Department of Scientific Computing

1998

1. The number of coarse-grid iterations every cycle for the two-grid method. Lars Ferm. In SIAM Journal on Scientific Computing, volume 19, pp 493-501, 1998. (DOI).
2. Designing an efficient solution strategy for fluid flows II: Stable high-order central finite difference schemes on composite adaptive grids with sharp shock resolution. Margot Gerritsen and Pelle Olsson. In Journal of Computational Physics, volume 147, pp 293-317, 1998. (DOI).
3. On the implementation of boundary conditions for the method of lines. Bertil Gustafsson. In BIT Numerical Mathematics, volume 38, pp 293-314, 1998. (DOI).
4. A new parallel preconditioner for the Euler equations. Lina Hemmingsson and Andreas Kähäri. In Applied Parallel Computing: Large Scale Scientific and Industrial Problems, volume 1541 of Lecture Notes in Computer Science, pp 230-238, Springer-Verlag, Berlin, 1998. (DOI).
5. A semi-circulant preconditioner for the convection-diffusion equation. Lina Hemmingsson. In Numerische Mathematik, volume 81, pp 211-248, 1998. (DOI).
6. A framework for polynomial preconditioners based on fast transforms I: Theory. Sverker Holmgren and Kurt Otto. In BIT Numerical Mathematics, volume 38, pp 544-559, 1998. (DOI).
7. A framework for polynomial preconditioners based on fast transforms II: PDE applications. Sverker Holmgren and Kurt Otto. In BIT Numerical Mathematics, volume 38, pp 721-736, 1998. (DOI).
8. Adaptive wavelet methods for hyperbolic PDEs. Mats Holmström and Johan Waldén. In Journal of Scientific Computing, volume 13, pp 19-49, 1998. (DOI).
9. A framework for partitioning structured grids with inhomogeneous workload. Jarmo Rantakokko. In Parallel Algorithms and Applications, volume 13, pp 135-151, 1998. (DOI).
10. Comparison of partitioning strategies for PDE solvers on multiblock grids. Jarmo Rantakokko. In Applied Parallel Computing: Large Scale Scientific and Industrial Problems, volume 1541 of Lecture Notes in Computer Science, pp 468-475, Springer-Verlag, Berlin, 1998. (DOI).
11. Software tools for partitioning block-structured applications. Jarmo Rantakokko. In Computing in Object-Oriented Parallel Environments, volume 1505 of Lecture Notes in Computer Science, pp 83-94, Springer-Verlag, Berlin, 1998. (DOI).
12. Numerical studies of hyperbolic IBVP with high-order finite difference operators satisfying a summation by parts rule. Bo Strand. In Applied Numerical Mathematics, volume 26, pp 497-521, 1998. (DOI).

1997

1. Implicit explicit residual smoothing for the multidimensional Euler and Navier-Stokes equations. Rickard Enander. In SIAM Journal on Scientific Computing, volume 18, pp 1243-1254, 1997. (DOI).
2. Two-grid solution of shock problems. Lars Ferm and Per Lötstedt. In SIAM Journal on Scientific Computing, volume 18, pp 1533-1552, 1997. (DOI).
3. Stability and non-normality of the <em>k</em>–<em>?</em> equations. Per Lötstedt and Per Carlbom. In Journal of Computational and Applied Mathematics, volume 83, pp 11-37, 1997. (DOI).
4. Object-oriented software tools for the construction of preconditioners. Eva Mossberg, Kurt Otto, and Michael Thuné. In Scientific Programming, volume 6, pp 285-295, 1997. (External link).
5. Strategies for parallel variational data assimilation. Jarmo Rantakokko. In Parallel Computing, volume 23, pp 2017-2039, 1997. (DOI).
6. A multigrid smoother for high Reynolds number flows. Erik Sterner. In Electronic Transactions on Numerical Analysis, volume 6, pp 234-245, 1997.
7. Semi-implicit Runge-Kutta schemes for the Navier-Stokes equations. Erik Sterner. In BIT Numerical Mathematics, volume 37, pp 164-178, 1997. (DOI).
8. Object-Oriented Construction of Parallel PDE Solvers. Michael Thuné, Eva Mossberg, Peter Olsson, Jarmo Rantakokko, Krister Åhlander, and Kurt Otto. In Modern Software Tools for Scientific Computing, pp 203-226, Birkhäuser, Boston, MA, 1997.
9. Partitioning strategies for composite grids. Michael Thuné. In Parallel Algorithms and Applications, volume 11, pp 325-348, 1997. (DOI).
10. Parallel single grid and multigrid solution of industrial compressible flow problems. Anders Ålund, Per Lötstedt, and Mattias Sillén. In Computers & Fluids, volume 26, pp 775-791, 1997. (DOI).
