Heinz-otto Kreiss

Heinz-otto Kreiss's AcademicInfluence.com Rankings

Heinz-otto Kreiss

Mathematics

#6321

World Rank

#8777

Historical Rank

Applied Mathematics

#209

World Rank

#230

Historical Rank

Measure Theory

#1261

World Rank

#1600

Historical Rank

mathematics Degrees

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Mathematics

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Heinz-otto Kreiss'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

Time-Dependent Problems and Difference Methods (1996) (1245)
Initial boundary value problems for hyperbolic systems (1970) (759)
The analysis and modelling of dilatational terms in compressible turbulence (1989) (725)
Comparison of accurate methods for the integration of hyperbolic equations (1972) (621)
Initial-Boundary Value Problems and the Navier-Stokes Equations (2004) (598)
Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II (1972) (465)
Finite Element and Finite Difference Methods for Hyperbolic Partial Differential Equations (1974) (450)
Methods for the approximate solution of time dependent problems (1973) (372)
Stability theory for difference approximations of mixed initial boundary value problems. I (1968) (241)
Problems with different time scales for partial differential equations (1980) (145)
Supra-convergent schemes on irregular grids (1986) (130)
Stability of the Fourier method (1977) (121)
Difference approximations for boundary and eigenvalue problems for ordinary differential equations (1972) (114)
Boundary Conditions for Time Dependent Problems with an Artificial Boundary (1979) (112)
Difference Approximations for the Second Order Wave Equation (2002) (112)
Stable Difference Approximations for the Elastic Wave Equation in Second Order Formulation (2007) (108)
A Second Order Accurate Embedded Boundary Method for the Wave Equation with Dirichlet Data (2005) (102)
Difference approximations for singular perturbations of systems of ordinary differential equations (1974) (93)
Difference Approximations of the Neumann Problem for the Second Order Wave Equation (2004) (93)
On the stability definition of difference approximations for the initial boundary value problem (1993) (91)
Convergence of the solutions of the compressible to the solutions of the incompressible Navier-Stokes equations (1991) (88)
Convergence to steady state of solutions of Burger's equation (1986) (85)
Problems with Different Time Scales for Ordinary Differential Equations (1979) (83)
Smoothing of initial data and rates of convergence for parabolic difference equations (1970) (77)
Problems with Different Time Scales for Nonlinear Partial Differential Equations (1982) (76)
Initialization of the Primitive Equations by the Bounded Derivative Method (1980) (71)
On difference approximations of the dissipative type for hyperbolic differential equations (1964) (69)
Smallest scale estimates for the Navier-Stokes equations for incompressible fluids (1990) (66)
A fourth-order-accurate difference approximation for the incompressible Navier-Stokes equations☆ (1994) (65)
Stability of traveling waves: dichotomies and eigenvalue conditions on finite intervals (1999) (63)
Scaling and computation of smooth atmospheric motions (1986) (63)
Problems which are well posed in a generalized sense with applications to the Einstein equations (2006) (62)
Difference Methods for Stiff Ordinary Differential Equations (1978) (62)
Numerical methods for stiff two-point boundary value problems (1986) (53)
Decay in Time of Incompressible Flows (2003) (51)
Problems with different time scales (1992) (51)
Some Mathematical and Numerical Questions Connected with First and Second Order Time-Dependent Systems of Partial Differential Equations (2001) (50)
Stability of systems of viscous conservation laws (1998) (49)
An Embedded Boundary Method for the Wave Equation with Discontinuous Coefficients (2005) (48)
On the smallest scale for the incompressible Navier-Stokes equations (1989) (45)
Numerical Methods for Singular Perturbation Problems (1981) (45)
Boundary Conditions for Coupled Quasilinear Wave Equations with Application to Isolated Systems (2008) (38)
Numerical Experiments on the Interaction Between the Large- and Small-Scale Motions of the Navier-Stokes Equations (2003) (38)
Well-posed initial-boundary value problem for the harmonic Einstein equations using energy estimates (2007) (37)
Numerical solution of the coupled mode equations in duct acoustics (1994) (36)
An accurate hyperbolic system for approximately hydrostatic and incompressible oceanographic flows (1989) (36)
Difference approximations for the initial-boundary value problem for hyperbolic differential equations (1966) (35)
On Difference Approximations with Wrong Boundary Values (1968) (34)
