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  Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Partial Differential Equations (G.1.8)  
 
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  1-10 of 209 Reviews about "Partial Differential Equations (G.1.8)": Date Reviewed
  PDE dynamics: an introduction
Kuehn C., SIAM-Society for Industrial and Applied Mathematics, Philadelphia, PA, 2019. 245 pp.  Type: Book (978-1-611975-65-9)

Interactions between partial differential equations (PDEs) and dynamical systems are explored in this book. PDEs involving time intervals are used to explain many problems. The study of dynamics can help readers understand PDEs via tim...

Feb 12 2020
  Analytical techniques for solving nonlinear partial differential equations
Arrigo D., Morgan&Claypool Publishers, San Rafael, CA, 2019. 166 pp.  Type: Book (978-1-681735-33-7)

Nonlinear partial differential equations (NLPDEs) are widespread in science and engineering. They assist in solving many problems, as well as model many things surrounding us....

Dec 18 2019
  PDE models for atherosclerosis computer implementation in R
Schiesser W., Morgan&Claypool Publishers, San Rafael, CA, 2018. 141 pp.  Type: Book (978-1-681734-43-9)

Atherosclerosis is a pathological condition that needs extensive research beyond clinical studies. This small and very practical book presents bloodstream modeling of low-density lipoprotein (LDL) and high-density lipoprotein (HDL) cho...

Oct 8 2019
  Finite element applications: a practical guide to the FEM process
Okereke M., Keates S., Springer International Publishing, New York, NY, 2018. 472 pp.  Type: Book (978-3-319671-24-6)

Much of modern engineering owes its existence to the finite element method (FEM), which makes the impossible possible while also allowing us to build bigger, safer, and cheaper than ever before. Yet, as with any other tool in the engin...

Feb 5 2019
  Introduction to inverse problems for differential equations
Hasanoǧlu A., Romanov V., Springer International Publishing, New York, NY, 2017. 261 pp.  Type: Book (978-3-319627-96-0)

Several mathematical problems in science, engineering, and technology are inverse problems. For example, inverse problem theory is often used in heat and mass transfer, imaging, hydrology, oceanography, and so on. In general, inverse p...

Sep 12 2018
  Higher-order adaptive finite difference methods for fully nonlinear elliptic equations
Froese Hamfeldt B., Salvador T. Journal of Scientific Computing 75(3): 1282-1306, 2018.  Type: Article

The authors extend Hamfeldt’s work [1] to solve a class of fully nonlinear degenerate elliptic partial differential problems. Hamfeldt previously developed a meshfree finite difference scheme for the weak form of the problem....

Aug 31 2018
  An introduction to partial differential equations
Arrigo D., Morgan&Claypool Publishers, San Rafael, CA, 2018. 168 pp.  Type: Book (978-1-681732-54-1)

Partial differential equations (PDEs) are used in several branches of engineering and science. For example, physical laws (like conservation of mass, momentum, and energy) model many physical, chemical, and biological processes. These ...

Jul 27 2018
  Grid generation methods
Liseikin V., Springer International Publishing, New York, NY, 2017. 530 pp.  Type: Book (978-3-319578-45-3)

Many software systems in the field of scientific computing, in particular in the area of computational simulations, require the user to provide a decomposition of the geometrical domain of interest into a (typically very large) set of ...

Apr 25 2018
  Finite elements: theory and algorithms
Ganesan S., Tobiska L., Cambridge University Press, New York, NY, 2017. 216 pp.  Type: Book (978-1-108415-70-5)

The finite-element method is a well-established mathematical tool that allows the use of computing techniques for the solution of problems arising in the sciences and engineering. As such, it is a topic that can be addressed from many ...

Feb 1 2018
  A finite element method for high-contrast interface problems with error estimates independent of contrast
Guzmán J., Sánchez M., Sarkis M. Journal of Scientific Computing 73(1): 330-365, 2017.  Type: Article

Guzmán et al. explain their method with a polygonal, convex, tubular domain, and an immersed interface definable with a function with the first derivative, which does not change in time. The jumps across a discontinuity are defined as ...

Jan 24 2018
 
 
 
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