Concepedia

Solving partial differential equations by collocation using radial basis functions

C. Franke, Robert Schaback

Applied Mathematics and Computation · 1998 · 409 citations · 13 references

Concepts

Natural SciencesComputational EngineeringPhysicsComputational MechanicsDifferential EquationsFluid DynamicsBoundary ConditionsFinite Element DiscretizationNumerical Methods For Differential EquationsPartial Differential EquationsSystems Of Differential EquationsBasis FunctionsNonlinear Partial Differential EquationsNumerical Analysis Of Partial Differential EquationsNumerical Solutions Of Partial Differential EquationsPartial Differential Equation Solvers

References

13

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

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

Error estimates and condition numbers for radial basis function interpolation

Robert Schaback · Advances in Computational Mathematics · 1995 · 661 citations · Full text

Computing, Computational Engineering, Computational Geometry +11

A new approach to free vibration analysis using boundary elements

Dario Nardini, C. A. Brebbia · Applied Mathematical Modelling · 1983 · 648 citations

Engineering, Mechanical Engineering, Physics +16

Boundary element methods on engineering

Advances in Engineering Software (1978) · 1984 · 563 citations

Engineering, Computational Engineering, Computational Mechanics +10