11. Parallel solution of industrial compressible flow problems with static load balancing. Anders Ålund, Per Lötstedt, and Mattias Sillén. In Parallel Computational Fluid Dynamics: Algorithms and Results Using Advanced Computers, pp 336-343, Elsevier Science, Amsterdam, The Netherlands, 1997. (DOI).

1996

1. Designing an efficient solution strategy for fluid flows I: A stable high order finite difference scheme and sharp shock resolution for the Euler equations. Margot Gerritsen and Pelle Olsson. In Journal of Computational Physics, volume 129, pp 245-262, 1996. (DOI).
2. On the superconvergence of Galerkin methods for hyperbolic IBVP. David Gottlieb, Bertil Gustafsson, Pelle Olsson, and Bo Strand. In SIAM Journal on Numerical Analysis, volume 33, pp 1778-1796, 1996. (DOI).
3. High-order centered difference methods with sharp shock resolution. Bertil Gustafsson and Pelle Olsson. In Journal of Scientific Computing, volume 11, pp 229-260, 1996. (DOI).
4. Mathematics for Computer Tomography. Bertil Gustafsson. In Physica scripta. T, volume 61, pp 38-43, 1996. (DOI).
5. A domain decomposition method for almost incompressible flow. Lina Hemmingsson. In Computers & Fluids, volume 25, pp 771-789, 1996. (DOI).
6. Analysis of semi-Toeplitz preconditioners for first-order PDEs. Lina Hemmingsson and Kurt Otto. In SIAM Journal on Scientific Computing, volume 17, pp 47-64, 1996. (DOI).
7. Toeplitz preconditioners with block structure for first-order PDEs. Lina Hemmingsson. In Numerical Linear Algebra with Applications, volume 3, pp 21-44, 1996. (DOI).
8. Semicirculant solvers and boundary corrections for first-order partial differential equations. Sverker Holmgren and Kurt Otto. In SIAM Journal on Scientific Computing, volume 17, pp 613-630, 1996. (DOI).
9. Software tools for parallel CFD on composite grids. Peter Olsson, Jarmo Rantakokko, and Michael Thuné. In Parallel Computational Fluid Dynamics: Implementations and Results Using Parallel Computers, pp 725-732, Elsevier Science, Amsterdam, The Netherlands, 1996. (DOI).
10. Analysis of preconditioners for hyperbolic partial differential equations. Kurt Otto. In SIAM Journal on Numerical Analysis, volume 33, pp 2131-2165, 1996. (DOI).
11. Object-oriented software tools for parallel PDE solvers. Michael Thuné. In Wuhan University Journal of Natural Sciences, volume 1, pp 420-429, 1996. (DOI).
12. Towards an expressive language for PDE solvers. Michael Thuné and Krister Åhlander. In Programming Languages and Systems, volume 1058 of Lecture Notes in Computer Science, pp 373-386, Springer-Verlag, Berlin, 1996. (DOI).

1995

1. Improving the accuracy of BDF methods for index 3 differential-algebraic equations. Carmen Arévalo and Per Lötstedt. In BIT Numerical Mathematics, volume 35, pp 297-308, 1995. (DOI).
2. High order shock capturing methods. Björn Engquist and Björn Sjögreen. In Computational Fluid Dynamics Review 1995, pp 210-233, John Wiley & Sons, New York, 1995.
3. Non-reflecting boundary conditions for the steady Euler equations. Lars Ferm. In Journal of Computational Physics, volume 122, pp 307-316, 1995. (DOI).
4. Constrained motion problems with applications by nonlinear programming methods. Roland Glowinski and Mats Holmström. In Surveys on Mathematics for Industry, volume 5, pp 75-108, 1995.
5. Fourth-order difference methods for hyperbolic IBVPs. Bertil Gustafsson and Pelle Olsson. In Journal of Computational Physics, volume 117, pp 300-317, 1995. (DOI).
6. High order difference methods on structured grids. Bertil Gustafsson. In Computational Fluid Dynamics Review 1995, pp 113-123, John Wiley & Sons, New York, 1995.
7. Time Dependent Problems and Difference Methods. Bertil Gustafsson, Heinz-Otto Kreiss, and Joseph Oliger. John Wiley & Sons, New York, 1995.
8. A domain decomposition method for first-order PDEs. Lina Hemmingsson. In SIAM Journal on Matrix Analysis and Applications, volume 16, pp 1241-1267, 1995. (DOI).
9. A domain decomposition method for hyperbolic problems in 2D. Lina Hemmingsson. In Parallel Computational Fluid Dynamics: New Trends and Advances, pp 373-380, Elsevier Science, Amsterdam, The Netherlands, 1995. (DOI).
