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Presents standard numerical approaches for solving common mathematical problems in engineering using Python. Covers the most common numerical calculations used by engineering students Covers Numerical Differentiation and Integration, Initial Value Problems, Boundary Value Problems, and Partial Differential Equations Focuses on open ended, real world problems that require students to write a short report/memo as part of the solution process Includes an electronic download of the Python codes presented in the book
1. Mathematical preliminaries and error analysis -- 2. Solutions of equations in one variable -- 3. Interpolation and polynomial approximation -- 4. Numerical differentiation and integration -- 5. Initial-value problems for ordinary differential equations -- 6. Direct methods for solving linear systems -- 7. Iterative techniques in matrix algebra -- 8. Approximation theory -- 9. Approximating eigenvalues -- 10. Numerical solutions of nonlinear systems of equations -- 11. Boundary-value problems for ordinary differential equations -- 12. Numerical solutions to partial differential equations. Local Subj.
This book collects the proceedings of the Parallel Computational Fluid Dynamics 2008 conference held in Lyon, France. Contributed papers by over 40 researchers representing the state of the art in parallel CFD and architecture from Asia, Europe, and North America examine major developments in (1) block-structured grid and boundary methods to simulate flows over moving bodies, (2) specific methods for optimization in Aerodynamics Design, (3) innovative parallel algorithms and numerical solvers, such as scalable algebraic multilevel preconditioners and the acceleration of iterative solutions, (4) software frameworks and component architectures for parallelism, (5) large scale computing and parallel efficiencies in the industrial context, (6) lattice Boltzmann and SPH methods, and (7) applications in the environment, biofluids, and nuclear engineering.
بعد مضي أكثر من 25 عاماً على ظهور الطبعة الأولى من هذا الكتاب، الذي صدر بعد عقد من التقدم الكبير في التقنيات وانتشار منظومات الحاسوب الجديدة؛ يوفر هذا الإصدار الجديد من (التحليل العددي) للقارئ مواكبة آخر ما توصلت إليه طرائق التحليل العددية، ويمكّن الطلاب الذين أنهوا السنة الجامعية الأولى في تخصصات الرياضيات والعلوم والهندسة من سلسلة التفاضل والتكامل. يستعمل هذا الكتاب، أيضاً بوصفه ...
Experts examine ways in which the use of increasingly powerful and versatile digital information and communication technologies are transforming research activities across all disciplines. Advances in information and communication technology are transforming the way scholarly research is conducted across all disciplines. The use of increasingly powerful and versatile computer-based and networked systems promises to change research activity as profoundly as the mobile phone, the Internet, and email have changed everyday life. This book offers a comprehensive and accessible view of the use of these new approaches—called “e-Research”—and their ethical, legal, and institutional implicati...
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