Nils Henrik Risebro

Bilde av Nils Henrik Risebro
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Telefon +47 22856027
Mobiltelefon +47 92437734
Rom 1011
Brukernavn
Besøksadresse Moltke Moes vei 35 Niels Henrik Abels hus 0851 Oslo
Postadresse Postboks 1053 Blindern 0316 Oslo
Emneord: Matematikk, Partielle differensiallikninger

Publikasjoner

  • Coclite, Giuseppe Maria; Holden, Helge & Risebro, Nils Henrik (2021). Singular diffusion with Neumann boundary conditions. Nonlinearity. ISSN 0951-7715. 34(3), s. 1633–1662. doi: 10.1088/1361-6544/abde9d.
  • Hoel, Håkon; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik & Storrøsten, Erlend Briseid (2020). Numerical methods for conservation laws with rough flux. Stochastics and Partial Differential Equations: Analysis and Computations. ISSN 2194-0401. 8(1), s. 186–261. doi: 10.1007/s40072-019-00145-7. Fulltekst i vitenarkiv
  • Coclite, Giuseppe Maria; Chatterjee, Neelabja & Risebro, Nils Henrik (2019). Well-posedness of the Initial Value Problem for the Ostrovsky–Hunter Equation with Spatially Dependent Flux. Milan Journal of Mathematics. ISSN 1424-9286. 87(2), s. 283–301. doi: 10.1007/s00032-019-00302-6. Fulltekst i vitenarkiv
  • Holden, Helge & Risebro, Nils Henrik (2019). Models for dense multilane vehicular traffic. SIAM Journal on Mathematical Analysis. ISSN 0036-1410. 51(5), s. 3694–3713. doi: 10.1137/19M124318X. Fulltekst i vitenarkiv
  • Risebro, Nils Henrik & Ruf, Adrian Montgomery (2019). Numerical investigations into a model of partially incompressible two-phase flow in pipes. SeMA Journal - Boletin de la Sociedad Española de Matemática Aplicada. ISSN 2254-3902. s. 1–17. doi: 10.1007/s40324-019-00207-9. Fulltekst i vitenarkiv
  • Coclite, Giuseppe Maria & Risebro, Nils Henrik (2019). A difference method for the McKean–Vlasov equation. Zeitschrift für Angewandte Mathematik und Physik. ISSN 0044-2275. 70(5), s. 1–24. doi: 10.1007/s00033-019-1196-x. Fulltekst i vitenarkiv
  • Risebro, Nils Henrik (2019). Three models for two phase flow in porous media. Vietnam Journal of Mathematics. ISSN 2305-221X. s. 1–15. doi: 10.1007/s10013-019-00367-1. Fulltekst i vitenarkiv
  • Hoel, Håkon; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik & Storrøsten, Erlend Briseid (2018). Path-dependent convex conservation laws. Journal of Differential Equations. ISSN 0022-0396. 265(6), s. 2708–2744. doi: 10.1016/j.jde.2018.04.045. Fulltekst i vitenarkiv
  • Holden, Helge & Risebro, Nils Henrik (2018). Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Networks and Heterogeneous Media. ISSN 1556-1801. 13(3), s. 409–421. doi: 10.3934/nhm.2018018. Fulltekst i vitenarkiv
  • Holden, Helge & Risebro, Nils Henrik (2018). Continuum limit of Follow-the-Leader models – a short proof. Discrete and Continuous Dynamical Systems. Series A. ISSN 1078-0947. 38(2), s. 715–722. doi: 10.3934/dcds.2018031. Fulltekst i vitenarkiv
  • Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik & Storrøsten, Erlend Briseid (2017). Practical Convergence Rates for Degenerate Parabolic Equations. I Gosse, Laurent & Natalini, Roberto (Red.), Innovative Algorithms and Analysis. Springer. ISSN 978-3-319-49261-2. s. 243–263. Fulltekst i vitenarkiv
  • Risebro, Nils Henrik; Schwab, Christoph & Weber, Franziska (2017). Correction to: Multilevel Monte Carlo front-tracking for random scalar conservation laws (BIT Numerical Mathematics, (2016), 56, 1, (263-292), 10.1007/s10543-015-0550-4). BIT Numerical Mathematics. ISSN 0006-3835. 58(1), s. 247–255. doi: 10.1007/s10543-017-0670-0. Fulltekst i vitenarkiv
  • Koley, Ujjwal; Risebro, Nils Henrik; Schwab, Christoph & Weber, Franziska Leonie (2017). A multilevel Monte Carlo finite difference method for random scalar degenerate convection–diffusion equations. Journal of Hyperbolic Differential Equations. ISSN 0219-8916. 14(3), s. 415–454. doi: 10.1142/S021989161750014X. Fulltekst i vitenarkiv
  • Coclite, Giuseppe Maria; Ridder, Johanna & Risebro, Nils Henrik (2017). A Convergent Finite Difference Scheme for the Variational Heat Equation. Zeitschrift für Angewandte Mathematik und Physik. ISSN 0044-2275. 68(6). doi: 10.1007/s00033-017-0871-z. Fulltekst i vitenarkiv
  • Coclite, Giuseppe Maria; Ridder, Johanna & Risebro, Nils Henrik (2017). A convergent finite difference scheme for the Ostrovsky-Hunter equation on a bounded domain. BIT Numerical Mathematics. ISSN 0006-3835. 57(1), s. 93–122. doi: 10.1007/s10543-016-0625-x.
  • Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph & Tokareva, Svetlana (2016). Numerical solution of scalar conservation laws with random flux functions. SIAM/ASA Journal on Uncertainty Quantification (JUQ). ISSN 2166-2525. 4(1), s. 552–591. doi: 10.1137/120896967.
  • Dutta, Rajib & Risebro, Nils Henrik (2016). A note on the convergence of a crank-nicolson scheme for the KDV equation. International Journal of Numerical Analysis & Modeling. ISSN 1705-5105. 13(5), s. 657–675.
  • Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik & Storrøsten, Erlend Briseid (2016). On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions. Mathematical Modelling and Numerical Analysis. ISSN 0764-583X. 50(2), s. 499–539. doi: 10.1051/m2an/2015057.
  • Coclite, Giuseppe Maria; Reichmann, Oleg & Risebro, Nils Henrik (2016). A convergent difference scheme for a class of partial integro-differential equations modeling pricing under uncertainty. SIAM Journal on Numerical Analysis. ISSN 0036-1429. 54(2), s. 588–605. doi: 10.1137/15M1025530.
  • Dutta, Rajib; Holden, Helge; Koley, Ujjwal & Risebro, Nils Henrik (2016). Convergence of finite difference schemes for the Benjamin–Ono equation. Numerische Mathematik. ISSN 0029-599X. 134(2), s. 249–274. doi: 10.1007/s00211-015-0778-6.
  • Risebro, Nils Henrik; Schwab, Christoph & Weber, Franziska Leonie (2016). Multilevel Monte Carlo front-tracking for random scalar conservation laws. BIT Numerical Mathematics. ISSN 0006-3835. 56(1), s. 263–292. doi: 10.1007/s10543-015-0550-4.
  • Dutta, Rajib; Koley, Ujjwal & Risebro, Nils Henrik (2015). Convergence of a higher order scheme for the korteweg-de vries equation. SIAM Journal on Numerical Analysis. ISSN 0036-1429. 53(4), s. 1963–1983. doi: 10.1137/140982532.
  • Dutta, Rajib; Holden, Helge; Koley, Ujjwal & Risebro, Nils Henrik (2015). Operator splitting for the Benjamin-Ono equation. Journal of Differential Equations. ISSN 0022-0396. 259(11), s. 6694–6717. doi: 10.1016/j.jde.2015.08.002. Fulltekst i vitenarkiv
  • Holden, Helge; Koley, Ujjwal & Risebro, Nils Henrik (2015). Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation. IMA Journal of Numerical Analysis. ISSN 0272-4979. 35(3), s. 1047–1077. doi: 10.1093/imanum/dru040. Fulltekst i vitenarkiv
  • Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik & Storrøsten, Erlend Briseid (2014). L1 error estimates for difference approximations of degenerate convection-diffusion equations. Mathematics of Computation. ISSN 0025-5718. 83(290), s. 2717–2762. doi: 10.1090/S0025-5718-2014-02818-4.
  • Coclite, Giuseppe Maria; Mishra, Siddhartha; Risebro, Nils Henrik & Weber, Franziska Leonie (2014). Analysis and numerical approximation of Brinkman regularization of two-phase flows in porous media. Computational Geosciences. ISSN 1420-0597. 18(5), s. 637–659. doi: 10.1007/s10596-014-9410-6.
  • Agrell, Christian & Risebro, Nils Henrik (2014). Convergence of a relaxation scheme for a 2 × 2 triangular system of conservation laws. International Journal of Numerical Analysis & Modeling. ISSN 1705-5105. 11(1), s. 148–171.
  • Holden, Helge; Priuli, Fabio Simone & Risebro, Nils Henrik (2014). On an inverse problem for scalar conservation laws. Inverse Problems. ISSN 0266-5611. 30(3). doi: 10.1088/0266-5611/30/3/035015.
  • Fuchs, Franz Georg; McMurry, Andrew David; Risebro, Nils Henrik & Mishra, Siddhartha (2014). Explicit and implicit finite volume schemes for radiation MHD and the effects of radiation on wave propagation in stratified atmospheres. I Ancona, Fabio; Bressan, Alberto; Marcati, Pierangelo & Marson, Andrea (Red.), Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the Fourteenth International Conference on Hyperbolic Problems held in Padova, June 25-29, 2012. American Institute of Mathematical Sciences (AIMS) Press. ISSN 978-1-60133-017-8. s. 41–59.