Numerical methods for solving time-dependent problems for partial differential equations (1978) (34)
Method of lines for hyperbolic differential equations (1992) (31)
Constraint-preserving Sommerfeld conditions for the harmonic Einstein equations (2006) (31)
Modeling the black hole excision problem (2004) (29)
Some Remarks About Nonlinear Oscillations In Tidal Channels (1957) (29)
Splitting Methods for Problems with Different Timescales (1994) (28)
Stability for time-dependent differential equations (1998) (28)
Comparison of numerical methods for the calculation of two-dimensional turbulence (1989) (28)
On the convergence to steady state of solutions of nonlinear hyperbolic-parabolic systems (1994) (28)
C∞-Regularity for the porous medium equation (1986) (27)
Boundary Estimates for the Elastic Wave Equation in Almost Incompressible Materials (2011) (26)
On the swirling flow between rotating coaxial disks: Existence and nonuniqueness (1982) (26)
Initialization of the shallow water equations with open boundaries by the bounded derivative method (1982) (25)
Initial-boundary value problems for second order systems of partial differential equations∗ (2010) (24)
Boundary conditions for the parabolic equation in a range‐dependent duct (1990) (23)
Remarks on Singular Perturbations with Turning Points (1974) (23)
Global existence and exponential decay for hyperbolic dissipative relativistic fluid theories (1997) (22)
On the condition of the linear systems associated with discretized BVPs of ODEs (1986) (21)
Parabolic problems which are ill-posed in the zero dissipation limit (2002) (21)
Reduced Systems for the Shallow Water Equations (1987) (19)
Stability of Quasi-linear Hyperbolic Dissipative Systems (1997) (19)
The Role of Gravity Waves in Slowly Varying in Time Tropospheric Motions near the Equator (2000) (18)
Difference approximations for initial boundary-value problems (1971) (18)
Difference approximations for hyperbolic differential equations (1966) (17)
Difference approximations of hyperbolic problems with different time scales. I : The reduced problem (1983) (15)
Finite difference schemes for second order systems describing black holes (2006) (15)
On the existence of slow manifolds for problems with different timescales (1994) (13)
Introduction to Numerical Methods for Time Dependent Differential Equations (2014) (13)
Time-Dependent Partial Differential Equations And Their Numerical Solution (2001) (12)
The Role of Gravity Waves in Slowly Varying in Time Mesoscale Motions (1997) (12)
Difference approximations for initial value problems for partial differential equations (1966) (11)
Stability of Viscous Shocks on Finite Intervals (2007) (10)
The well-posedness of the null-timelike boundary problem for quasilinear waves (2010) (10)
On stability of conservation laws (1999) (10)
DIFFERENCE APPROXIMATIONS FOR SINGULAR PERTURBATION PROBLEMS (1975) (10)
Boundary conditions for hyperbolic differential equations (1974) (10)
Resonance for singular perturbation problems (1981) (8)
Numerical methods for hyperbolic partial differential equations (1979) (7)
Initial boundary value problems for hyperbolic partial differential equations (1975) (7)
Geometric boundary data for the gravitational field (2013) (7)
Pseudospectral vs. Finite Difference Methods for Initial Value Problems with Discontinuous Coefficient (1998) (7)
Multiscale Bounded Derivative Initialization for an Arbitrary Domain (2002) (6)
Numerical problems connected with weather prediction (1985) (6)
Comparison of finite difference and the pseudo-spectral approximations for hyperbolic equations and implementation analysis on parallel computer cm-2 (1992) (6)
The impact of rough forcing on systems with multiple time scales (1994) (6)
A Comparison of Differential Systems and Numerical Methods for the Computation of Smooth Oceanographic Flows (1992) (6)
The initial boundary value problem for the Schröudinger equation (1990) (6)
2 – Problems with Different Time Scales (1985) (5)
On the numerical solution of the spherically symmetric diffusion equation (1968) (5)
Hyperbolic Initial Boundary Value Problems which are not Boundary Stable (2008) (5)
Numerical solution of conservation laws (1981) (5)
Multiscale computations for highly oscillatory problems, Multiscale Modeling and Simulation in Science (2009) (5)
Testing the well-posedness of characteristic evolution of scalar waves (2013) (5)
The Einstein equations, boundaries and integration by parts (2007) (4)
A study of long-term climate change in a simple seasonal nonlinear climate model (1991) (4)
Methods for singular perturbation problems (1975) (4)
On the well posedness of Robinson–Trautman–Maxwell solutions (2007) (4)
