This book constitutes the refereed proceedings of the 4th International Conference on Next Generation Arithmetic, CoNGA 2023, held in Singapore, during March 1-2, 2023. The 11 full papers in this book were carefully reviewed and selected from 16 submissions. They were organized in topical sections as follows: Lossless FFTs Using Posit Arithmetic, PLAUs: Posit Logarithmic Approximate Units to Implement Low-Cost Operations with Real Numbers.
Numerical Methods for Scientists and Engineers: With Pseudocodes is designed as a primary textbook for a one-semester course on Numerical Methods for sophomore or junior-level students. It covers the fundamental numerical methods required for scientists and engineers, as well as some advanced topics which are left to the discretion of instructors. The objective of the text is to provide readers with a strong theoretical background on numerical methods encountered in science and engineering, and to explain how to apply these methods to practical, real-world problems. Readers will also learn how to convert numerical algorithms into running computer codes. Features: Numerous pedagogic features including exercises, “pros and cons” boxes for each method discussed, and rigorous highlighting of key topics and ideas Suitable as a primary text for undergraduate courses in numerical methods, but also as a reference to working engineers A Pseudocode approach that makes the book accessible to those with different (or no) coding backgrounds, which does not tie instructors to one particular language over another A dedicated website featuring additional code examples, quizzes, exercises, discussions, and more: https://github.com/zaltac/NumMethodsWPseudoCodes A complete Solution Manual and PowerPoint Presentations are available (free of charge) to instructors at www.routledge.com/9781032754741
This document, which consists of approximately 2500 lecture slides, offers a wealth of information on many topics relevant to programming in C++, including coverage of the C++ language itself, the C++ standard library and a variety of other libraries, numerous software tools, and an assortment of other programming-related topics. The coverage of the C++ language and standard library is current with the C++17 standard. C++ PROGRAMMING LANGUAGE. Many aspects of the C++ language are covered from introductory to more advanced. This material includes: the preprocessor, language basics (objects, types, values, operators, expressions, control-flow constructs, functions, and namespaces), classes, templates (function, class, variable, and alias templates, variadic templates, template specialization, and SFINAE), lambda expressions, inheritance (run-time polymorphism and CRTP), exceptions (exception safety and RAII), smart pointers, memory management (new and delete operators and expressions, placement new, and allocators), rvalue references (move semantics and perfect forwarding), concurrency (memory models, and happens-before and synchronizes-with relationships), compile-time computation, and various other topics (e.g., copy elision and initialization). C++ STANDARD LIBRARY AND VARIOUS OTHER LIBRARIES. Various aspects of the C++ standard library are covered including: containers, iterators, algorithms, I/O streams, time measurement, and concurrency support (threads, mutexes, condition variables, promises and futures, atomics, and fences). A number of Boost libraries are discussed, including the Intrusive, Iterator, and Container libraries. The OpenGL library and GLSL are discussed at length, along with several related libraries, including: GLFW, GLUT, and GLM. The CGAL library is also discussed in some detail. SOFTWARE TOOLS. A variety of software tools are discussed, including: static analysis tools (e.g., Clang Tidy and Clang Static Analyzer), code sanitizers (e.g., ASan, LSan, MSan, TSan, and UBSan), debugging and testing tools (e.g., Valgrind, LLVM XRay, and Catch2), performance analysis tools (e.g., Perf, PAPI, Gprof, and Valgrind/Callgrind), build tools (e.g., CMake and Make), version control systems (e.g., Git), code coverage analysis tools (e.g., Gcov, LLVM Cov, and Lcov), online C++ compilers (e.g., Compiler Explorer and C++ Insights), and code completion tools (e.g., YouCompleteMe, and LSP clients/servers).
This open access book constitutes the proceedings of the 28th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2022, which was held during April 2-7, 2022, in Munich, Germany, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2022. The 46 full papers and 4 short papers presented in this volume were carefully reviewed and selected from 159 submissions. The proceedings also contain 16 tool papers of the affiliated competition SV-Comp and 1 paper consisting of the competition report. TACAS is a forum for researchers, developers, and users interested in rigorously based tools and algorithms for the construction and analysis of systems. The conference aims to bridge the gaps between different communities with this common interest and to support them in their quest to improve the utility, reliability, exibility, and efficiency of tools and algorithms for building computer-controlled systems.
This textbook introduces key numerical algorithms used for problems arising in three core areas of scientific computing: calculus, differential equations, and linear algebra. Theoretical results supporting the derivation and error analysis of algorithms are given rigorous justification in the text and exercises, and a wide variety of detailed computational examples further enhance the understanding of key concepts. Numerical Mathematics includes topics not typically discussed in similar texts at this level, such as a Fourier-based analysis of the trapezoid rule, finite volume methods for the 2D Poisson problem, the Nyström method for approximating the solution of integral equations, and the relatively new FEAST method for targeting clusters of eigenvalues and their eigenvectors. An early emphasis is given to recognizing or deducing orders of convergence in practice, which is essential for assessing algorithm performance and debugging computational software. Numerical experiments complement many of the theorems concerning convergence, illustrating typical behavior of the associated algorithms when the assumptions of the theorems are satisfied and when they are not. This book is intended for advanced undergraduate and beginning graduate students in mathematics seeking a solid foundation in the theory and practice of scientific computing. Students and researchers in other disciplines who want a fuller understanding of the principles underlying these algorithms will also find it useful. The text is divided into three parts, corresponding to numerical methods for problems in calculus, differential equations, and linear algebra. Each part can be used for a one-term course (quarter or semester), making the book suitable for a two- or three-term sequence in numerical analysis or for largely independent courses on any of the three main topics.
This book explores the technological developments at various levels of abstraction, of the new paradigm of approximate computing. The authors describe in a single-source the state-of-the-art, covering the entire spectrum of research activities in approximate computing, bridging device, circuit, architecture, and system levels. Content includes tutorials, reviews and surveys of current theoretical/experimental results, design methodologies and applications developed in approximate computing for a wide scope of readership and specialists. Serves as a single-source reference to state-of-the-art of approximate computing; Covers broad range of topics, from circuits to applications; Includes contributions by leading researchers, from academia and industry.
