Titlebook: Symbolic Algebraic Methods and Verification Methods; Götz Alefeld,Jiří Rohn,Tetsuro Yamamoto Conference proceedings 2001 Springer-Verlag W

Defiance

Rewriting, Induction and Decision Procedures: A Case Study of Presburger Arithmetic, one would hope. A major reason is perhaps that these tools are often found difficult to use. The learning curve for a typical theorem prover is quite high; it takes a great deal of effort by typical users to effectively use such a tool for their application domain. Even then, considerable resources

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充满人

On the Shape of the Fixed Points of [f]([x]) = [A] [x] + ,thods - particularly when . is a large sparse matrix. Probably the most elementary iterative method can be derived from the socalled Richardson splitting . = . - . of ., where . is the identity matrix and . := . - .. This splitting induces the equivalent fixed point formulation . = . + . of (1) whic

amenity

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CANT

Geometric Series Bounds for the Local Errors of Taylor Methods for Linear ,-th Order ODEs,8, 1992) developed a comprehensive software package of an advanced interval Taylor method, which he applied successfully to many linear and nonlinear problems. But, as Lohner (1988) remarked, the step size ofhis method is limited by the step size for the explicit Euler method. Lohner (1995), Corliss

MEET

Modifications of the Oettli-Prager Theorem with Application to the Eigenvalue Problem,e related to it: When dealing with systems of linear equations.(ℝ. set of real . x . matrices, ℝ. set of real vectors with . components) there sometimes occurs the problem of varying the input data .within certain tolerances and looking for the set . of the resulting solutions .*.

否认

Rewriting, Induction and Decision Procedures: A Case Study of Presburger Arithmetic, high; it takes a great deal of effort by typical users to effectively use such a tool for their application domain. Even then, considerable resources must be expended by building a large knowledge base and library of useful properties in a representation suitable for the prover, to bring it to a level so that it can start playing a useful role.

极肥胖

Numerical Verification Method for Solutions of Nonlinear Hyperbolic Equations,using .. finite element and explicit error estimates, and Plum’s method (e.g. Plum 1994) using ..-class approximate solution with high accuracy and an exact eigenvalue enclosure for a linearized operator. Almost all papers by these authors deal with elliptic equations.

Ventilator

978-3-211-83593-7Springer-Verlag Wien 2001