Martin H. Schultz
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Martin H. Schultzcomputer-science Degrees
Computer Science
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#5642
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Numerical Analysis
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#27
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Martin H. Schultzmathematics Degrees
Mathematics
#6090
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#8495
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Measure Theory
#1118
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#1432
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Computer Science Mathematics
Martin H. Schultz's Degrees
- PhD Applied Mathematics University of Colorado Boulder
- Masters Applied Mathematics University of Colorado Boulder
- Bachelors Mathematics University of Colorado Boulder
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Why Is Martin H. Schultz Influential?
(Suggest an Edit or Addition)Martin H. Schultz'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
- GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems (1986) (10994)
- Topological properties of hypercubes (1988) (1327)
- Variational Iterative Methods for Nonsymmetric Systems of Linear Equations (1983) (959)
- Gmres: a Generalized Minimum Residual Algorithm for Solving (385)
- Yale sparse matrix package I: The symmetric codes (1982) (285)
- Numerical methods of high-order accuracy for nonlinear boundary value Problems (1968) (267)
- Piecewise Hermite interpolation in one and two variables with applications to partial differential equations (1968) (232)
- Conjugate gradient-like algorithms for solving nonsymmetric linear systems (1985) (206)
- First- and Second-Order Diffusive Methods for Rapid, Coarse, Distributed Load Balancing (1996) (175)
- Data communication in parallel architectures (1989) (174)
- L-Splines (1967) (139)
- Data Communication in Hypercubes (1989) (137)
- Numerical methods of high-order accuracy for nonlinear boundary value problems (1969) (97)
- Algorithms and Data Structures for Sparse Symmetric Gaussian Elimination (1981) (88)
- Preconditioning by fast direct methods for nonself-adjoint nonseparable elliptic equations (1986) (74)
- Alternating direction methods on multiprocessors (1987) (71)
- Elliptic problem solvers (1981) (67)
- L∞-Multivariate approximation theory (1969) (65)
- Numerical methods of high-order accuracy for nonlinear boundary value problems (1968) (63)
- Complexity of dense linear system solution on a multiprocessor ring. Research report (1986) (59)
- Numerical Ocean Acoustic Propagation in Three Dimensions (1995) (46)
- Parallel Implementations of Preconditioned Conjugate Gradient Methods. (1985) (44)
- L^2 Error Bounds for the Rayleigh--Ritz--Galerkin Method (1971) (43)
- Applications of an Element Model for Gaussian Elimination (1976) (39)
- An experimental study of methods for parallel preconditioned Krylov methods (1989) (39)
- Error bounds for polynomial spline interpolation (1970) (36)
- First and second order diffusive methods for rapid, coarse, distributed load balancing (extended abstract) (1996) (36)
- $L^\infty $-Multivariate Approximation Theory (1969) (35)
- Numerical Algorithms for Modern Parallel Computer Architectures (1988) (32)
- The (New) Yale Sparse Matrix Package (1984) (32)
- Rayleigh–Ritz–Galerkin Methods for Multidimensional Problems (1969) (29)
- The effect of quadrature errors in the numerical solution of boundary value problems by variational techniques (1969) (29)
- Parallel Direct Methods for Solving Banded Linear Systems. (1987) (26)
- Efficient parallel programming with Linda (1992) (22)
- Optimal Block Diagonal Scaling of Block 2-Cyclic Matrices. (1982) (21)
- Three-Dimensional Effects (1995) (21)
- SOLVING ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS ON HYPERCUBES. (1986) (20)
- An Efficient Method for Solving the Three-Dimensional Wide Angle Wave Equation (1986) (20)
- The Modified Conjugate Residual Method for Partial Differential Equations. (1977) (20)
- Software for Sparse Gaussian Elimination with Limited Core Storage. (1978) (20)
- Approximation Theory of Multivariate Spline Functions in Sobolev Spaces (1969) (18)
- Designing Optimum One-Level Carry-Skip Adders (1993) (17)
- ON SOLVING ELLIPTIC EQUATIONS TO MODERATE ACCURACY (1980) (15)
- Solving elliptic partial differential equations on the hypercube multiprocessor (1987) (14)
- Elliptic spline functions and the Rayleigh-Ritz-Galerkin method (1970) (12)
- The Computational Complexity of Elliptic Partial Differential Equations (1972) (12)
- Application of Sparse Matrix Techniques to Reservoir Simulation. (1973) (11)
- A Rigorous Analysis of Time Domain Parallelism (1995) (11)
- Multivariate L-spline interpolation (1969) (9)
- COMPUTATIONAL ASPECTS OF THE FINITE ELEMENT METHOD (1972) (9)
- Solving Approximations To The Convection Diffusion Equation (1979) (8)
- Solving Schroedinger's Equation on the Intel iPSC by the Alternating Direction Method. (1987) (8)
- Parameter Choices for ADI-like Methods on Parallel Computers (1998) (8)
- SOLVING ELLIPTIC PROBLEMS ON AN ARRAY PROCESSOR SYSTEM (1984) (7)
- Error bounds for the Rayleigh-Ritz-Galerkin method (1969) (7)
- Error bounds for a bivariate interpolation scheme (1973) (7)
- "Transpose Free" Alternating Direction Smoothers for Serial and Parallel Multigrid Methods (1997) (6)
- A numerical marching scheme to compute scattering in the ocean (1992) (6)
- Multiple Array Processors for Ocean Acoustic Problems. (1985) (6)