Stability and Convergence for Difference Methods (2013) (4)
Non-symmetric hyperbolic problems with different time scales (1995) (4)
A priori estimates in terms of the maximum norm for the solutions of the Navier-Stokes equations (2004) (3)
Estimates of the local minimum scale for the incompressible navier-stokes equations navier-stokes equations (1995) (3)
On the swirling flow between rotating coaxial disks, asymptotic behaviour, II (1981) (3)
Numerical Solution of Singular Perturbation Problems (1974) (3)
Central difference schemes and stiff boundary value problems (1984) (3)
Interactions of fast and slow waves in hyperbolic systems with two time scales (1983) (3)
Non-Symmetric Hyperbolic Problems withDi erent Time (1993) (2)
The DGFS: a Useful Scoring System for the Prediction and Management of Delayed Graft Function Following Kidney Transplantation From Cadaveric Donors.: Abstract# D2681 (2014) (2)
A note on viscous conservation laws with complex characteristics (2006) (2)
Difference approximations for time dependent problems (1975) (2)
1. The Navier-Stokes Equations (2004) (2)
Stable difference approximations for parabolic equations (1994) (2)
Comments on “Observations of a Mesoscale Ducted Gravity Wave” (2000) (2)
Analysis of Periodic Updating for Systems with Multiple Timescales (1996) (1)
Explicit methods for mildly stiff oscillatory systems (1991) (1)
0 10 60 85 v 2 7 J ul 2 00 1 Some Mathematical And Numerical Questions Connected With First And Second Order Time Dependent Systems Of Partial Differential Equations (2002) (1)
Stability of Steady Solutions of Burgers's Equation (1998) (1)
Problems with Different Time Scales and Acoustics (1993) (1)
Shock Calculations and the Numerical Solution of Singular Perturbation Problems (1982) (1)
4. A Nonlinear Example: Burgers' Equation (2004) (1)
Difference methods for time-dependent partial differential equations (1994) (1)
5. Nonlinear Systems in One Space Dimension (2004) (0)
Local energy decay of solutions of linearized shallow‐water equations (1981) (0)
Fluid Mechanics Decay in Time of Incompressible Flows (2003) (0)
Pure and Applied Mathematics (2013) (0)
Appendix C: Some Results from Linear Algebra (2013) (0)
6. The Cauchy Problem for Systems in Several Dimensions (2004) (0)
C Infinity-Regularity for the Porous Median Equation. (1985) (0)
Impact Of Rough Forcing On Systems WithMultiple Time Scales (1970) (0)
The Energy Method for Initial–Boundary Value Problems (2013) (0)
3. Linear Variable-Coefficient Cauchy Problems in 1D (2004) (0)
Appendix B: Fourier and Laplace Transform (2013) (0)
Half Plane Problems (2001) (0)
of solutions of Burgers' : equation, Appl. Num. Math. 2 (1986), 161-179. Equation, Academic Press, New York, 1989. (1991) (0)
Well‐Posed Problems (2013) (0)
Finite di(cid:27)eren e s hemes for se ond order systems des ribing bla k holes (2006) (0)
The Energy Method for Difference Approximations (2013) (0)
2. Constant-Coefficient Cauchy Problems (2004) (0)
Higher Order Accuracy (2013) (0)
10. The Incompressible Navier-Stokes Equations under Initial and Boundary Conditions (2004) (0)
9. The Incompressible Navier-Stokes Equations: The Spatially Periodic Case (2004) (0)
7. Initial-Boundary Value Problems in One Space Dimension (2004) (0)
8. Initial-Boundary Value Problems in Several Space Dimensions (2004) (0)
Numerical solution of problems with different time scales II (1997) (0)
Problems with Discontinuous Solutions (2013) (0)
INITIAL BOUNDARY VALUE PROBLEMS FOR PARTIAL DIFFERENTIAL AND DIFFERENCE EQUATIONS IN ONE SPACE DIMENSION (1971) (0)
SUPRA-CONVERGENCE OF LINEAR EQUATIONS ON IRREGULAR CARTESIAN GRIDS (2002) (0)
The Laplace Transform Method for Difference Approximations (2013) (0)
Appendix A: Fourier Series and Trigonometric Interpolation (2013) (0)
Some Remarks About Computational Fluid Dynamics (1993) (0)
The Laplace Transform Method for Fully Discrete Approximations (2013) (0)
Hyperbolic Equations and Numerical Methods (2013) (0)
The Laplace Transform Method for First‐Order Hyperbolic Systems (2013) (0)
Mathematical Software for Hyperbolic Equations and Two Point Boundary Value Problems. (1985) (0)
0 41 21 01 v 1 2 1 D ec 2 00 4 Modeling the Black Hole Excision Problem (2004) (0)
Appendix D: SBP Operators (2013) (0)
Fe b 20 14 Geometric Boundary Data for the Gravitational Field (2021) (0)
Second‐Order Wave Equations (2013) (0)
A Half Plane Problem Related to the Stability of Viscous Shock Waves (2003) (0)

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Heinz-otto Kreiss's Academic­Influence.com Rankings

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Heinz-otto Kreiss's Published Works

Published Works

Heinz-otto Kreiss's AcademicInfluence.com Rankings