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  Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Ordinary Differential Equations (G.1.7)  
 
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  1-10 of 156 Reviews about "Ordinary Differential Equations (G.1.7)": Date Reviewed
  Dynamics and bifurcation in networks: theory and applications of coupled differential equations
Golubitsky M., Stewart I., SIAM, New York, NY, 2023. 870 pp.  Type: Book (1611977320)

This magnificent book covers the impact of (a) inherent symmetry in a class of ordinary differential equations (ODEs); (b) inherent structural symmetry in the underlying graph/network; and (c) their interaction on the overall stability and bifurca...

Dec 27 2023
  Multigrid for matrix-free high-order finite element computations on graphics processors
Kronbichler M., Ljungkvist K. ACM Transactions on Parallel Computing 6(1): 1-32, 2019.  Type: Article

Discretization is a method for transforming continuous variables, equations, functions, and models into their discrete equivalents. A multigrid technique uses a hierarchy of discretization to solve elliptic partial differential equatio...

Apr 7 2021
  Performance prediction of explicit ODE methods on multi-core cluster systems
Scherg M., Seiferth J., Korch M., Rauber T.  ICPE 2019 (Proceedings of the 2019 ACM/SPEC International Conference on Performance Engineering, Mumbai, India, Apr 7-11, 2019) 139-150, 2019.  Type: Proceedings

Computers are becoming more and more powerful, and the structure of modern parallel computers is simultaneously becoming more and more complicated. Therefore, it is not a very easy task to tune an already existing computer program to e...

Oct 15 2019
  Exploring ODEs
Trefethen L., Birkisson A., Driscoll T., SIAM-Society for Industrial and Applied Mathematics, Philadelphia, PA, 2017. 343 pp.  Type: Book (978-1-611975-15-4)

Right from the introduction it is clear that Exploring ODEs has a strong pedagogical and practical aim. The authors have created an easy-to-remember word, FLASHI. Depending on which letters are capitalized (for example, FlaSHi, ...

Jan 10 2019
  A computational global tangential Krylov subspace method for model reduction of large-scale MIMO dynamical systems
Bentbib A., Jbilou K., Kaouane Y. Journal of Scientific Computing 75(3): 1614-1632, 2018.  Type: Article

The authors use a very sophisticated tool to solve a very old problem of model order reduction. They compare the performance of their result with several benchmark datasets of high academic interest. As referenced in the paper, researc...

Oct 22 2018
  High-order accurate adaptive kernel compression time-stepping schemes for fractional differential equations
Baffet D., Hesthaven J. Journal of Scientific Computing 72(3): 1169-1195, 2017.  Type: Article

The numerical solution of differential equations of fractional order is a notoriously difficult and complex matter, mainly due to the nonlocality of the operators and the nonsmoothness of the exact solutions. The former leads to a very...

Jan 30 2018
  Boolean differential calculus
Steinbach B., Posthoff C., Morgan & Claypool Publishers, San Rafael, CA, 2017. 216 pp.  Type: Book (978-1-627059-22-0)

Boolean algebra is the study and use of system representations where each quantity has only two possible values. Because they represent many real-world variables, especially in computing machinery, Boolean systems are widely used but a...

Jan 18 2018
  Uncertain differential equations
Yao K., Springer International Publishing, New York, NY, 2016. 158 pp.  Type: Book (978-3-662527-27-6)

Yao begins his book by stating that “uncertain differential equations” are a concept proposed by Liu in 2008. It appears, however, that what he calls uncertain differential equations are also known as stochastic dif...

Jun 28 2017
  Ordinary differential equations and linear algebra: a systems approach
Kapitula T., SIAM, Philadelphia, PA, 2015. 312 pp.  Type: Book (978-1-611974-08-9)

When I was an undergraduate, the differential equations class had a poor reputation. It was said to be difficult, with lots to learn, grinding homework, and really awful exams. It was certainly so for me, but then over the years, with ...

Jun 6 2016
   Uniformly convergent hybrid schemes for solutions and derivatives in quasilinear singularly perturbed BVPs
Zheng Q., Li X., Gao Y. Applied Numerical Mathematics 91(C): 46-59, 2015.  Type: Article

A singularly perturbed boundary-value problem is a boundary-value problem that contains a small parameter whose value cannot be approximated by setting to zero. The one-dimensional singularly perturbed quasilinear convection-diffusion ...

Jul 27 2015
 
 
 
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