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A Particle Partition of Unity Method
  • Language: en
  • Pages: 23

A Particle Partition of Unity Method

  • Type: Book
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  • Published: 2008
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  • Publisher: Unknown

None

A Multilevel Solver
  • Language: en
  • Pages: 20

A Multilevel Solver

  • Type: Book
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  • Published: 2001
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  • Publisher: Unknown

None

Efficient Cover Construction and Reliable Integration
  • Language: en
  • Pages: 28

Efficient Cover Construction and Reliable Integration

  • Type: Book
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  • Published: 2001
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  • Publisher: Unknown

None

Frontiers of Numerical Analysis
  • Language: en
  • Pages: 273

Frontiers of Numerical Analysis

Contains lecture notes on four topics at the forefront of research in computational mathematics. This book presents a self-contained guide to a research area, an extensive bibliography, and proofs of the key results. It is suitable for professional mathematicians who require an accurate account of research in areas parallel to their own.

Computational Methods
  • Language: en
  • Pages: 954

Computational Methods

The First International Conference on Computational Methods (ICCM04), organized by the department of Mechanical Engineering, National University of Singapore, was held in Singapore, December 15-17, 2004, with great success. This conference proceedings contains some 290 papers from more than 30 countries/regions. The papers cover a broad range of topics such as meshfree particle methods, Generalized FE and Extended FE methods, inverse analysis and optimization methods. Computational methods for geomechanics, machine learning, vibration, shock, impact, health monitoring, material modeling, fracture and damage mechanics, multi-physics and multi-scales simulation, sports and environments are also included. All the papers are pre-reviewed before they are accepted for publication in this proceedings. The proceedings will provide an informative, timely and invaluable resource for engineers and scientists working in the important areas of computational methods.

Computational Mechanics
  • Language: en
  • Pages: 712

Computational Mechanics

None

Singular Phenomena and Scaling in Mathematical Models
  • Language: en
  • Pages: 432

Singular Phenomena and Scaling in Mathematical Models

The book integrates theoretical analysis, numerical simulation and modeling approaches for the treatment of singular phenomena. The projects covered focus on actual applied problems, and develop qualitatively new and mathematically challenging methods for various problems from the natural sciences. Ranging from stochastic and geometric analysis over nonlinear analysis and modelling to numerical analysis and scientific computation, the book is divided into the three sections: A) Scaling limits of diffusion processes and singular spaces, B) Multiple scales in mathematical models of materials science and biology and C) Numerics for multiscale models and singular phenomena. Each section addresses the key aspects of multiple scales and model hierarchies, singularities and degeneracies, and scaling laws and self-similarity.

Numerical Homogenization by Localized Decomposition
  • Language: en
  • Pages: 121

Numerical Homogenization by Localized Decomposition

  • Type: Book
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  • Published: 2020-11-23
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  • Publisher: SIAM

This book presents the first survey of the Localized Orthogonal Decomposition (LOD) method, a pioneering approach for the numerical homogenization of partial differential equations with multiscale data beyond periodicity and scale separation. The authors provide a careful error analysis, including previously unpublished results, and a complete implementation of the method in MATLAB. They also reveal how the LOD method relates to classical homogenization and domain decomposition. Illustrated with numerical experiments that demonstrate the significance of the method, the book is enhanced by a survey of applications including eigenvalue problems and evolution problems. Numerical Homogenization by Localized Orthogonal Decomposition is appropriate for graduate students in applied mathematics, numerical analysis, and scientific computing. Researchers in the field of computational partial differential equations will find this self-contained book of interest, as will applied scientists and engineers interested in multiscale simulation.

Handbook of Peridynamic Modeling
  • Language: en
  • Pages: 587

Handbook of Peridynamic Modeling

  • Type: Book
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  • Published: 2016-11-03
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  • Publisher: CRC Press

This handbook covers the peridynamic modeling of failure and damage. Peridynamics is a reformulation of continuum mechanics based on integration of interactions rather than spatial differentiation of displacements. The book extends the classical theory of continuum mechanics to allow unguided modeling of crack propagation/fracture in brittle, quasi-brittle, and ductile materials; autonomous transition from continuous damage/fragmentation to fracture; modeling of long-range forces within a continuous body; and multiscale coupling in a consistent mathematical framework.

High Performance Computing
  • Language: en
  • Pages: 710

High Performance Computing

  • Type: Book
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  • Published: 2016-10-05
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  • Publisher: Springer

This book constitutes revised selected papers from 7 workshops that were held in conjunction with the ISC High Performance 2016 conference in Frankfurt, Germany, in June 2016. The 45 papers presented in this volume were carefully reviewed and selected for inclusion in this book. They stem from the following workshops: Workshop on Exascale Multi/Many Core Computing Systems, E-MuCoCoS; Second International Workshop on Communication Architectures at Extreme Scale, ExaComm; HPC I/O in the Data Center Workshop, HPC-IODC; International Workshop on OpenPOWER for HPC, IWOPH; Workshop on the Application Performance on Intel Xeon Phi – Being Prepared for KNL and Beyond, IXPUG; Workshop on Performance and Scalability of Storage Systems, WOPSSS; and International Workshop on Performance Portable Programming Models for Accelerators, P3MA.