Bertil Gustafsson
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Swedish mathematician
Bertil Gustafsson's AcademicInfluence.com Rankings
Bertil Gustafssonmathematics Degrees
Mathematics
#1871
World Rank
#2976
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Applied Mathematics
#61
World Rank
#73
Historical Rank
Measure Theory
#2610
World Rank
#3124
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Mathematics
Bertil Gustafsson's Degrees
- PhD Mathematics Uppsala University
Why Is Bertil Gustafsson Influential?
(Suggest an Edit or Addition)According to Wikipedia, Bertil Gustafsson is a Swedish applied mathematician and numerical analyst. He is currently a Professor emeritus in the Department of Information Technology at Uppsala University, Sweden. Gustafsson is known for his work in numerical methods for time-dependent partial differential equations and its applications in fluid dynamics. He is the G in GKS theory for initial-boundary value problems which discusses the stability criterion for numerical approximations of initial–boundary value problems. Gustafsson has also authored a couple of books on the topic numerical methods applied to PDE.
Bertil Gustafsson'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)
- Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II (1972) (465)
- The convergence rate for difference approximations to mixed initial boundary value problems (1975) (378)
- High Order Difference Methods for Time Dependent PDE (2008) (250)
- Incompletely parabolic problems in fluid dynamics (1978) (192)
- The convergence rate for difference approximations to general mixed initial boundary value problems (1981) (158)
- Boundary Conditions for Time Dependent Problems with an Artificial Boundary (1979) (112)
- On the direct Fourier method for computer tomography (2000) (87)
- Numerical Methods for Differential Equations (2011) (79)
- Fourth-order difference methods for hyperbolic IBVPs (1995) (73)
- Time compact high order difference methods for wave propagation, 2D (2004) (60)
- Far-Field Boundary Conditions for Time-Dependent Hyperbolic Systems (1988) (57)
- Time Compact Difference Methods for Wave Propagation in Discontinuous Media (2004) (54)
- On Error Bounds of Finite Difference Approximations to Partial Differential Equations—Temporal Behavior and Rate of Convergence (2000) (53)
- A numerical method for incompressible and compressible flow problems with smooth solutions (1986) (53)
- A numerical method for solving singular boundary value problems (1973) (53)
- High order accurate solution of the incompressible Navier-Stokes equations (2005) (50)
- Deferred Correction Methods for Initial Boundary Value Problems (2002) (47)
- An alternating direction implicit method for solving the shallow water equations (1971) (42)
- Stability criteria for hybrid difference methods (2008) (42)
- A down-stream boundary procedure for the euler equations (1982) (38)
- Navier-Stokes equations for almost incompressible flow (1991) (37)
- Deferred Correction Methods for Initial Value Problems (2001) (30)
- The choice of numerical boundary conditions for hyperbolic systems (1982) (26)
- Steady state computations for wave propagation problems (1987) (25)
- Extrapolation procedures at outflow boundaries for the Navier-Stokes equations (1990) (24)
- Analysis of the multigrid method applied to first order systems (1989) (23)
- Generalized Du Fort-Frankel methods for parabolic initial-boundary value problems (1976) (22)
- Time Compact High Order Difference Methods for Wave Propagation, 2D (2005) (21)
- On the implementation of boundary conditions for the method of lines (1998) (21)
- Inhomogeneous conditions at open boundaries for wave propagation problems (1988) (20)
- Finite-geometry and polarized multiple-scattering corrections of experimental fast-neutron polarization data by means of Monte Carlo methods (1967) (19)
