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Books > Science & Mathematics > Mathematics > Numerical analysis
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Meshless Methods and Their Numerical Properties (Hardcover, New)
Loot Price: R6,312
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Meshless Methods and Their Numerical Properties (Hardcover, New)
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Meshless, or meshfree methods, which overcome many of the
limitations of the finite element method, have achieved significant
progress in numerical computations of a wide range of engineering
problems. A comprehensive introduction to meshless methods,
Meshless Methods and Their Numerical Properties gives complete
mathematical formulations for the most important and classical
methods, as well as several methods recently developed by the
authors. This book also offers a rigorous mathematical treatment of
their numerical properties-including consistency, convergence,
stability, and adaptivity-to help you choose the method that is
best suited for your needs. Get Guidance for Developing and Testing
Meshless Methods Developing a broad framework to study the
numerical computational characteristics of meshless methods, the
book presents consistency, convergence, stability, and adaptive
analyses to offer guidance for developing and testing a particular
meshless method. The authors demonstrate the numerical properties
by solving several differential equations, which offer a clearer
understanding of the concepts. They also explain the difference
between the finite element and meshless methods. Explore
Engineering Applications of Meshless Methods The book examines how
meshless methods can be used to solve complex engineering problems
with lower computational cost, higher accuracy, easier construction
of higher-order shape functions, and easier handling of large
deformation and nonlinear problems. The numerical examples include
engineering problems such as the CAD design of MEMS devices,
nonlinear fluid-structure analysis of near-bed submarine pipelines,
and two-dimensional multiphysics simulation of pH-sensitive
hydrogels. Appendices supply useful template functions, flowcharts,
and data structures to assist you in implementing meshless methods.
Choose the Best Method for a Particular Problem Providing insight
into the special features and intricacies of meshless methods, this
is a valuable reference for anyone developing new high-performance
numerical methods or working on the modelling and simulation of
practical engineering problems. It guides you in comparing and
verifying meshless methods so that you can more confidently select
the best method to solve a particular problem.
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