Anwendung der Padé-Approximation in der Kernphysik / Application of the Padé Approximation in Nuclear Physics

On Padé Approximation of Some Practical Functions

Anwendung der Kriging-Approximation zur Anfertigung der Regenfallkarten für Polen

In der Arbeit wird die Anwendung von Kriging-Algorithmen zur Einschätzung der Werte jährlicher Regenfälle in ausgewählten Punkten eines Bereiches zur Anfertigung genauer Regenfallkarten dieses Bereiches besprochen. Das Verfahren der Kriging-Approximation besteht aus der Lösung algebraischer Gleichungen, aus mathematischer Modellierung und statischer Optimierung. Es werden ein Approximationsalgo...

Robust Padé Approximation via SVD

Padé approximation is considered from the point of view of robust methods of numerical linear algebra, in particular the singular value decomposition. This leads to an algorithm for practical computation that bypasses most problems of solution of nearly-singular systems and spurious pole-zero pairs caused by rounding errors; a Matlab code is provided. The success of this algorithm suggests that...

on padé approximation of some practical functions

0

Time Stepping Via One-Dimensional Padé Approximation

The numerical solution of time-dependent ordinary and partial differential equations presents a number of well known difficulties—including, possibly, severe restrictions on time-step sizes for stability in explicit procedures, as well as need for solution of challenging, generally nonlinear systems of equations in implicit schemes. In this note we introduce a novel class of explicit methods ba...