University of Bergen : Faculty Math and Nat. Sci. : Department of Mathematics : Publications

Reports in applied mathematics

 

This is a complete listing of all the reports in applied mathematics at the Department of mathematics. To get a copy of a particular report, please contact the author(s), or send a request to the office staff.

2002:
  1. Jarle Berntsen and Gunnar Furnes, Internal Pressure Errors in -Coordinate Ocean Models - Sensitivity Studies in the Low Viscosity Case, December 2002. (PDF)
  2. Jarle Berntsen and Gunnar Furnes, Small scale topographic effects on the near sea bed flow at Ormen Lange, November 2002. (PDF)
  3. R. Bürger, K.H. Karlsen, N. H. Risebro and J. D. Towers, On a Model for Continous Sedimentation in Vessels with Discontinously varying Cross-Sectional Area, April 2002
  4. Helge Holden, K.H. Karlsen and Nils H. Risebro On the uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations, April 2002
  5. R. Bürger, H. Frid, and K.H. Karlsen, On a Free Boundary Problem for a strongly degenerate quasilinear parabolic equation with an Application to a Model of pressure filtration, January 2002
  6. I. Berre, H.K. Dahle, K. Hvistendahl Karlsen, K.-A. Lie A streamline front tracking method for two- and three-phase flow including capillary forces, January 2002
  7. H.K. Dahle, M.A. Celia, S. Majid Hassanizadeh and K. Hvistendahl Karlsen, A total pressure-saturation formulation of two-phase flow incorporating dyanmic effects in the capillary-pressure-saturation relationship, January 2002
2001:
  1. Jarle Berntsen, Øyvind Thiem and Tor Eldevik, Combined effects of thermohaline and atmosphere forcing on the currents at Ormen Lange, December 2001
  2. Agathe Sørflaten, Jarle Berntsen and Guttorm Alendal, Effects of bottom drag and shelf slope steepness on the currents along the shelf slope at Ormen Lange, December 2001
  3. Frode Vikebø, Jarle Berntsen and Gunnar Furnes, Gravity currents at Ormen Lange, December 2001
  4. Frode Vikebø, Jarle Berntsen and Gunnar Furnes, Numerical studies of the current response at Ormen Lange to a travelling storm, December 2001
  5. R. Bürger, K.H. Karlsen, N.H. Risebro and J.D. Towers, Numerical methods for the simulation of continous sedimentation in ideal clarier-thickener units, October 2001
  6. Inga Berre, Helge K. Dahle, Kenneth H. Karlsen and Hans F. Nordhaug, A streamline front tracking method for two- and three-phse flow including capillary forces, October 2001
  7. R. Bürger, J.J.R. Damasceno and K.H. Karlsen, A mathematical model for batch and continous thickening of flocculent suspensions in vessels with varying section, October 2001
  8. Espen R. Jakobsen and Kenneth H. Karlsen, Continous defendence estimates for viscosity solutions of fully nonlinear degenerate elliptic equations, August 2001
  9. Alf H. Øien, Trapping of dilute ion components in wells and double wells in higher equatorial magnetic regions: A kinetic theory including collisions, varying background and additional fields, August 2001
  10. Alf H. Øien, A description of daphnicle dynamics based on kinetic theory: Attempts at analogue-modelling of swarming and behavior of Daphnia, June 2001
  11. Trygve K. Nilssen, Trond Mannseth and Xue-Cheng Tai, Permeability estimation with the augmented Lagrangian method for a nonlinear diffusion equation, January 2001
  12. Kent André Mardal, Xue-Cheng Tai and Ragnar Winther, A robust finite element method for Darcy-Stokes flow, January 2001
  13. Trygve K. Nilssen and Xue-Cheng Tai, Parameter estimation with the augmented Lagrangian method for a parabolic equation, January 2001
2000:
  1. Fred E. Benth, Kenneth H. Karlsen and Kristin Reikvam, On the existence of optimal controls for a singular stochastic control problem in finance, November 2000
