Ralph A. Willoughby

Publications

1.3K

Citations

H-Index

1967

Active since

Affiliations

IBM Research - Thomas J. Watson Research Center(Current)

Ralph A. Willoughby is an author at IBM Research - Thomas J. Watson Research Center specializing in numerical analysis, engineering, and inverse problems.

Top concepts

EngineeringNumerical AnalysisInverse ProblemsSpectral TheoryApproximation TheoryComputer ScienceComputer EngineeringComputational ComplexityMathematical ProgrammingPhysics

Publications per year

1967–1996

Publications

Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations

Werner Liniger, Ralph A. Willoughby · SIAM Journal on Numerical Analysis · 1970 · 251 citations

Numerical Analysis, Method Of Fundamental Solution, Numerical Computation +14

Solutions of Ill-Posed Problems (A. N. Tikhonov and V. Y. Arsenin)

Ralph A. Willoughby · SIAM Review · 1979 · 195 citations

Numerical Analysis, Active Subscription, Engineering +22

Computing eigenvalues of very large symmetric matrices—An implementation of a Lanczos algorithm with no reorthogonalization

Jane Cullum, Ralph A. Willoughby · Journal of Computational Physics · 1981 · 164 citations

Numerical Analysis, Spectral Theory, Lanczos Algorithm +6

Symbolic Generation of an Optimal Crout Algorithm for Sparse Systems of Linear Equations

Fred G. Gustavson, Werner Liniger, Ralph A. Willoughby · Journal of the ACM · 1970 · 138 citations · Full text

On the numerical integration of a symmetric system of difference-differential equations of neutral type

Robert K. Brayton, Ralph A. Willoughby · Journal of Mathematical Analysis and Applications · 1967 · 115 citations

Numerical Analysis, Numerical Integration, Neutral Type +6

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