10. Parallelizing the fast wavelet transform. Mats Holmström. In Parallel Computing, volume 21, pp 1837-1848, 1995. (DOI).
11. Summation by parts, projections, and stability. I. Pelle Olsson. In Mathematics of Computation, volume 64, number 211, pp 1035-1065, 1995. (External link).
12. Summation by parts, projections, and stability. II. Pelle Olsson. In Mathematics of Computation, volume 64, number 212, pp 1473-1493, 1995. (External link).
13. High order centered difference methods for the compressible Navier-Stokes equations. Björn Sjögreen. In Journal of Computational Physics, volume 117, pp 67-78, 1995. (DOI).
14. Numerical experiments with the multiresolution scheme for the compressible Euler equations. Björn Sjögreen. In Journal of Computational Physics, volume 117, pp 251-261, 1995. (DOI).
15. Spectral analysis of the differential operator in wavelet bases. Johan Waldén. In Applied and Computational Harmonic Analysis, volume 2, pp 382-391, 1995. (DOI).

1994

1. A fast modified sine transform for solving block-tridiagonal systems with Toeplitz blocks. Lina Hemmingsson. In Numerical Algorithms, volume 7, pp 375-389, 1994. (DOI).
2. Summation by parts for finite difference approximations for <em>d</em>/<em>dx</em>. Bo Strand. In Journal of Computational Physics, volume 110, pp 47-67, 1994. (DOI).
3. Conservative and non-conservative interpolation between overlapping grids for finite volume solutions of hyperbolic problems. Eva Pärt-Enander and Björn Sjögreen. In Computers & Fluids, volume 23, pp 551-574, 1994. (DOI).
4. The numerical behavior of high-order finite difference methods. Pelle Olsson. In Journal of Scientific Computing, volume 9, pp 445-466, 1994. (DOI).
5. High order finite difference methods on non-smooth domains. Pelle Olsson. In Computer Methods in Applied Mechanics and Engineering, volume 116, pp 265-272, 1994. (DOI).
6. Improved convergence to the steady state of the Euler equations by enhanced wave propagation. Per Lötstedt. In Journal of Computational Physics, volume 114, pp 34-44, 1994. (DOI).
7. Semicirculant preconditioners for first-order partial differential equations. Sverker Holmgren and Kurt Otto. In SIAM Journal on Scientific Computing, volume 15, pp 385-407, 1994. (DOI).
8. Convergence acceleration for first order systems. Bertil Gustafsson and Per Lötstedt. In Numerical Methods for Fluid Dynamics: 4, pp 191-206, Oxford Univ. Press, New York, 1993.
9. A modified GMRES method for steady state solutions of hyperbolic systems. Bertil Gustafsson and Per Lötstedt. In Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects, volume 43 of Notes Numer. Fluid Mech., pp 306-314, Vieweg, Braunschweig, Germany, 1993.
10. Improved residual smoothing. Rickard Enander. In Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects, volume 43 of Notes Numer. Fluid Mech., pp 192-198, Vieweg, Braunschweig, Germany, 1993.
11. A partitioning algorithm for composite grids. Michael Thuné. In Parallel Algorithms and Applications, volume 1, pp 69-81, 1993. (DOI).
12. An integer based square root algorithm. Tony Barrera and Pelle Olsson. In BIT Numerical Mathematics, volume 33, pp 254-261, 1993. (DOI).
13. Fourier analysis of multigrid methods for general systems of PDEs. Per Lötstedt and Bertil Gustafsson. In Mathematics of Computation, volume 60, number 202, pp 473-493, 1993. (External link).
14. Improved implicit residual smoothing for steady state computations of first-order hyperbolic systems. Rickard Enander. In Journal of Computational Physics, volume 107, pp 291-296, 1993. (DOI).
15. The GMRES method improved by securing fast wave propagation. Bertil Gustafsson and Per Lötstedt. In Applied Numerical Mathematics, volume 12, pp 135-152, 1993. (DOI).
16. Portability and data structures in scientific computing: Object-oriented design of utility routines in Fortran. Kjell Högström and Michael Thuné. In Parallel Computing: From Theory to Sound Practice, pp 585-588, IOS Press, Amsterdam, The Netherlands, 1992.
17. The partitioning problem for a class of data parallel algorithms. Michael Thuné. In Parallel Computing, volume 18, pp 867-878, 1992. (DOI).
18. Iterative methods for stationary solutions to the steady-state compressible Navier-Stokes equations. Björn Sjögreen. In Computers & Fluids, volume 21, pp 627-645, 1992. (DOI).