  2. Yngve Heggelund and Jarle Berntsen, A two-way nesting procedure for an ocean model with application to the Norwegian Sea, November 2000
  3. Xue-Cheng Tai, Rate of Convergence for some constraint decomposition methods for nonlinear variational inequalities, October 2000
  4. Kenneth Hvistendahl Karlsen and Nils H. Risebro, Convergence of finite differences schemes fo viscous and inviscid conservation laws with rough coefficients, September 2000
  5. Espen R. Jakobsen, Kenneth H. Karlsen and Nils H. Risebro, On the convergence Rate of Operator splitting for weakly cupled Systems of Hamilton-Jacobi Equations, June 2000
  6. Raimund Bürger and Kenneth H. Karlsen, A strongly degenerate convection-diffusion Problem modeling centrifugation of flocculated Suspensions, June 2000
  7. Steinar Evje, Kenneth H. Karlsen and Nils H. Risebro, A continous dependence Result for nonlinear degenerate parabolic Equations with spatially dependent flux Function, June 2000
  8. Fred E. Benth, Kenneth H. Karlsen and Kristin Reikvam, Portfolio optimization in a lévy Market with intertemporal substitution and transaction Costs, May 2000
  9. Fred E. Benth, Kenneth H. Karlsen and Kristin Reikvam, Optimal portfolio Management Rules in a non-Gaussian Market with durability and intertemporal Substitutions, May 2000
  10. Kenneth H. Karlsen and Nils. H. Risebro, On the uniqueness and Stability of entropy Solutions of nonlinear degenerate parabolic Equations with rough Coefficients, May 2000
  11. Fred E. Benth, Kenneth H. Karlsen and Kristin Reikvam, A Note on Portfolio optimization in a levy Market with local Substitution and habit Formation, May 2000
  12. Kenneth H. Karlsen and Nils. H. Risebro, Unconditionally stable Methods for Hamilton-Jacobi Equations, May 2000
  13. Fred Espen Benth, Kenneth H. Karlsen and Kristin Reikvam, A Note on Portfolio Management under non-Gaussian Logreturns, February 2000
  14. Espen R. Jakobsen, Kenneth H. Karlsen and Nils H. Risebro, On the Convergence Rate of Operator splitting for Hamilton-Jacobi Equations with Source Terms, February 2000
  15. Inge K. Eliassen and Jarle Berntsen, Using a $\sigma$-coordinate numerical ocean model for simulating the circulation at Ormen Lange, January 2000
  16. Kenneth H. Karlsen, K.-A. Lie, J.R. Natvig, H.F. Nordhaug and H.K. Dahle, Operator splitting Methods for Systems of Convection-diffusion Equations: nonlinear Error Mechanisms and Corrections Strategies, January 2000
  17. Kenneth H. Karlsen and Nils Henrik Risebro, A note on front tracking and the equivalence between viscosity solutions of Hamilton-Jacobi equations and entropy solutions of scalar conservation laws, January 2000
  18. Jarle Berntsen, USERS GUIDE for a modesplit $\sigma$-coordinate numerical Ocean model, Version 1.0, January 2000
1999:
  1. Helge Holden, Kenneth H. Karlsen and Knut-Andreas Lie, Operator splitting Methods for degenerate convection-diffusion Equations II: Numerical Examples with Emphasis on Reservoir Simulation and Sedimentation, December 1999
  2. Øystein Rognes and Xue-Cheng Tai, Space Decomposition Methods for nonsymmetric parabolic Problems, November 1999
  3. Helge Holden, Kenneth H. Karlsen and Knut-Andreas Lie, Operator splitting Methods for degenerate convection-diffusion Equations I: convergence and Entropy Estimates, October 1999
  4. R. Bürger and K. Hvistendahl Karlsen, Analysis and numerics of strongly degenerate convection-diffusion Problems Modelling sedimentation-consolidation Processes, September 1999
  5. Xue-Cheng Tai, Rate of convergence for Subspace corretion Methods for nonlinear variational Inequalities, September 1999
  6. Tor Eldevik, On Energy in a Sigma coordinate Ocean Model, August 1999