- Supplement to Fourier Analysis of Multigrid Methods for General Systems of PDES (1993) (18)
- Mathematics for Computer Tomography (1996) (18)
- Boundary Conditions and Estimates for the Steady Stokes Equations on Staggered Grids (2000) (17)
- A semi-implicit method for hyperbolic problems with different time-scales (1986) (16)
- Difference approximations of hyperbolic problems with different time scales. I : The reduced problem (1983) (15)
- Fundamentals of Scientific Computing (2011) (15)
- On the Superconvergence of Galerkin Methods for Hyperbolic IBVP (1996) (14)
- On the Navier-Stokes equations with constant total temperature (1976) (14)
- Finite-Difference Methods for Computing the Steady Flow about Blunt Bodies (1980) (13)
- Numerical boundary conditions (1985) (12)
- A Fast Domain Decomposition High Order Poisson Solver (1999) (12)
- Deferred Correction in Space and Time (2002) (12)
- Unsymmetric hyperbolic systems and the Euler equations at low Mach numbers (1987) (12)
- A new type of boundary treatment for wave propagation (2006) (11)
- THE GODUNOV-RYABENKII CONDITION: THE BEGINNING OF A NEW STABILITY THEORY (2001) (11)
- Asymptotic expansions for hyperbolic problems with different time-scales (1980) (11)
- Fourth order methods for the Stokes and Navier-Stokes equations on staggered grids (2002) (9)
- A fourth order difference method for the incompressible Navier-Stokes equations (2003) (9)
- Analysis of multigrid methods for general systems of PDE (1991) (9)
- Stable Boundary Approximations for Implicit Time Discretizations for Gas Dynamics (1982) (8)
- Numerical solution of a PDE system describing a catalytic converter (1978) (8)
- DETEC, a subprogram for simulation of the fast-neutron detection process in a hydro-carbonous plastic scintillator (1967) (8)
- Numerical solution of hyperbolic systems with different time scales using asymptotic expansions (1980) (8)
- On Difference Approximations to Hyperbolic Differential Equations over Long Time Intervals (1969) (6)
- Scientific Computing: A Historical Perspective (2018) (6)
- Solving Flow Equations for High Mach Numbers on Overlapping Grids (1991) (5)
- The Euler and Navier-Stokes equations. Wellposedness, stability and composite grids (1991) (5)
- High-order difference methods for waves in discontinuous media (2006) (5)
- Least Square Problems (2011) (5)
- High-order centered difference methods with sharp shock resolution (1996) (4)
- The GMRES method improved by securing fast wave propagation (1993) (4)
- Implicit high-order difference methods and domain decomposition for hyperbolic problems (2000) (4)
- Stability and Convergence for Difference Methods (2013) (4)
- The Shifted Box Scheme for Scalar Transport Problems (2006) (4)
- Splitting methods for high order solution of the incompressible Navier–Stokes equations in 3D (2005) (4)
- The work of David Gottlieb : a success story (2011) (4)
- BIT Numerical Mathematics: Editorial (2005) (3)
- Visual Process Instructions for knowing how (2002) (3)
- A hybrid high order method for incompressible flow in complex geometries/version (2005) (2)
- Scientific Computing: An Introduction (2018) (2)
- The new data acquisition system for ESO instrumentation. (1983) (2)
- Educational Methods for Teaching Vocational Knowledge in a Virtual Environment (2003) (2)
- Unsymmetric hyperbolic systems and almost incompressible flow (1989) (2)
- High order difference method on staggered, curvilinear grids for the incompressible Navier-Stokes equations (2003) (2)
- The Possibilities of Synthetic Photometry (1986) (1)
- Fundamentals of scientific computing / Bertil Gustafsson (2011) (1)
- Stability analysis for initial-boundary value problems (1983) (1)
- Computers and Programming (2011) (1)
- Evaluation of the Simula Research Laboratory (2004) (1)
- Comment on "On boundary conditions for hyperbolic difference schemes" (1980) (1)