19. Grid independent convergence of the multigrid method for first-order equations. Per Lötstedt. In SIAM Journal on Numerical Analysis, volume 29, pp 1370-1394, 1992. (DOI).
20. Iterative solution methods and preconditioners for block-tridiagonal systems of equations. Sverker Holmgren and Kurt Otto. In SIAM Journal on Matrix Analysis and Applications, volume 13, pp 863-886, 1992. (DOI).
21. Hyperbolic Problems: Theory, Numerical Methods and Applications. Björn Engquist and Bertil Gustafsson (eds). Chartwell-Bratt, Bromley, UK, 1991.
22. Analysis of multigrid methods for general systems of PDE. Bertil Gustafsson and Per Lötstedt. In Multigrid Methods: III, volume 98 of Internat. Ser. Numer. Math., pp 223-234, Birkhäuser, Basel, Switzerland, 1991.
23. Numerical approximation of hyperbolic conservation laws with stiff terms. Björn Sjögreen and Björn Engquist. In Hyperbolic Problems: Theory, Numerical Methods and Applications, pp 848-860, Chartwell-Bratt, Bromley, UK, 1991.
24. Straightforward partitioning of composite grids for explicit difference methods. Michael Thuné. In Parallel Computing, volume 17, pp 665-672, 1991. (DOI).
25. Navier-Stokes equations for almost incompressible flow. Bertil Gustafsson and Hans Stoor. In SIAM Journal on Numerical Analysis, volume 28, pp 1523-1547, 1991. (DOI).
26. On Godunov-type methods near low densities. Bernd Einfeldt, Claus-Dieter Munz, Philip L. Roe, and Björn Sjögreen. In Journal of Computational Physics, volume 92, pp 273-295, 1991. (DOI).
27. Extrapolation procedures at outflow boundaries for the Navier-Stokes equations. Bertil Gustafsson and Jan Nordström. In Computing Methods in Applied Sciences and Engineering, pp 136-151, SIAM, Philadelphia, PA, 1990.
28. Projection shock capturing algorithms. Björn Engquist and Björn Sjögreen. In Twelfth International Conference on Numerical Methods in Fluid Dynamics, volume 371 of Lecture Notes in Physics, pp 335-336, Springer-Verlag, Berlin, 1990. (DOI).
29. A partitioning strategy for explicit difference methods. Michael Thuné. In Parallel Computing, volume 15, pp 147-154, 1990. (DOI).
30. A numerical algorithm for stability analysis of difference methods for hyperbolic systems. Michael Thuné. In SIAM Journal on Scientific and Statistical Computing, volume 11, pp 63-81, 1990. (DOI).
31. A dataparallel implementation of an explicit method for the three-dimensional compressible Navier-Stokes equations. Pelle Olsson and S. Lennart Johnsson. In Parallel Computing, volume 14, pp 1-30, 1990. (DOI).
32. Stability of a Runge-Kutta method for the Navier-Stokes equation. Johan Sowa. In BIT Numerical Mathematics, volume 30, pp 542-560, 1990. (DOI).
33. Open boundary conditions for external flow problems. Lars Ferm. In Journal of Computational Physics, volume 91, pp 55-70, 1990. (DOI).
34. Partition shapes for explicit difference methods: slices vs rectangles. Michael Thuné. In Hypercube and Distributed Computers, pp 383-384, Elsevier Science, Amsterdam, The Netherlands, 1989.
35. Parallelization of iterative solution methods and preconditioners for non-diagonally dominant, block-tridiagonal systems of equations. Sverker Holmgren, Kurt Otto, and Lina Frändén. In Hypercube and Distributed Computers, pp 353-354, Elsevier Science, Amsterdam, The Netherlands, 1989.
36. Analysis of the multigrid method applied to first order systems. Bertil Gustafsson and Per Lötstedt. In Proc. Fourth Copper Mountain Conference on Multigrid Methods, pp 181-233, SIAM, Philadelphia, PA, 1989.
37. Unsymmetric hyperbolic systems and almost incompressible flow. Bertil Gustafsson. In Nonlinear Hyperbolic Equations: Theory, Computation Methods, and Applications, volume 24 of Notes Numer. Fluid Mech., pp 193-208, Vieweg, Braunschweig, Germany, 1989.
38. Stability of a Runge–Kutta method for the Euler equations on a substructured domain. Kurt Otto and Michael Thuné. In SIAM Journal on Scientific and Statistical Computing, volume 10, pp 154-174, 1989. (DOI).
39. Boundary modifications of the dissipation operators for the three-dimensional Euler equations. Pelle Olsson and S. Lennart Johnsson. In Journal of Scientific Computing, volume 4, pp 159-195, 1989. (DOI).
