Heinz-otto Kreiss
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(Suggest an Edit or Addition)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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