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"This book introduces the basic ideas to build discontinuous Galerkin methods and, at the same time, incorporates several recent mathematical developments. The material covers a wide range of model problems, both steady and unsteady, elaborating from advection-reaction and diffusion problems up to the Navier-Stokes equations and Friedrichs' systems. Both finite element and finite volume viewpoints are exploited to convey the main ideas underlying the design of the approximation. "

"Discontinuous Galerkin (DG) methods for solving partial differential equations, developed in the late 1990s, have become popular among computational scientists. This book covers both theory and computation as it focuses on three primal DG methods -- the symmetric interior penalty Galerkin, incomplete interior penalty Galerkin, and nonsymmetric interior penalty Galerkin which are variations of interior penalty methods. The author provides the basic tools for analysis and discusses coding issues, including data structure, construction of local matrices, and assembling of the global matrix. Computational examples and applications to important engineering problems are also included."

"This book collects chapters dealing with some of the theoretical aspects needed to properly discuss the dynamics of complex engineering systems. The book illustrates advanced theoretical development and new techniques designed to better solve problems within the nonlinear dynamical systems. Topics covered in this volume include advances on fixed point results on partial metric spaces, localization of the spectral expansions associated with the partial differential operators, irregularity in graphs and inverse problems, Hyers-Ulam and Hyers-Ulam-Rassias stability for integro-differential equations, fixed point results for mixed multivalued mappings of Feng-Liu type on Mb-metric spaces, and the limit q-Bernstein operators, analytical investigation on the fractional diffusion absorption equation."

"Subnorm pada suatu aljabar adalah fungsi bernilai real yang memiliki syarat-syarat tertentu.Dalam skripsi ini digunakan suatu topologi norm pada aljabar tersebut untukmenentukan kekontinuan dari subnorm. Dalam skripsi ini, dibahas subnorm yang diskontinudi mana-mana pada suatu aljabar pangkat asosiatif. Aljabar pangkat asosiatif adalahsuatu aljabar yang setiap elemennya membangkitkan suatu subaljabar yang asosiatif.

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A Subnorm on an Algebra is a real valued function with certain requirements. Normtopology is used to determine the continuity of a subnorm. In this undergraduate thesis,discontinuous everywhere subnorms is discussed on a power associative algebra. Powerassociative algebra is an algebra that every single element generate an associative subalgebra."