40. Far-field boundary conditions for time-dependent hyperbolic systems. Bertil Gustafsson. In SIAM Journal on Scientific and Statistical Computing, volume 9, pp 812-828, 1988. (DOI).
41. Inhomogeneous conditions at open boundaries for wave propagation problems. Bertil Gustafsson. In Applied Numerical Mathematics, volume 4, pp 3-19, 1988. (DOI).
42. Open boundary conditions for stationary inviscid flow problems. Lars Ferm. In Journal of Computational Physics, volume 78, pp 94-113, 1988. (DOI).

1987

1. Far field boundary conditions for steady state solutions to hyperbolic systems. Bertil Gustafsson and Lars Ferm. In Nonlinear Hyperbolic Problems, volume 1270 of Lecture Notes in Mathematics, pp 238-252, Springer-Verlag, Berlin, 1987. (DOI).
2. Steady state computations for wave propagation problems. Björn Engquist and Bertil Gustafsson. In Mathematics of Computation, volume 49, number 179, pp 39-64, 1987. (External link).
3. Unsymmetric hyperbolic systems and the Euler equations at low Mach numbers. Bertil Gustafsson. In Journal of Scientific Computing, volume 2, pp 123-136, 1987. (DOI).
4. Automatic GKS stability analysis. Michael Thuné. In SIAM Journal on Scientific and Statistical Computing, volume 7, pp 959-977, 1986. (DOI).
5. A semi-implicit method for hyperbolic problems with different time-scales. Jaime Guerra and Bertil Gustafsson. In SIAM Journal on Numerical Analysis, volume 23, pp 734-749, 1986. (DOI).
6. A numerical method for incompressible and compressible flow problems with smooth solutions. Jaime Guerra and Bertil Gustafsson. In Journal of Computational Physics, volume 63, pp 377-397, 1986. (DOI).
7. Computation of the maximum flow rate of a perfect gas through a slit in a plane wall. Per Wahlund. In Computers & Fluids, volume 14, pp 253-265, 1986. (DOI).
8. Numerical boundary conditions. Bertil Gustafsson. In Large-Scale Computations in Fluid Mechanics, volume 22 of Lectures in Applied Mathematics, pp 279-308, Amer. Math. Soc., Providence, RI, 1985.
9. A note on parallel algorithms for partial differential equations. Ragnar Ahlberg and Bertil Gustafsson. In Parallel Computing: 83, pp 93-98, Elsevier Science, Amsterdam, The Netherlands, 1984.
10. A software package for stability analysis of difference methods. Michael Thuné. In PDE Software: Modules, Interfaces and Systems, pp 89-102, Elsevier Science, Amsterdam, The Netherlands, 1984.
11. Fast iterative methods for nonlinear problems. Quyen Huynh and Yau Shu Wong. In Numerical Methods for Nonlinear Problems, pp 729-741, Pineridge, Swansea, UK, 1984.
12. Automatic analysis in PDE software. Björn Engquist and Tom Smedsaas. In PDE Software: Modules, Interfaces and Systems, pp 399-409, Elsevier Science, Amsterdam, The Netherlands, 1984.
13. Difference approximations of hyperbolic problems with different time scales. I: The reduced problem. Bertil Gustafsson and Heinz-Otto Kreiss. In SIAM Journal on Numerical Analysis, volume 20, pp 46-58, 1983. (DOI).
14. Stable boundary approximations for implicit time discretizations for gas dynamics. Bertil Gustafsson and Joseph Oliger. In SIAM Journal on Scientific and Statistical Computing, volume 3, pp 408-421, 1982. (DOI).
15. A down-stream boundary procedure for the Euler equations. Lars Ferm and Bertil Gustafsson. In Computers & Fluids, volume 10, pp 261-276, 1982. (DOI).
16. The choice of numerical boundary conditions for hyperbolic systems. Bertil Gustafsson. In Journal of Computational Physics, volume 48, pp 270-283, 1982. (DOI).
17. One-sided difference approximations for nonlinear conservation laws. Björn Engquist and Stanley Osher. In Mathematics of Computation, volume 36, number 154, pp 321-351, 1981. (External link).
18. The convergence rate for difference approximations to general mixed initial boundary value problems. Bertil Gustafsson. In SIAM Journal on Numerical Analysis, volume 18, pp 179-190, 1981. (DOI).
19. Numerical radiation boundary conditions for unsteady transonic flow. Björn Engquist and Andrew Majda. In Journal of Computational Physics, volume 40, pp 91-103, 1981. (DOI).
