Willard L. Miranker
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American mathematician
Willard L. Miranker's AcademicInfluence.com Rankings
Willard L. Mirankermathematics Degrees
Mathematics
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#5520
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#1370
USA Rank
Measure Theory
#2352
World Rank
#2813
Historical Rank
#666
USA Rank
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Mathematics
Willard L. Miranker's Degrees
- PhD Mathematics Princeton University
- Bachelors Mathematics Princeton University
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Why Is Willard L. Miranker Influential?
(Suggest an Edit or Addition)According to Wikipedia, Willard L. Miranker was an American mathematician and computer scientist, known for his contributions to applied mathematics and numerical mathematics. Raised in Brooklyn, New York, he earned Bachelor of Arts , Master of Science and Ph.D. from the Courant Institute at New York University, the latter on the thesis The Asymptotic Theory of Solutions of U + U = 0 advised by Joseph Keller. He then worked for the mathematics department at Bell Labs before joining IBM Research . After retirement from IBM, he joined the computer science faculty at Yale University as research faculty.
Willard L. Miranker's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Computer arithmetic in theory and practice (1981) (470)
- A new approach to scientific computation (1983) (207)
- Parallel methods for the numerical integration of ordinary differential equations (1967) (173)
- Simulated Apoptosis/Neurogenesis Regulates Learning and Memory Capabilities of Adaptive Neural Networks (2004) (157)
- The arithmetic of the digital computer: A new approach (1986) (151)
- The Wave Equation in a Medium in Motion (1960) (150)
- Dynamics of the Josephson junction (1978) (124)
- Numerical Methods for Stiff Equations and Singular Perturbation Problems (1980) (98)
- A Survey of Parallelism in Numerical Analysis (1971) (95)
- Acceleration by aggregation of successive approximation methods (1982) (87)
- A well posed problem for the backward heat equation (1961) (76)
- Multitime Methods for Systems of Difference Equations (1977) (76)
- Methods of aggregation (1980) (71)
- A stability theory for nonlinear mixed initial boundary value problems (1964) (53)
- Self-Validating Numerics for Function Space Problems (1984) (46)
- A Nongradient and Parallel Algorithm for Unconstrained Minimization (1970) (39)
- Parallel minimax search for a maximum (1968) (39)
- Numerical Methods for Stiff Equations (1980) (34)
- Constructive interference in parallel algorithms (1988) (33)
- A numerical solution of a model for a superconductor field problem (1979) (30)
- Pivot selection: Dimension reduction for distance-based indexing (2012) (29)
- A free boundary value problem for the heat equation (1958) (28)
- Ultra-arithmetic I: Function data types (1982) (27)
- Apoptosis, neurogenesis, and information content in Hebbian networks (2005) (25)
- Periodic Solutions of the Wave Equation with a Nonlinear Interface Condition (1961) (25)
- Multiscale optimization in neural nets (1991) (24)
- Aggregation/Disaggregation for Eigenvalue Problems (1984) (22)
- Spacetime representations of computational structures (1984) (22)
- Parallel methods for approximating the root of a function (1969) (21)
- Global analysis of magnetic domains (1979) (19)
- Ultra-arithmetic II: intervals of polynomials (1982) (19)
- Systolic Super Summation (1988) (18)
- Numerical methods of boundary layer type for stiff systems of differential equations (1973) (18)
- An Averaging Method for the Stiff Highly Oscillatory Problem (1976) (17)
- Self-Validating Numerics for Function Space Problems: Computation with Guarantees for Differential and Integral Equations (1984) (17)
- Differential equations having rapidly changing solutions: Analytic methods for weakly nonlinear systems (1976) (17)
- Parallel methods for solving equations (1978) (16)
- Difference schemes with best possible truncation error (1971) (16)
- The reduced wave equation in a medium with a variable index of refraction (1957) (15)
- Accurate Scientific Computations (1986) (14)
- Dichotomy and conjugate gradients in the stiff initial value problem (1981) (13)
- High Order Search Methods for Finding Roots (1975) (13)