- High order methods and domain decomposition (2001) (1)
- Convergence acceleration for first order systems (1993) (1)
- Combining Wavelets with Finite Differences : Consistency Analysis (2002) (1)
- A Modified GMRES Method for Steady State Solutions of Hyperbolic Systems (1993) (1)
- Boundary Conditions for problems in aerodynamics (1981) (0)
- Saul Abarbanel; Half a Century of Scientific Work (2019) (0)
- Higher Order Accuracy (2013) (0)
- A note on parallel algorithms for partial differential equations (1984) (0)
- Rediscover the art of engineering (2002) (0)
- Vehicle axle and method and apparatus for its production (2002) (0)
- Appendix A: Fourier Series and Trigonometric Interpolation (2013) (0)
- Design and Problem Oriented Education based on the Application of Knowledge – Developing Chalmers' Master’s Programme in Production Engineering (2011) (0)
- Basic Linear Algebra (2011) (0)
- Finite Difference Methods (2011) (0)
- Carbon, nitrogen and oxygen abundances in G8-K3 giant stars. (1982) (0)
- The Laplace Transform Method for First‐Order Hyperbolic Systems (2013) (0)
- Saul Abarbanel; Half a Century of Scientific Work (2019) (0)
- The Beginning of the Computer Era (2018) (0)
- Linear Systems of Equations (2011) (0)
- Erratum to: Basic Linear Algebra (2011) (0)
- Boundary conditions for the Navier-Stoke's equations at an artificial boundary intersecting a solid boundary (1990) (0)
- International Conference on Computing Methods in Applied Sciences and Engineering (9th) Held in Paris, France on 29 January-2 February 1990 (1990) (0)
- Metal content and microturbulence in G8--K3 Giants, as investigated by means of photoelectric photometry in very narrow bands (1974) (0)
- Modelling Swash Zone Flows on an Alongshore Dependent Beach (2008) (0)
- CLaSSiC-87-19 00 Inhomogeneous Conditions at Open Boundaries for Wave Propagation Problems (0)
- DIGITAL CORRECTION OF EXPERIMENTAL FAST-NEUTRON POLARIZATION DATA FOR FINITE-GEOMETRY AND POLARIZED MULTIPLE SCATTERING EFFECTS. (1967) (0)
- The Energy Method for Difference Approximations (2013) (0)
- Numerical Solution of Nonlinear Equations (2011) (0)
- Appendix B: Fourier and Laplace Transform (2013) (0)
- Hyperbolic Problems : Theory, Numerical Methods and Applications (1991) (0)
- The Establishment of Scientific Computing as a New Discipline (2018) (0)
- Impact of Numerical Analysis and Scientific Computing (2018) (0)
- Second‐Order Wave Equations (2013) (0)
- Effect of grain size on creep crack formation in an austenitic steel (2013) (0)
- Far field boundary conditions for steady state solutions to hyperbolic systems (1987) (0)
- Problems with Discontinuous Solutions (2013) (0)
- Well‐Posed Problems (2013) (0)
- Modeling and simulation of run-up waves on a sloping beach extended with artificial bottom (2006) (0)
- Analysis and Methods in Fluid Mechanics (1991) (0)
- The Fourier Transform (2011) (0)
- Diffusion equation : Computation (2015) (0)
- Hyperbolic Equations and Numerical Methods (2013) (0)
- The Laplace Transform Method for Difference Approximations (2013) (0)
- Appendix D: SBP Operators (2013) (0)
- The Laplace Transform Method for Fully Discrete Approximations (2013) (0)
- Pure and Applied Mathematics (2013) (0)
- Stability at the interface in hybrid difference methods using the Kreiss theory (0)
- Appendix C: Some Results from Linear Algebra (2013) (0)
- The Energy Method for Initial–Boundary Value Problems (2013) (0)
- Computation Far Back in Time (2018) (0)
- The Centuries Before Computers (2018) (0)
- Finite Element Methods (2011) (0)
- Third International Conference on Hyperbolic Problems : Proceedings of the conference dedicated to Professor Heinz-Otto Kreiss on his 60th birthday (1991) (0)
- High order difference methods on structured grids (1995) (0)
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