20. Inverse imaging methods in exploration seismology. Björn Engquist. In Computing Methods in Applied Sciences and Engineering, pp 547-552, Elsevier Science, Amsterdam, The Netherlands, 1980.
21. On composite mesh difference methods for hyperbolic differential equations. Göran Starius. In Numerische Mathematik, volume 35, pp 241-255, 1980. (DOI).
22. One-sided difference schemes and transonic flow. Björn Engquist and Stanley Osher. In Proceedings of the National Academy of Sciences of the United States of America, volume 77, pp 3071-3074, 1980. (DOI).
23. Problems with different time scales for partial differential equations. Heinz-Otto Kreiss. In Communications on Pure and Applied Mathematics, volume 33, pp 399-439, 1980. (DOI).
24. Finite-difference methods for computing the steady flow about blunt bodies. Bertil Gustafsson and Per Wahlund. In Journal of Computational Physics, volume 36, pp 327-346, 1980. (DOI).
25. Numerical solution of hyperbolic systems with different time scales using asymptotic expansions. Bertil Gustafsson. In Journal of Computational Physics, volume 36, pp 209-235, 1980. (DOI).
26. Asymptotic expansions for hyperbolic problems with different time-scales. Bertil Gustafsson. In SIAM Journal on Numerical Analysis, volume 17, pp 623-634, 1980. (DOI).
27. Automatic computer code generation for hyperbolic and parabolic differential equations. Björn Engquist and Tom Smedsaas. In SIAM Journal on Scientific and Statistical Computing, volume 1, pp 249-259, 1980. (DOI).
28. Stable and entropy satisfying approximations for transonic flow calculations. Björn Engquist and Stanley Osher. In Mathematics of Computation, volume 34, number 149, pp 45-75, 1980. (External link).
29. Comment on "On boundary conditions for hyperbolic difference schemes". Bertil Gustafsson. In Journal of Computational Physics, volume 34, pp 108-110, 1980. (DOI).
30. Numerical methods for hyperbolic partial differential equations. Heinz-Otto Kreiss. In Numerical Methods for Partial Differential Equations, volume 42 of Publ. Math. Res. Center Univ. Wisconsin, pp 213-254, Academic Press, New York, 1979.
31. Problems with different time scales for ordinary differential equations. Heinz-Otto Kreiss. In SIAM Journal on Numerical Analysis, volume 16, pp 980-998, 1979. (DOI).
32. Stability of the Fourier method. Heinz-Otto Kreiss and Joseph Oliger. In SIAM Journal on Numerical Analysis, volume 16, pp 421-433, 1979. (DOI).
33. Boundary conditions for time dependent problems with an artificial boundary. Bertil Gustafsson and Heinz-Otto Kreiss. In Journal of Computational Physics, volume 30, pp 333-351, 1979. (DOI).
34. Difference and finite element methods for hyperbolic differential equations. Björn Engquist and Heinz-Otto Kreiss. In Computer Methods in Applied Mechanics and Engineering, volume 17-18, pp 581-596, 1979. (DOI).
35. Radiation boundary conditions for acoustic and elastic wave calculations. Björn Engquist and Andrew Majda. In Communications on Pure and Applied Mathematics, volume 32, pp 313-357, 1979. (DOI).
36. Error analysis of finite difference schemes applied to hyperbolic initial boundary value problems. Gunilla Sköllermo. In Mathematics of Computation, volume 33, number 145, pp 11-35, 1979. (External link).
37. Problems with different time scales. Heinz-Otto Kreiss. In Recent Advances in Numerical Analysis, volume 41 of Publ. Math. Res. Center Univ. Wisconsin, pp 95-106, Academic Press, New York, 1978.
38. A Fourier analysis of some difference schemes for the Laplace equation in a system of rotational symmetry. Anders Sköllermo and Gunilla Sköllermo. In Journal of Computational Physics, volume 28, pp 103-114, 1978. (DOI).
39. Difference methods for stiff ordinary differential equations. Heinz-Otto Kreiss. In SIAM Journal on Numerical Analysis, volume 15, pp 21-58, 1978. (DOI).
40. Incompletely parabolic problems in fluid dynamics. Bertil Gustafsson and Arne Sundström. In SIAM Journal on Applied Mathematics, volume 35, pp 343-357, 1978. (DOI).
41. Numerical solution of a PDE system describing a catalytic converter. Björn Engquist, Bertil Gustafsson, and Joop Vreeburg. In Journal of Computational Physics, volume 27, pp 295-314, 1978. (DOI).
42. Numerical Methods for Solving Time-Dependent Problems for Partial Differential Equations. Heinz-Otto Kreiss. Presses Univ. Montréal, Canada, 1978.