- for Solving Linear Systems (1992) (6)
- A generalization of the Lax equivalence theorem (1966) (6)
- Minimal Storage Band Elimination. (1977) (6)
- The application of sparse matrix methods to the numerical solution of nonlinear elliptic partial differential equations (1974) (6)
- The Galerkin method for nonselfadjoint differential equations (1969) (6)
- A finite element solution of a reduced Fokker-Planck equation (1981) (6)
- ON SOME TRENDS IN ELLIPTIC PROBLEM SOLVERS (1981) (4)
- Bounds on Block Diagonal Preconditioning (1993) (4)
- Preconditioned Krylov Solvers and Methods for Runtime Loop Parallelization (1988) (4)
- Quadrature-Galerkin approximations to solutions of elliptic differential equations (1972) (3)
- Domain Decomposition Survey 143 Methods for Partial Diierential Equationsddm Preconditioner for 4th Order Problems by Using B- Spline Nite Element Method', in Fourth Int. Symp. on Domain Decomposition Methods for Partial Diierential Equationsiterative Substructuring Methods: Algorithms and Theory fo (1994) (3)
- Supercomputers in computational ocean acoustics (1989) (3)
- The condition number of a class of Rayleigh-Ritz-Galerkin matrices (1970) (3)
- $L^2 $-Approximation Theory of Even Order Multivariate Splines (2006) (3)
- A parallel software package for solving linear systems (1992) (3)
- Parallel Multigrid with ADI-like Smoothers in Two Dimensions (1997) (3)
- Quasi-linear elliptic boundary value problems (1968) (3)
- Alternating direction methods on multiprocessors. Research report (1985) (3)
- Solving the Poisson Equation on the FPS-164 (Floating Point System-164). (1983) (2)
- Alternating Direction Methods on Multiprocessors: An Extended Abstract. (1985) (2)
- Data communication in parallel architectures. Research report (1986) (2)
- Complexity and Differential Equations (1976) (2)
- Theoretical and Computational Acoustics ’95 (1996) (2)
- 28] Van Der Vorst, H. A.: Iterative Solution Methods for Certain Sparse Linear Systems with a Non-symmetric Matrix Arising from Pde-problems (2)
- Convergence of Krylov Methods for Sums of Two Operators 13 (1995) (2)
- TEMPORAL DOMAIN PARALLELISM : DOES IT WORK ? (1993) (2)
- Discrete Tchebycheff Approximation for Multivariate Splines (1972) (2)
- Basic Mathematical Model Developments (1995) (2)
- Faster Schedules for Diiusive Load Balancing via Over{relaxation (*****draft. Do Not Distribute*****) (1995) (1)
- Analysis of Numerical Methods (1968) (1)
- Portable parallel Level-3 BLAS in Linda (1992) (1)
- A characterization of mapping unstructured grids onto structured grids and using multigrid as a preconditioner (1997) (1)
- Experimental study of methods for parallel preconditioned Krylov methods. Research report (1988) (1)
- Numerical methods of high-order accuracy for nonlinear boundary value problems (1968) (1)
- Cauchy Problem in S (1970) (1)
- Error bounds for Galerkin’s method for monotone operator equations (1972) (1)
- A High Performance Bulk Memory System. (1984) (1)
- The Computer Model — FOR3D (1995) (1)
- Numerical Accuracy Test: An Analytic Solution (1995) (0)
- Error bounds for bivariate piecewise hermite interpolation (1967) (0)
- BIT 1997 A CHARACTERIZATION OF MAPPINGUNSTRUCTURED GRIDS ONTO STRUCTUREDGRIDS AND USING MULTIGRID AS APRECONDITIONERCRAIG (1997) (0)
- Algorithms and applications (1988) (0)
- Listener performance under variations in signal content (1993) (0)
- flflfl . MEMM IEM (0)
- 46. G. Wittum. Multi-grid Methods for Stokes and Navier-stokes Equations with Transform- Ing Smoothers: Algorithms and Numerical Results. Gmres: a Generalized Minimal Residual Algorithm for Solving Non-symmetric Linear Systems.grid and Iccg for Problems with Interfaces. In (1995) (0)
- Description of Examples 5 Numerical Experiments (1994) (0)
- A new model for marching computation of ocean acoustic backscattering (1990) (0)
- The effect of quadrature errors in the numerical solution of boundary value problems by variational techniques (1969) (0)
- A Pseudopartial Differential Equation (1995) (0)
- Fast Algorithms for Parallel Architectures (1990) (0)
- A priori bounds for solutions of quasi-linear elliptic differential equations (1968) (0)
- The LCAP System: An Example of a Multicomputer (1988) (0)
- High performance bulk memory system. Research report (1984) (0)
- CFD (computational fluid dynamics) research for mini-supercomputers: a Yale/UTRC program. Final report, 15 February 1987-14 October 1988 (1989) (0)
- Development of a three‐dimensional marching technique for backscattering (1992) (0)
- Final Report for Contract F49620-77-C-0037. (1981) (0)
- Multigrid on unstructured grids using an auxiliary set of structured grids (1996) (0)
- A comparison of two range‐dependent parabolic equation models: IFD and split‐step (1982) (0)
- High Performance Computer Models in Computational Acoustics (1997) (0)
- A ritz method for an optimal control problem (1973) (0)
- Enhancement of the High-Order Wave Equation (1995) (0)
- Application of the Yale sparse matrix technique to the three‐dimensional parabolic wave equation (1983) (0)
- Computing backscattering by a marching procedure. (1991) (0)
- Some Challenges in Massively Parallel Computation (1993) (0)
- Numerical Methods for Two-Point Boundary Value Problems (1968) (0)
- a ) mo a ) IL 0 E ° VERF ' Solving Schr 6 dinger ' s equation on the Intel iPSC by the Alternating Direction Method (0)
- The application of multi‐array processors to underwater acoustics (1984) (0)
- On the stability of discretizations (1966) (0)
- A High-Order Wave Equation (1995) (0)
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