Concepedia

Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations

E.J. Kansa, Y.C. Hon

Computers & Mathematics with Applications · 2000 · 448 citations · 25 references

Concepts

Natural SciencesMathematicsDifferential EquationsBoundary ConditionsBoundary-value ProblemsPartial Differential EquationsWeak FormulationElliptic Partial Differential EquationsNonlinear Partial Differential EquationsRadial Basis Function KernelsRadial Basis Function Shape Functions

References

25

Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree

Holger Wendland · Advances in Computational Mathematics · 1995 · 3K citations

Computing, Computer Science, Computational Geometry +3

Multiquadric equations of topography and other irregular surfaces

Rolland L. Hardy · Journal of Geophysical Research Atmospheres · 1971 · 2.7K citations

Architecture, Geoinformatics, Computational Geometry +14

Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—II solutions to parabolic, hyperbolic and elliptic partial differential equations

E.J. Kansa · Computers & Mathematics with Applications · 1990 · 2K citations

Natural Sciences, Computational Engineering, Mathematics +16

Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—I surface approximations and partial derivative estimates

E.J. Kansa · Computers & Mathematics with Applications · 1990 · 1.9K citations

Natural Sciences, Computational Engineering, Physics +12

Scattered data interpolation: tests of some methods

Richard Franke · Mathematics of Computation · 1982 · 1.9K citations · Full text

Computing, Visualization, 3D Modeling +10