- Validating computation in a function space (1988) (12)
- Fast Hybrid Solution of Algebraic Systems (1990) (12)
- New techniques for fast hybrid solutions of systems of equations (1989) (11)
- A neural network wave formalism (2006) (11)
- Optimal Sequential and Parallel Seach for Finding a Root (1977) (11)
- Dimension reduction for distance-based indexing (2010) (11)
- Numerical evaluation of Wiener integrals (1967) (10)
- PASCAL-SC: A PASCAL for Contemporary Scientific Computation (1981) (10)
- The computational theory of stiff differential equations (1975) (9)
- Neural organization of the locomotive oscillator (1993) (9)
- Semianalytic numerical studies of turning points arising in stiff boundary value problems (1974) (9)
- The Stefan Problem for a Nonlinear Equation (1960) (8)
- Neural Network Theory and Applications 2006 (2006) (8)
- Approximate controlability for distributed linear systems (1965) (7)
- The method of envelopes (1978) (7)
- Parametric theory of Δu+k2u=0 (1957) (7)
- Asymptotically optimal approximation in fractional Sobolev spaces and the numerical solution of differential equations (1974) (7)
- Uniqueness and Representation Theorems for Solutions of \Delta u + k^2 u = 0 in Infinite Domains (1957) (7)
- Numerical methods for stiff systems of differential equations related with transistors, tunnel diodes, etc (1973) (6)
- Optimal Difference Schemes for Linear Initial Value Problems (1973) (6)
- Ultra-Arithmetic: The Digital Computer Set in Function Space (1983) (6)
- Singular Perturbation Eigenvalues by a Method of Undetermined Coefficients (1963) (6)
- Dimensionality Reduction via Self-Organizing Feature Maps for Collaborative Filtering (2007) (6)
- Galerkin Approximations and the Optimization of Difference Schemes for Boundary Value Problems (1971) (6)
- The Feynman Operator Calculus (1966) (6)
- The Occurrence of Limit Cycles in the Equations of Tunnel Diode Circuit (1962) (6)
- Mathematical foundations of consciousness (2008) (6)
- Matricial Difference Schemes for Integrating Stiff Systems of Ordinary Differential Equations (1971) (5)
- Residual Correction and Validation in Functoids (1984) (5)
- Synergy in parallel algorithms (1987) (5)
- Case Studies for Augmented Floating-Point (1985) (5)
- Systolic Super Summation with Reduced Hardware (1992) (5)
- Singular perturbation analyses of the differential equations of a tunnel diode circuit (1962) (5)
- An Extrapolation Method for the Numerical Solution of Singular Perturbation Problems (1983) (5)
- Boundary‐Layer Behavior in the Superconductor Transition Problem (1961) (4)
- Enveloping an iteration scheme (1972) (4)
- Consciousness is an information state (2000) (4)
- Floating-Point Systems for Theorem Proving (1991) (4)
- Beyond massive parallelism: numerical computation using associative tables (1990) (4)
- Cortical memory dynamics (1998) (4)
- Computation by Extrapolation of Solutions of Singular Perturbation Problems (1981) (3)
- A new approach to scientific computation : [proc. of the Symposium on a New Approach to Scientific Computation ... held at the IBM Thomas J. Watson Research Center, Yorktown Heights, NY, Aug. 3, 1982] (1983) (3)
- Proposal for Arithmetic Specification in FORTRAN 8x (1982) (3)
- Competition and cooperation in neuronal processing (2003) (3)
- Multiscale optimization in neural nets: preliminary report (1990) (3)
- Memes and their themata. (2010) (3)
- Interference Effects in Computation (1997) (3)
- A parallel algorithm for finding the maximum value (1989) (3)
- Hierarchical relaxation (1979) (3)
- A Lagrangian Approach to Fixed Points (1990) (3)
- A Langrangian Formulation of Neural Networks, part II: Clocked Objective Functions and Applications (1998) (2)
- FORTRAN for contemporary numerical computation (1981) (2)
- Modeling the clonal heterogeneity of stem cells (2010) (2)
- Other Singularly Perturbed Problems (1980) (2)
- A cache for an associative memory (1997) (2)
- A free boundary problem for the wave equation (1961) (2)
- The Prisoner's Dilemma and Predator-Prey Coevolution (2002) (1)
- Dynamics of mental activity (2010) (1)
- An application of optimal control theory to equation solving (1976) (1)
- A Neural Network-Based Approach to Modeling the Allocation of Behaviors in Concurrent Schedule, Variable Interval Learning (2008) (1)
- MATRIX PASCAL (1983) (1)
- Constraint-Based Placement and Routing for FPGAs Using Self-Organizing Maps (2008) (1)