  7. R. Bürger, S. Evje and K. Hvistendahl Karlsen, On strongly degenerate convection-diffusion Problems modeling Sedimentation-Consolidation Processes, August 1999
  8. K. Hvistendahl Karlsen K.-A. Lie and N.H. Risebro, A fast Level Set Method for Reservoir Simulation, May 1999
  9. V. Haugse, K.H. Karlsen K.-A. Lie and J.R. Natvig, Numerical Solution of the Polymer System by Front Tracking, May 1999
  10. Trygve K. Nilssen, Xue-Cheng Tai and Ragnar Winther, A robust Nonconforming H2-Element, March 1999
  11. Xue-Cheng Tai, Convergence Rate Analysis of Domain Decomposition Methods for Obstacle Problems, January 1999
  12. Magne S. Espedal and Kenneth H. Karlsen, Numerical Solution of Reservoir Flow Models based on large Time Step Operators splitting Algorithms, January 1999
1998:
  1. Helge Holden, Kenneth H. Karlsen and Nils H. Risebro, Operator splitting Methods for generalized Korteweg de Vries Equations, November 1998
  2. Kåre Utaaker, Vilhelm Bjerknes og Bergensskolen Forelesning holdt på Matematisk institutt Universitetet i Bergen 22.04.1998, October 1998
  3. Xue-Cheng Tai and Paul Tseng, Convergence Rate Analysis of an Asynchronous space Decomposition Method for Convex Minimization, August 1998
  4. Sigve Tjøtta, Theoretical Investigation of Heat and streaming enerated by high Intensity Ultrasound, July 1998
  5. Steinar Evje and Kenneth Hvistendahl Karlsen, Discrete Approximations of BV solutions to Doubly Nonlinear degenerate Parabolic Equations, May 1998
  6. Kåre Utaaker, Lecture on Carl Ludvig Schreiner Godske, held at the Department of Mathematics, University of Bergen 3rd December 1997. (in Norwegian), April 1998
  7. Steinar Evje and Kenneth Hvistendahl Karlsen, Degenerate Convection-Diffusion Equations and Implicit Monotone Difference Schemes, March 1998
  8. Steinar Evje and Kenneth Hvistendahl Karlsen, Monotone Difference Approximation of BV Solutions to Degenerate Convection-Diffusion Equations, March 1998
  9. X.-C. Tai and Jinchao Xu, Global Convergence of Subspace Correction Methods for Convex Optimization Problems, March 1998
1997:
  1. X.-C. Tai, J. Frøyen, M. S. Espedal and T. F. Chan, Overlapping domain Decomposition and multigrid Methods for inverse Problems, November 1997
  2. Kari Brusdal, Helge K. Dahle, Kenneth Hvistendahl Karlsen and Trond Mannseth, A Study of the Modelling Error in two Operator Splitting Algorithms for porous Media Flow, September 1997
  3. Xue-Cheng Tai, Parallel Function Decomposition Methods and Numerical Applications, September 1997
  4. Leif E. Engevik, On the Solution of the Solitary Wave Problem, July 1997
  5. Kenneth Hvistendahl Karlsen K.-A. Lie, N.H. Risebro and J. Frøyen, A Front Tracking Approach to a Two-Phase fluid Flow Model with Capillary Forces, April 1997
  6. Kenneth Hvistendahl Karlsen and Nils Henrik Risebro, Corrected Operator Splitting for Nonlinear Parabolic Equations, April 1997
  7. Jarle Berntsen, Dag L. Aksnes and Arne Foldvik, Fresh Water driven primary Production in a Fjord, March 1997
  8. Xue-Cheng Tai, A Space Decomposition Method for parabolic Equations, February 1997
  9. Brit Gunn Ersland and Magne S. Espedal, Numerical Methods for Flow in a Porous Media with Internal Boundaries, February 1997
  10. K. Hvistendahl Karlsen, K. Brusdal, H.K. Dahle, S. Evje and K-A. Lie, The corrected Operator Splitting Approach applied to a Nonlinear Advection-Diffusion problem, January 1997
1996:
  1. Magne S. Espedal and Xue-Cheng Tai, Rate of Convergence of a Space Decomposition method and Applications to Linear and Nonlinear Elliptic Problems, September 1996
  2. Magne S. Espedal and Xue-Cheng Tai, A hybrid Domain Decomposition Method for Advection-Diffusion Problems, September 1996
  3. Kenneth Hvistendahl Karlsen and Nils Henrik Risebro, An Operator Splitting Method for Convection-Diffusion Equations, January 1996
