\/2021\/05\/Petviashvili.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">&#8220;A generalized&nbsp;Petviashvili&nbsp;iteration method&nbsp;forscalar&nbsp;and vector Hamiltonian equations with arbitrary form of nonlinearity&#8221;,&nbsp;<\/a>J. Comp. Phys. 226, 1668-1692 (2007).<\/td><td><a href=\"https:\/\/cemsweb.w3.uvm.edu\/public\/jxyang\/codes_Petviashvili.htm\" target=\"_blank\" rel=\"noreferrer noopener\">Codes<\/a><\/td><\/tr><tr><td>J. Yang and T.I.&nbsp;Lakoba,&nbsp;<a href=\"http:\/\/site.uvm.edu\/jxyang\/files\/2021\/05\/SOM_paper.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">&#8220;Universally-convergent squared-operator iteration methods for solitary&nbsp;waves&nbsp;in general nonlinear wave equations&#8221;,&nbsp;<\/a>Stud. Appl. Math. 118, 153-197 (2007).<\/td><td><a href=\"https:\/\/cemsweb.w3.uvm.edu\/public\/jxyang\/codes_SOM.htm\" target=\"_blank\" rel=\"noreferrer noopener\">Codes<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Books Matlab Codes J. Yang, &#8220;Nonlinear Waves in&nbsp;Integrable&nbsp;and&nbsp;Nonintegrable&nbsp;Systems&#8220;, SIAM (2010). Codes M.&nbsp;Skorobogatiy&nbsp;and J. Yang, &#8220;Fundamentals of Photonic Crystal Guiding&#8220;, Cambridge University Press, ISBN-10: 0521513286 (2009). Codes Papers Matlab Codes J. Yang, &#8220;Symmetry breaking of solitons in two-dimensional complex potentials&#8220;, Phys. Rev. E 91, 023201 (2015) (see also&nbsp;arXiv:1410.3039&nbsp;[nlin.PS], 2014). Codes J. Yang,&nbsp;&#8220;A numerical method for computing &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/site.uvm.edu\/jxyang\/?page_id=456\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Matlab Codes&#8221;<\/span><\/a><\/p>\n","protected":false},"author":6934,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-456","page","type-page","status-publish","hentry","entry"],"featured_image_src":null,"featured_image_src_square":null,"_links":{"self":[{"href":"https:\/\/site.uvm.edu\/jxyang\/index.php?rest_route=\/wp\/v2\/pages\/456","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/site.uvm.edu\/jxyang\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/site.uvm.edu\/jxyang\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/site.uvm.edu\/jxyang\/index.php?rest_route=\/wp\/v2\/users\/6934"}],"replies":[{"embeddable":true,"href":"https:\/\/site.uvm.edu\/jxyang\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=456"}],"version-history":[{"count":17,"href":"https:\/\/site.uvm.edu\/jxyang\/index.php?rest_route=\/wp\/v2\/pages\/456\/revisions"}],"predecessor-version":[{"id":478,"href":"https:\/\/site.uvm.edu\/jxyang\/index.php?rest_route=\/wp\/v2\/pages\/456\/revisions\/478"}],"wp:attachment":[{"href":"https:\/\/site.uvm.edu\/jxyang\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=456"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}