Fundamentals -- Overview of Meshfree Methods -- Meshfree Shape Function Construction -- Meshfree Methods Based on Global Weak-Forms -- Meshfree Methods Based on Local Weak-Forms -- Meshfree Collocation Methods -- Meshfree Methods Based on Combination of Local Weak-Form and Collocation.This book aims to present meshfree methods in a friendly and straightforward manner, so that beginners can very…
Basic Graph Theory -- Algorithms and Complexity -- Shortest Paths -- Spanning Trees -- The Greedy Algorithm -- Flows -- Combinatorial Applications -- Connectivity and Depth First Search -- Colorings -- Circulations -- The Network Simplex Algorithm -- Synthesis of Networks -- Matchings -- Weighted matchings -- A Hard Problem: The TSP.From the reviews of the first edition: ".... The book is a fir…
Optimization Problems Related to Internet Congestion Control -- Problems in Data Structures and Algorithms -- Algorithmic Graph Theory and Its Applications -- Decompositions and Forcing Relations in Graphs and Other Combinatorial Structures -- The Local Ratio Technique and Its Application to Scheduling and Resource Allocation Problems -- Domination Analysis of Combinatorial Optimization Algorit…
to MuPAD -- Mathematical graphics with MuPAD -- to calculus of one variable -- Multivariable calculus -- Algebra with MuPAD -- Data visualization and elementary statistics -- A brief introduction to programming.The world of mathematics is probably one of the most fascinating creations of mankind. The world of mathematics with a Computer Algebra System, like MuPAD, is even more fascinating. With…
Invited Talks -- Minisymposium: Domain Decomposition Methods for Wave Propagation in Unbounded Media -- Minisymposium: Parallel Finite Element Software -- Minisymposium: Collaborating Subdomains for Multi-Scale Multi-Physics Modelling -- Minisymposium: Recent Developments for Schwarz Methods -- Minisymposium: Trefftz-Methods -- Minisymposium: Domain Decomposition on Nonmatching Grids -- Minisym…
Concepts and abstract algorithms -- Implementation of model problems -- Data structures and implementation.During the last years, scientific computing has become an important research branch located between applied mathematics and applied sciences and engineering. Highly efficient numerical methods are based on adaptive methods, higher order discretizations, fast linear and non-linear iterative…
A large international conference on High Performance Computing and its - plications was held in Shanghai, China, August 8–10, 2004. It served as a forum to present current work by researchers and software developers from around the world as well as to highlight activities in the high performance computing area. It aimed to bring together research scientists, application - oneers,andsoftwarede…
Convergence -- Finite Differences -- Eigenvalues -- The Finite-Difference Time-Domain Method -- The Finite Element Method -- The Method of Moments -- Summary and Overview.Computational Electromagnetics is a young and growing discipline, expanding as a result of the steadily increasing demand for software for the design and analysis of electrical devices. This book introduces three of the most p…
Foreword -- Introduction -- The Homogeneous Case -- Hilbert Functions -- Further Applications -- A. The ABC of CoCoA 5 -- B. Suggestions for Further Reading -- C. Hints for Selected Exercises -- Bibliography.Computational Commutative Algebra 2 is the natural continuation of Computational Commutative Algebra 1 with some twists, starting with the differently coloured cover graphics. The first vol…
Scientific Computing -- Computational Science “Same Old Silence, Same Old Mistakes” “Something More Is Needed … ” -- Massively Parallel Simulations with DOE?s ASCI Supercomputers: An Overview of the Los Alamos Crestone Project -- Methods -- Adaptive Mesh Refinement on Overlapping Grids -- A Dynamically Adaptive Arbitrary Lagrangian-Eulerian Method for Hydrodynamics -- Front Tracking A…