1995:
  1. Jarle Berntsen and Terje Espelid, Propagation of Shallow Water Inertia-Gravity Waves with Fractional Step Methods, July 1995
  2. Knut S. Eckhoff and Carl Erik Wasberg, On the numerical approximation of derivatives by a modified Fourier collocation method, July 1995
  3. Helge K. Dahle, ELLAM-based Operator Splitting for Nonlinear Advection-Diffusion Equations, June 1995
1994:
  1. Not written
  2. Not written
  3. Xue-Cheng Tai, Parallell function decomposition and space decomposition methods. Part II. Applications to splitting and domain decomposition, April 1994
  4. Xue-Cheng Tai, Parallell function decomposition and space decomposition methods. Part I. Theory, April 1994
1993:
  1. Xue-Cheng Tai and Tommi Kärkkäinen, Identification of a nonlinear parameter in a parabolic equation by a linear approach, March 1993
1991:
  1. Rune Teigland, On Multilevel Methods for Numerical Reservoir Simulation, October 1991
  2. Leif E. Engevik, A Note on the Wave Field in the Surface Zone, July 1991
  3. Kjell-Eivind Frøysa, Linear and weakly nonlinear propagation of a pulsed-sound beam, June 1991
  4. Edel Reiso, Nonlinear Equations of Acoustics in Inhomogeneous, Thermoviscous Fluids, March 1991
1990:
  1. Hans-Christen Salvesen, Interaction of a real Sound Beam at a Two-fluid Interface, August 1990
  2. G. Berge and J. P. Freidberg, Stellarator-Tokamak Configurations, January 1990
1989:
  1. Erlend H. Vefring, Nonlinear Propagation and Interaction of Collinear Sound Beams, October 1989
1988:
  1. H. K. Dahle, Adaptive Characteristic Operator Splitting Techniques for Convection-Dominated Diffusion Problems in One and Two Space Dimensions, December 1988
1987:
  1. K. S. Eckhoff, Linear waves and stability in ideal magnethohydrodynamics, May 1987
  2. T. Barkve, Solution of a non-strictly system modelling non-isothermal two-phase flow in a porous medium, April 1987
  3. J. Berntsen, On the use of the Richtmyer procedure to compute a finite amplitude sound beam from a piston source, April 1987
1986:
  1. J. Berntsen and E. Vefring, Numerical computation of a finite amplitude sound beam, November 1986
  2. T. Mannseth, Sound propagation in the Pekeris model of acoustic shallow water: Validity of the Ray, and discrete normal mode solutions in the vicinity of mode dutoff's, January 1986
1985:
  1. S. I. Aanonsen, Nonlinear Effects During Transcient Fluid Flow in Reservoirs as Encountered in Well-Test Analysis, March 1985
  2. T. Barkve, A study of the Verigin problem with application to analysis of water injection tests, March 1985
1984:
  1. T. Mannseth, Sound propagation in the Pekeris waveguide with application to directional sources, November 1984
  2. Ø. Pettersen, Numerical solution of the Buckley-Leverett equation with a general fractional flow function, November 1984
  3. Ø. Pettersen, The nearfield of a high frequency amplitude shaded baffled piston. An analytical/numerical investigation, July 1984
1983:
  1. L. K. Sandal, Influence of equilibrium flows on viscous tearing modes, December 1983
  2. S. I. Aanonsen, Numerical computation of the nearfield of a three- dimensional complex integrals, September 1983
  3. J. Berntsen, User-documentation. Program HALF. A subroutine for numerical evaluation of three-dimensional complex integrals, Spring 1983
1980:
  1. A. H. Øien, A quasi moment description of the evolution of an electron gas towards a state dominated by a reduced transport equation, September 1980
  2. F. Oliveira-Pinto, Argument reduction for elementary mathematical functions: An overview, July 1980
1979:
  1. L. E. Engevik, Amplitude evolution equation for linearly unstable modes in stratified shear flows, November 1979
