Computing Reviews
Today's Issue Hot Topics Search Browse Recommended My Account Log In
Browse by topic Browse by titles Authors Reviewers Browse by issue Browse Help
Search
  Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Ordinary Differential Equations (G.1.7) > Initial Value Problems (G.1.7...)  
 
Options:
 
  1-10 of 22 Reviews about "Initial Value Problems (G.1.7...)": Date Reviewed
  Resonant confluence of singular points and Stokes phenomena
Glutsyuk A. Journal of Dynamical and Control Systems 10(2): 253-302, 2004.  Type: Article

The finest traditions of Russian applied mathematics are represented in this paper. It is also very formal; not only are the definitions numbered 1.1, 1.2, and so on, like the theorems, but the remarks and assertions are serially numbe...

Dec 8 2004
  Digital filters in adaptive time-stepping
Söderlind G. ACM Transactions on Mathematical Software 29(1): 1-26, 2003.  Type: Article

Traditional codes for initial-value problems adapt to changing conditions by varying the stepsize as the integration progresses. The aim is to keep the local truncation error close to a user-supplied tolerance. Since the revolutionary ...

Oct 1 2003
  Stiffness detection and estimation of dominant spectrum with explicit Runge-Kutta methods
Ekeland K., Owren B., Øines E. ACM Transactions on Mathematical Software 24(4): 368-382, 1998.  Type: Article

The authors attempt to recognize when an initial-value problem for a system of ordinary differential equations is stiff by approximating the dominant eigenvalues of local  Jacobians.  They use Arnoldi’s meth...

Apr 1 1999
  Symplectic integration schemes for the ABC flow
Tippett M. Computing 57(1): 63-75, 1996.  Type: Article

The long-time integration of systems of differential equations by many numerical integrators is not reliable because of the buildup of error, which can lead to physically incorrect solutions. Symplectic integrators, when they can be co...

Apr 1 1997
  Parallel and sequential methods for ordinary differential equations
Burrage K., Clarendon Press, New York, NY, 1995.  Type: Book (9780198534327)

This excellent reference book is the first to attempt to survey the full range of methods for the parallel solution of ordinary differential equations (ODEs). The main emphasis is on the initial value problem. Conventional methods for ...

Dec 1 1996
  Solving ordinary differential equations I (2nd revised. ed.)
Hairer E., Nørsett S., Wanner G., Springer-Verlag New York, Inc., New York, NY, 1993.  Type: Book (9780387566702)

Together with its companion volume [1], this book constitutes the most comprehensive and definitive treatise on the numerical solution of ordinary differential equation initial value problems currently available. The main competitor is...

Feb 1 1994
  An MEBDF code for stiff initial value problems
Cash J., Considine S. ACM Transactions on Mathematical Software 18(2): 142-155, 1992.  Type: Article

The most popular methods for the solution of stiff initial value problems for ordinary differential equations are the backward differentiation formulas (BDFs). Because the stability of these formulas deteriorates rapidly as the order i...

Nov 1 1993
  Numerical methods for ordinary differential systems
Lambert J., John Wiley & Sons, Inc., New York, NY, 1991.  Type: Book (9780471929901)

Lambert has written a sequel to a well-received earlier book on the same general subject [1]. Comparison of the two books illustrates the dramatic evolution of the field over the past two decades: the overlap is minimal. The attractive...

Oct 1 1993
  Detecting and locating a singular point in the numerical solution of IVPs for ODEs
Suhartanto H., Enright W. Computing 48(2): 161-175, 1992.  Type: Article

Most numerical treatments of initial value problems for ordinary differential equations with singularities are specially  designed  techniques using some a priori knowledge of the singularity. A variety of such spe...

May 1 1993
  Reliable solution of special event location problems for ODEs
Shampine L., Gladwell I., Brankin R. ACM Transactions on Mathematical Software 17(1): 11-25, 1991.  Type: Article

Most codes for the initial-value problem (IVP) y′ = f ( x , y ) , a ≤ x ≤ b , y ( a ) = y a , y ∈ &RR; n provide approximations for y ( x )
May 1 1992
 
 
 
Display per page
Send Your Comments
Contact Us
Reproduction in whole or in part without permission is prohibited.   Copyright 1999-2024 ThinkLoud®
Terms of Use
| Privacy Policy