- Modeling consciousness as an adaptive phenomenon (2011) (1)
- A Force Field Driven SOM for boundary detection (2010) (1)
- An example of a global shock fitting method (1976) (1)
- Emergence of Language-Specific Phoneme Classifiers in Self-Organized Maps (2007) (1)
- The Interaction of Numerics and Machines / The Interaction of Numerics and Machines (1988) (1)
- Miranker A Quantum State Model of Consciousness (2014) (1)
- Nonlinear difference schemes for linear partial differential equations (1973) (1)
- A TABLE OF THE INTEGRAL /psi/ (x,t) = /1 over 2/$Root$$pi$t /def. int/- infinityinfinity EXP-(x-y)$sup 2$/over 4t//over 1 + y/$sub 2$ dy (1953) (1)
- Introducing Affect into Competitive Game Play (2008) (1)
- CAUSALITY IN ALGORITHMS AND ARCHITECTURES (1988) (1)
- Proc. of the symposium on A new approach to scientific computation (1983) (1)
- Principal Component Analysis for Place Recognition (2008) (1)
- FLOATING-POINT ARITHMETIC (1981) (1)
- The neural network as a renormalizer of information (2008) (1)
- Numerical Inversion of the Laplace Transform. Applications to Biology, Economics, Engineering, and Physics. Richard Bellman, Robert E. Kalaba, and Jo Ann Lockett. Elsevier, New York, 1966. 259 pp., illus. $8.50 (1967) (1)
- The Highly Oscillatory Problem (1980) (1)
- Mathematical Procedure: Numerical Inversion of the Laplace Transform . Applications to Biology, Economics, Engineering, and Physics. Richard Bellman, Robert E. Kalaba, and Jo Ann Lockett. Elsevier, New York, 1966. 259 pp., illus. $8.50. (1967) (0)
- Arithmetic specification in FORTRAN 8X (1984) (0)
- A model of memory dynamics (1996) (0)
- A note comparing the root condition and the resolvent condition (1972) (0)
- Methods of Absolute Stability (1980) (0)
- The L 2 -Maximum Principle for Solutions of Δu + κ 2 u = 0 in Unbounded Domains (1958) (0)
- DEFINITION OF COMPUTER ARITHMETIC (1981) (0)
- Montebello: A Metapopulation Based Model of Carcinogenesis (2010) (0)
- COMMENTS ON PROGRAMMING LANGUAGE (1984) (0)
- The multilevel principle applied to sorting (1990) (0)
- ITERATIVE RESIDUAL CORRECTION (1984) (0)
- A functional relation and an acceleration procedure for calculating the voltage response of josephson junctions (1980) (0)
- RINGOIDS AND VECTOIDS (1981) (0)
- Applications of multi-time methods to pattern recognition and other problems (1977) (0)
- Kernel based principal component for recognizing handwritten numbers (2010) (0)
- Arithmetically improved algorithmic performance (1985) (0)
- ULTRA-ARITHMETIC AND ROUNDINGS (1984) (0)
- Symposium sponsored by IBM Deutschland on Accurate scientific computations (1986) (0)
- A Lagrangian Formulation of Neural Networks I: Theory and Analog Dynamics (1997) (0)
- Emergence ofLanguage-Specific PhonemeClassifiers inSelf-Organized Maps (2007) (0)
- Accurate Scientific Computations, Symposium, Bad Neuenahr, FRG, March 12-14, 1985, Proceedings (1986) (0)
- The Interaction of Numerics and Machines Die (2013) (0)
- Methods of Boundary Layer Type (1980) (0)
- An Investigation Into The Application Of Neural Networks To Gene Classification (2002) (0)
- Proceedings of the Symposium on Accurate Scientific Computations (1985) (0)
- A TABLE OF THE INTEGRAL psi (x,t) = 1/2 $Root$$pi$t/def. int/.-infinity$sup +$ infinitye$sup -$(x$sup -$y)*sup $sup 2$/over/1 + y$sup 2$dy (1954) (0)
- A neural system for the animat (1994) (0)
- IMPLEMENTATION OF FLOATING-POINT ARITHMETIC ON A COMPUTER (1981) (0)
- CIRCUITS ET TRANSISTORS NETWORKS AND SEMICONDUCTORS NUMERICAL METHODS FOR STIFF SYSTEMS OF DIFFERENTIAL EQUATIONS RELATED WITH TRANSISTORS , TUNNEL DIODES (2005) (0)
- Accelerating neural net dynamics by boundary layer methods (1993) (0)
- Willard L. Miranker, 60 years (2005) (0)
- A Langrangian Formulation of Neural Networks, part I: Theory and Analog Dynamics (1998) (0)
- Modified Proposal for Arithmetic Specification According to Guidelines of the X3J3 Meetings in Tulsa and Chapel Hill (1983) (0)
- Interpolation with discontinuous functions: application to calculation of shocks (1975) (0)
- METHODS FOR FUNCTIONAL EQUATIONS (1984) (0)
- A model of pulse generation in the peripheral nervous system (2004) (0)
- Path integral numerical methods for evolution equations (1990) (0)
- APPLICATION AND ILLUSTRATIVE COMPUTATION (1984) (0)
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