  2. S. Storøy, An efficient least distance algorithm based on a general quadratic programming method, November 1979
1978:
  1. E. N. Håland, Stability of an inverted pendulum with hard spring and oscillating support, December 1978
  2. T. O. Espelid, On floating-point sumation, December 1978
  3. H. Hobæk and S. Tjøtta, Theory of parametic acoustic arrays, July 1978
  4. A. H. Øien, Kinetic equation for an electron gas (non-neutral) plasma in strong fileds and inhomogenities, June 1978
1977:
  1. S. D. Flåm, Convergence in law of a series of $\varphi$-mixing random variables implies convergence in probability, August 1977
  2. A. H. Øien, Corrections to a classical kinetic and transport theory for a twotemperature, fully ionized plasma in elctromagnetic fields, June 1977
1976:
  1. E. Mæland, A time-dependent model of coastal currents and upwelling, June 1976
  2. L. Storesletten, A note on the stability of steady indiviscid helical gas flows, January 1976
1975:
  1. T. O. Espelid, On replacement-selection and Dinsmore's improvement, August 1975
  2. E. Mæland, Mass transport induced by wave motion in a stratified and rotating fluid, August 1975
  3. E. N. Håland and G. Berge, Dynamic stabilization of the m=1 instability in a diffuse linear pinch, July 1975
  4. K. S. Eckhoff and L. Storesletten, On the stability of shear flow in a rotating compressible and inviscid fluid, July 1975
  5. L. Storesletten, A note on the stability of horizontal shear flow of an inviscid compressible fluid, July 1975
  6. K. S. Eckhoff, On stability in ideal compressible hydrodynamics, May 1975
  7. K. S. Eckhoff, Stability problems for linear hyperbolic systems, May 1975
  8. A. H. Øien, On the evolution of a two component, two temperature fully ionized plasma in electromagnetic fields, January 1975
1974:
  1. I. S. Helland, A random exchange model with constant decrements, December 1974
  2. E. Mæland, Mass transport induced by wave motion in a rotating fluid, October 1974
  3. T. O. Espelid, An algorithm for internal merging of two subsets with small extra storage requirements, September 1974
  4. K. S. Eckhoff, The propagation of discontinuities for linea hyperbolic partial differential equations, August 1974
  5. E. Mjølhus, Application of the reductive pertubation method to long hydromagnetic waves parallel to the magnetic field in a cold plasma, May 1974
  6. M. S. Espedal, A procedure to solve the Fokker Plank - Poisson equations consistently, April 1974
1973:
  1. M. S. Espedal, The effects of trapped and untrapped particles on an electrostatic wave packet, December 1973
  2. G. Dahl and S. Storøy, Enumeration of vertices in the linear programming problem, October 1973
  3. J. Naze Tjøtta and S. Tjøtta, On the mass transport induced bytime-dependent oscillations of nonhomogeneous fluid. II General results for a liquid, August 1973
  4. L. Engevik, Pertubation about neutral solutions occuring in shear flows in stratified, incompressible and viscid fluids, June 1973
  5. J. Naze Tjøtta and S. Tjøtta, On the mass transport induced by time-dependent oscillations of finite amplitude in a nonhomogeneous fluid. I General results for a perfect gas, May 1973
  6. H. B. Drange, On the Boltzmann equation with external forces, April 1973
  7. A. H. Øien, Kinetic theory for evolution of a plasma in external electromagnetic fields toward a state characterized by balance of forces transverse to the magnetic field, April 1973
  8. M. Aksland, On the twodimentional birth and death process with mutation, January 1973
1972:
  1. J. Naze Tjøtta and S. Tjøtta, Sur le transport de masse produit par des oscillations en milieu compressible, dissipatif et inhomogene, December 1972
  2. H. B. Drange, The linearized Boltzman collision operator for cut-off potentials, December 1972