43. Composite mesh difference methods for elliptic boundary value problems. Göran Starius. In Numerische Mathematik, volume 28, pp 243-258, 1977. (DOI).
44. Constructing orthogonal curvilinear meshes by solving initial value problems. Göran Starius. In Numerische Mathematik, volume 28, pp 25-48, 1977. (DOI).
45. A priori estimates for solutions of singular perturbations with a turning point. Leif R. Abrahamsson. In Studies in applied mathematics (Cambridge), volume 56, pp 51-69, 1977.
46. Absorbing boundary conditions for the numerical simulation of waves. Björn Engquist and Andrew Majda. In Mathematics of Computation, volume 31, number 139, pp 629-651, 1977. (External link).
47. Numerical methods for singular perturbation problems. Heinz-Otto Kreiss. In Asymptotic Methods and Singular Perturbations, volume X of SIAM-AMS Proceedings, pp 73-86, Amer. Math. Soc., Providence, RI, 1976.
48. On the Navier-Stokes equations with constant total temperature. David Gottlieb and Bertil Gustafsson. In Studies in applied mathematics (Cambridge), volume 55, pp 167-185, 1976.
49. Generalized Du Fort-Frankel methods for parabolic initial-boundary value problems. David Gottlieb and Bertil Gustafsson. In SIAM Journal on Numerical Analysis, volume 13, pp 129-144, 1976. (DOI).
50. Inverse eigenvalue problems for Jacobi matrices. Ole H. Hald. In Linear Algebra and its Applications, volume 14, pp 63-85, 1976. (DOI).
51. Initial boundary value problems for hyperbolic partial differential equations. Heinz-Otto Kreiss. In Fourth International Conference on Numerical Methods in Fluid Dynamics, volume 35 of Lecture Notes in Physics, pp 22-33, Springer-Verlag, Berlin, 1975. (DOI).
52. Difference approximations for singular perturbation problems. Heinz-Otto Kreiss. In Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations, pp 199-211, Academic Press, New York, 1975.
53. On a Fourier method for the integration of hyperbolic equations. Bengt Fornberg. In SIAM Journal on Numerical Analysis, volume 12, pp 509-528, 1975. (DOI).
54. A Fourier method for the numerical solution of Poisson's equation. Gunilla Sköllermo. In Mathematics of Computation, volume 29, number 131, pp 697-711, 1975. (External link).
55. The convergence rate for difference approximations to mixed initial boundary value problems. Bertil Gustafsson. In Mathematics of Computation, volume 29, number 130, pp 396-406, 1975. (External link).
56. Finite element and finite difference methods for hyperbolic partial differential equations. Heinz-Otto Kreiss and Godela Scherer. In Mathematical Aspects of Finite Elements in Partial Differential Equations, volume 33 of Publ. Math. Res. Center Univ. Wisconsin, pp 195-212, Academic Press, New York, 1974.
57. Boundary conditions for hyperbolic differential equations. Heinz-Otto Kreiss. In Conference on the Numerical Solution of Differential Equations, volume 363 of Lecture Notes in Mathematics, pp 64-74, Springer-Verlag, Berlin, 1974. (DOI).
58. Remarks on singular perturbations with turning points. Heinz-Otto Kreiss and Seymour V. Parter. In SIAM Journal on Mathematical Analysis, volume 5, pp 230-251, 1974. (DOI).
59. A converse to the Bauer-Fike theorem. Ole H. Hald. In Linear Algebra and its Applications, volume 9, pp 267-274, 1974. (DOI).
60. Difference approximations for singular perturbations of systems of ordinary differential equations. Leif R. Abrahamsson, Herbert B. Keller, and Heinz-Otto Kreiss. In Numerische Mathematik, volume 22, pp 367-391, 1974. (DOI).
61. On Fourier-Toeplitz methods for separable elliptic problems. Dietrich Fischer, Gene Golub, Ole Hald, Carlos Leiva, and Olof Widlund. In Mathematics of Computation, volume 28, number 126, pp 349-368, 1974. (External link).
62. Difference approximations for singular perturbations of systems of ordinary differential equations. Heinz-Otto Kreiss. In Topics in Numerical Analysis, pp 185-189, Academic Press, London, 1973.
63. Eigenvalues of symmetric tridiagonal matrices: A fast, accurate and reliable algorithm. Victor Pereyra and Godela Scherer. In IMA Journal of Applied Mathematics, volume 12, pp 209-222, 1973. (DOI).
64. Computationally efficient schemes and boundary conditions for a fine-mesh barotropic model based on the shallow-water equations. Torbjörn Elvius and Arne Sundström. In Tellus, volume 25, pp 132-156, 1973. (DOI).
