Organizers of this minisymposium are<\/p>\n
Nonlinear wave equations arise in a broad range of applications, including nonlinear optics, continuum physics, and field theory, and often exhibit nonsmooth dynamics caused by rough initial data, interfaces, or the propagation of discontinuities. In such regimes, standard numerical methods may suffer from severe difficulties: low regularity complicates stability and error analysis, while classical discretizations frequently generate pronounced spurious oscillations near jumps. Therefore, computing discontinuous or rough solutions of nonlinear wave equations is a timely and important topic in the numerical analysis of dispersive PDEs. Organizers of this minisymposium are Buyang Li (Hong Kong, Hong Kong) Jiachuan Cao (Karlsruhe, Germany) Nonlinear wave equations arise in a broad range of applications, including nonlinear optics, continuum physics, and field theory, and often exhibit nonsmooth dynamics caused by rough initial data, interfaces, or the propagation of discontinuities. In such regimes, standard numerical methods […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":92,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-154","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/pages\/154","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=154"}],"version-history":[{"count":1,"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/pages\/154\/revisions"}],"predecessor-version":[{"id":155,"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/pages\/154\/revisions\/155"}],"up":[{"embeddable":true,"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/pages\/92"}],"wp:attachment":[{"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=154"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\nThis minisymposium focuses on recent advances in the design, analysis, and implementation of robust numerical methods for nonlinear wave equations with low-regularity or discontinuous solutions. Topics of interest include low-regularity integrators, structure-preserving and filtering techniques, spectral and Fourier-based methods, and rigorous convergence theory below the classical smoothness setting.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"