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  Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Partial Differential Equations (G.1.8) > Parabolic Equations (G.1.8...)  
 
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  1-6 of 6 Reviews about "Parabolic Equations (G.1.8...)": Date Reviewed
  A new linearly implicit trapezoidal formula for nonlinear parabolic equations
Chawla M. Neural, Parallel & Scientific Computations 11(4): 475-484, 2003.  Type: Article

The linearly implicit Lintrap scheme discussed in this paper is based on the trapezoidal formula. It has been used extensively in many applications. Lintrap is first order for nonautonomous problems, and its local truncation error does...

May 19 2004
  Traveling-wave solutions of convection-diffusion systems by center manifold reduction
Schecter S. Nonlinear Analysis: Theory, Methods & Applications 49(1): 35-59, 2002.  Type: Article

Solutions to a set of initial value problems that arise in deformation of elastic-plastic solids, two phase flow, and other physical situations are discussed in this mathematical research paper. Even if the functions (convection and di...

May 28 2003
  A domain splitting algorithm for parabolic problems
Blum H., Lisky S., Rannacher R. Computing 49(1): 11-23, 1992.  Type: Article

An interesting algorithm is described for the parallel solution of the two-dimensional model problem (∂ u&slash; ∂ t ) - a δ u = f in &OHgr; × ( 0 , T ...

Nov 1 1993
  Optimal control of nonsmooth distributed parameter systems
Tiba D., Springer-Verlag New York, Inc., New York, NY, 1990.  Type: Book (9780387535241)

The main purpose of this book is to discuss distributed control problems governed by nonlinear parabolic or hyperbolic partial differential equations with nondifferentiable terms. The intended audience is researchers in optimal control...

Mar 1 1992
  Finite difference schemes on grids with local refinement in time and space for parabolic problems. I. Derivation, stability, and error analysis
Ewing R., Lazarov R., Vassilevski P. Computing 45(3): 193-215, 1990.  Type: Article

Partial differential equations of parabolic type are considered. The authors assume that the space domain is discretized by using cell-centered grids (this approach is common in many fields of science and engineering). They also assume...

Aug 1 1991
  Numerical simulation of immiscible flow in porous media based on combining the method of characteristics with mixed finite element procedures
Jim J., Yirang Y.  Numerical simulation in oil recovery (, Minneapolis, MN, Dec 1-12, 1986) 1311986.  Type: Proceedings

This paper discusses two possible numerical schemes for the solution of two-phase, incompressible, immiscible flow in a porous medium. The emphasis of the paper is mathematical and the authors’ aim is to prove convergence of ...

Mar 1 1990
 
 
 
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