65. A numerical method for solving singular boundary value problems. Bertil Gustafsson. In Numerische Mathematik, volume 21, pp 328-344, 1973. (DOI).
66. On the instability of leap-frog and Crank-Nicolson approximations of a nonlinear partial differential equation. Bengt Fornberg. In Mathematics of Computation, volume 27, number 121, pp 45-57, 1973. (External link).
67. Mesh refinement. Gerald Browning, Heinz-Otto Kreiss, and Joseph Oliger. In Mathematics of Computation, volume 27, number 121, pp 29-39, 1973. (External link).
68. Comparison of accurate methods for the integration of hyperbolic equations. Heinz-Otto Kreiss and Joseph Oliger. In Tellus, volume 24, pp 199-215, 1972. (DOI).
69. Stability theory of difference approximations for mixed initial boundary value problems. II. Bertil Gustafsson, Heinz-Otto Kreiss, and Arne Sundström. In Mathematics of Computation, volume 26, number 119, pp 649-686, 1972. (External link).
70. Difference approximations for boundary and eigenvalue problems for ordinary differential equations. Heinz-Otto Kreiss. In Mathematics of Computation, volume 26, number 119, pp 605-624, 1972. (External link).
71. An alternating direction implicit method for solving the shallow water equations. Bertil Gustafsson. In Journal of Computational Physics, volume 7, pp 239-254, 1971. (DOI).
72. Difference approximations for initial boundary-value problems. Heinz-Otto Kreiss. In Proc. Roy. Soc. London: Ser. A, volume 323, number 1553, pp 255-261, 1971. (DOI).
73. On the Korteweg–de Vries equation: Existence and uniqueness. Anders Sjöberg. In Journal of Mathematical Analysis and Applications, volume 29, pp 569-579, 1970. (DOI).
74. Smoothing of initial data and rates of convergence for parabolic difference equations. Heinz-Otto Kreiss, Vidar Thomée, and Olof Widlund. In Communications on Pure and Applied Mathematics, volume 23, pp 241-259, 1970. (DOI).
75. Initial boundary value problems for hyperbolic systems. Heinz-Otto Kreiss. In Communications on Pure and Applied Mathematics, volume 23, pp 277-298, 1970. (DOI).
76. Maximum norm stability of difference approximations to the mixed initial boundary-value problem for the heat equation. James M. Varah. In Mathematics of Computation, volume 24, number 109, pp 31-44, 1970. (External link).
77. On difference approximations to hyperbolic differential equations over long time intervals. Bertil Gustafsson. In SIAM Journal on Numerical Analysis, volume 6, pp 508-522, 1969. (DOI).
78. Stability theory for difference approximations of mixed initial boundary value problems. I. Heinz-Otto Kreiss. In Mathematics of Computation, volume 22, number 104, pp 703-714, 1968. (External link).
79. On the numerical solution of the spherically symmetric diffusion equation. Heinz-Otto Kreiss. In Numerische Mathematik, volume 12, pp 223-225, 1968. (DOI).
80. On difference schemes for hyperbolic equations with discontinuous initial values. Mats Y. T. Apelkrans. In Mathematics of Computation, volume 22, number 103, pp 525-539, 1968. (External link).
81. On difference approximations with wrong boundary values. Heinz-Otto Kreiss and Einar Lundqvist. In Mathematics of Computation, volume 22, number 101, pp 1-12, 1968. (External link).
82. Finite-geometry and polarized multiple-scattering corrections of experimental fast-neutron polarization data by means of Monte Carlo methods. Olav Aspelund and Bertil Gustafsson. In Nuclear Instruments and Methods, volume 57, pp 197-218, 1967. (DOI).
83. A note on unconditionally stable linear multistep methods. Olof B. Widlund. In BIT Numerical Mathematics, volume 7, pp 65-70, 1967. (DOI).
84. On difference methods for parabolic equations and alternating direction implicit methods for elliptic equations. Olof B. Widlund. In IBM Journal of Research and Development, volume 11, pp 239-243, 1967. (DOI).
85. DETEC, a subprogram for simulation of the fast-neutron detection process in a hydro-carbonous plastic scintillator. Bertil Gustafsson and Olav Aspelund. In Nuclear Instruments and Methods, volume 48, pp 77-86, 1967. (DOI).
86. Difference approximations for the initial-boundary value problem for hyperbolic differential equations. Heinz-Otto Kreiss. In Numerical Solutions of Nonlinear Differential Equations, pp 141-166, John Wiley & Sons, New York, 1966.
87. Difference approximations for hyperbolic differential equations. Heinz-Otto Kreiss. In Numerical Solution of Partial Differential Equations, pp 51-58, Academic Press, New York, 1966.