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  Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Integral Equations (G.1.9)  
 
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  1-10 of 26 Reviews about "Integral Equations (G.1.9)": Date Reviewed
  Simulating rigid body fracture with surface meshes
Zhu Y., Bridson R., Greif C. ACM Transactions on Graphics (TOG) 34(4): 1-11, 2015.  Type: Article

Simulation of rigid body fracturing has been a hot research topic in computer graphics and applied sciences, such as collision detection and the simulation of explosions. Many methods have been proposed and applied to rigid body fractu...

Feb 16 2016
  Numerical computation of derivatives in systems of delay differential equations
Lenz S., Schlöder J., Bock H. Mathematics and Computers in Simulation 96124-156, 2014.  Type: Article

An extensive study for solving the initial value problem for systems of delay differential equations (DDE-IVPs) of general parametric type is presented in this paper. In particular, the authors contribute to the determination and calcu...

Mar 6 2015
  On one integral Volterra model of developing dynamical systems
Markova E., Sidorov D. Automation and Remote Control 75(3): 413-421, 2014.  Type: Article

Volterra integral equations of the first kind arise naturally in the description of problems in electrical engineering, the modeling of dynamic impulse systems, nonlinear dynamic systems identification, and of many phenomena in the app...

Oct 15 2014
  Around the numeric-symbolic computation of differential Galois groups
van der Hoeven J. Journal of Symbolic Computation 42(1-2): 236-264, 2007.  Type: Article

van der Hoeven presents a numeric-symbolic algorithm for the computation of the closed algebraic subgroup generated by a finite number of invertible matrices, and which yields an algorithm for the computation of differential Galois gro...

Aug 9 2007
  Projection methods and condition numbers in uniform norm for Fredholm and Cauchy singular integral equations
Bonis M., Mastroianni G. SIAM Journal on Numerical Analysis 44(4): 1351-1374, 2006.  Type: Article

The projection method is a well-known approach to numerically solving singular Fredholm integral equations of the second kind. The projection spaces can be either piecewise polynomials or globally smooth functions, typically eigenfunct...

Jul 27 2007
  Selection of generalized orthonormal bases for second-order Volterra filters
Kibangou A., Favier G., Hassani M. Signal Processing 85(12): 2371-2385, 2005.  Type: Article

To approximate any time-invariant (nonlinear) system with fading memory, one can use a Volterra series. Volterra series describe the output of a nonlinear system as the sum of the responses of first, second, and higher order operators....

Oct 5 2006
  Low-rank approximation of integral operators by interpolation
Börm S., Grasedyck L. Computing 72(3-4): 325-332, 2004.  Type: Article

The numerical treatment of Fredholm integral equations is an important topic. One general approach is to approximate the integral equation with a linear system of equations that generally has a dense and large matrix. This provides a f...

Dec 16 2005
  Volterra integral and differential equations (2nd ed.) (Mathematics in Science and Engineering)
Burton T., Elsevier Science Inc., New York, NY, 2005. 368 pp.  Type: Book (9780444517869)

When I read the title of this book, I expected it to be a comprehensive treatment of the topic. After reading the first few pages, I found out that this was not what the author had in mind. Actually, the scope of the book is limited to...

Oct 24 2005
  Numerical stability analysis of steady state solutions of integral equations with distributed delays
Luzyanina T., Roose D., Engelborghs K. Applied Numerical Mathematics 50(1): 75-92, 2004.  Type: Article

The transform is a delay integral equation (DIE), where y ∈ ℜ, a ∈ ℜ, and K(&xgr;) &...

Oct 6 2004
  High-order collocation and quadrature methods for some logarithmic kernel integral equations on open arcs
Domínguez V. Journal of Computational and Applied Mathematics 161(1): 145-159, 2003.  Type: Article

This paper describes a numerical method for the solution of the Laplace and the Helmholtz equations in the exterior of a smooth open arc in , which is based on layer potentials. It is well known that with a cosine change of variable, t...

Feb 12 2004
 
 
 
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