  3. T. O. Espelid, On the behaviour of the secant method near a multiple root, September 1972
  4. I. Eidhammer, A minimum resource sorting method, June 1972
  5. S. Nissen-Meyer, Some theorem on the problem of reversibility of mathematical models, April 1972, (This report is a revised issue of report 31)
1971:
  1. A. Bertelsen, A. Svardal and S. Tjøtta, Non-linear streaming effects associated with oscillating cylinders, December 1971
  2. L. Hinderaker, On the foundations of the method of matched asymptotic approximations to two meeting orthogonal boundary-layers, December 1971
  3. S. Nissen-Meyer, A note on the problem of reversi bility of mathematical models. (Preliminary issue), December 1971
  4. E. Mæland, Application of the Galerkin's method on the problem of cellular gradients, November 1971
  5. T. Leversen and J. Naze Tjøtta, Solution of a stationary Fokker plank equation, June 1971
  6. O. Faltinsen and S. Tjøtta, Interaction between sound waves propagating in the same direction, April 1971
1970:
  1. K. S. Eckhoff, On stability. Part IV. Nonlinear partial differential equations, October 1970
  2. A. H. Øien., Derivation of kinetic equations of a plasma using a multiple time and space scale method, September 1970
  3. M S. Espedal, The effects of ion-ion collision on a ion-acoustic plasma pulse, April 1970
1969:
  1. K. B. Dysthe, On the stability of a cylindrical surface-film, December 1969
  2. K. S. Eckhoff, Part III: The energy principle in MHD, December 1969
  3. K. S. Eckhoff, On stability. Part II: Linear problems, December 1969
  4. K. S. Eckhoff, On stability. Part I: General theory, November 1969
  5. J. Naze Tjøtta and A. H. Øien, Kinetic theory of a weakly coupled and weakly inhomogeneous plasma in a magnetic field, August 1969
  6. M. S. Espedal, Hydrodynamic equations for a F.L.R. plasma, August 1969
  7. A. H. Øien and J. Naze Tjøtta, Kinetic theory of a weakly coupled and weakly inhomogeneous gas, June 1969
  8. A. Svardal and S. Tjøtta, Oscillatory viscous flows in the vicinity of a cylinder, June 1969
1968:
  1. K. B. Dysthe, Force on a small inclusion in a standing acoustic wave, July 1968
  2. Not written
  3. K. B. Dysthe, Self-trapping and self-focusing of electromagnetic waves in a plasma, May 1968
1967:
    Report NTNF, L. Storesletten, On non-linear magneto-hydrodynamic wave motion in dissipative media, September 1967
  1. L. Engevik, On a stability problem in hydrodynamics. Part II, January 1967
1966:
  1. L. Engevik, On the stability of plane inviscid couette flow, November 1966
  2. L. Engevik, On a stability problem in hydro dynamics. Part 1, November 1966
  3. S. Tjøtta, Some non-linear effects in sound fields, July 1966
  4. L. Engevik, On linear and non-linear hydro magnetic vortex motion generated by the interaction of a gravity wave with a solid boundary, April 1966
1965:
  1. K. B. Dysthe, On convective and absolute instability, November 1965
  2. A. Svardal, On acoustical streaming between two coaxial cylinders, May 1965
  3. G. Berge, On the stability of a rotating plasma from the two fluid equations including finite radius of gyration effects, May 1965
  4. 5. K. J. Overholt, Extended Aitken acceleration, March 1965
1964:
  1. K. B. Dysthe, On nonlinear interaction between two beams of plane electromagnetic waves in an anisotropic medium, December 1964
  2. J. Falnes, Coaxial waveguide consisting of a circular metal tube surrounding a coaxial unidirectionally conducting sheet, August 1965
  3. G. Berge, On the stability of a magnetized plasma with a continous density force field, June 1964
  4. A. Kildal and S. Tjøtta, On acoustic streaming in magneto- hydrodynamics, February 1964

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