  • Holden, Helge; Lubich, Christian & Risebro, Nils Henrik (2013). Operator splitting for partial differential equations with Burgers nonlinearity. Mathematics of Computation. ISSN 0025-5718. 82, s. 173–185. doi: 10.1090/S0025-5718-2012-02624-X.
  • Koley, Ujjwal & Risebro, Nils Henrik (2013). Finite difference schemes for the symmetric Keyfitz-Kranzer system. Zeitschrift für Angewandte Mathematik und Physik. ISSN 0044-2275. 64(4), s. 1057–1085. doi: 10.1007/s00033-012-0292-y.
  • Risebro, Nils Henrik & Weber, Franziska Leonie (2013). A note on front tracking for the Keyfitz-Kranzer system. Journal of Mathematical Analysis and Applications. ISSN 0022-247X. 407(2), s. 190–199. doi: 10.1016/j.jmaa.2013.05.026.
  • Frid, Hermano; Risebro, Nils Henrik & Sande, Hilde (2013). SPATIALLY PERIODIC SOLUTIONS FOR GAS FLOWS WITH PRESSURE DEPENDING ON A VARIABLE COEFFICIENT. Journal of Hyperbolic Differential Equations. ISSN 0219-8916. 10(1), s. 129–148. doi: 10.1142/S0219891613500057.
  • Koley, Ujjwal; Mishra, Siddhartha; Risebro, Nils Henrik & Svärd, Magnus (2012). Higher-order finite difference schemes for the magnetic induction equations with resistivity. IMA Journal of Numerical Analysis. ISSN 0272-4979. 32(3), s. 1173–1193. doi: 10.1093/imanum/drq030.
  • Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik & Koley, Ujjwal (2012). An error estimate for the finite difference approximation to degenerate convection-diffusion equations. Numerische Mathematik. ISSN 0029-599X. 121(2), s. 367–395. doi: 10.1007/s00211-011-0433-9.
  • Coclite, Giuseppe Maria; Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha & Risebro, Nils Henrik (2012). A HYPERBOLIC-ELLIPTIC MODEL OF TWO-PHASE FLOW IN POROUS MEDIA EXISTENCE OF ENTROPY SOLUTIONS. International Journal of Numerical Analysis & Modeling. ISSN 1705-5105. 9(3), s. 562–583.
  • Andreianov, Boris; Karlsen, Kenneth Hvistendahl & Risebro, Nils Henrik (2011). A Theory of L (1)-Dissipative Solvers for Scalar Conservation Laws with Discontinuous Flux. Archive for Rational Mechanics and Analysis. ISSN 0003-9527. 201(1), s. 27–86. doi: 10.1007/s00205-010-0389-4.
  • Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik & Tao, T (2011). OPERATOR SPLITTING FOR THE KdV EQUATION. Mathematics of Computation. ISSN 0025-5718. 80(274), s. 821–846. doi: 10.1090/S0025-5718-2010-02402-0.
  • Fuchs, Franz Georg; McMurry, Andrew David; Mishra, Siddhartha; Risebro, Nils Henrik & Waagan, Knut (2011). Approximate Riemann Solvers and Robust High-Order Finite Volume Schemes for Multi-Dimensional Ideal MHD Equations. Communications in Computational Physics. ISSN 1815-2406. 9(2), s. 324–362. doi: 10.4208/cicp.171109.070510a.
  • Andreianov, Boris; Karlsen, Kenneth Hvistendahl & Risebro, Nils Henrik (2010). ON VANISHING VISCOSITY APPROXIMATION OF CONSERVATION LAWS WITH DISCONTINUOUS FLUX. Networks and Heterogeneous Media. ISSN 1556-1801. 5(3), s. 617–633. doi: 10.3934/nhm.2010.5.617.
  • Fuchs, Franz Georg; McMurry, Andrew David; Mishra, Siddhartha; Risebro, Nils Henrik & Waagan, Knut (2010). Finite Volume Methods for Wave Propagation in Stratified Magneto-Atmospheres. Communications in Computational Physics. ISSN 1815-2406. 7(3), s. 403–638. doi: 10.4208/cicp.2009.08.154.
  • Holden, Helge; Risebro, Nils Henrik & Sande, Hilde (2010). Front tracking for a model of immiscible gas flow with large data. BIT Numerical Mathematics. ISSN 0006-3835. 50(2), s. 331–376. doi: 10.1007/s10543-010-0264-6.
  • Coclite, Giuseppe Maria; Mishra, Siddhartha & Risebro, Nils Henrik (2010). CONVERGENCE OF AN ENGQUIST-OSHER SCHEME FOR A MULTI-DIMENSIONAL TRIANGULAR SYSTEM OF CONSERVATION LAWS. Mathematics of Computation. ISSN 0025-5718. 79(269), s. 71–94. doi: 10.1090/S0025-5718-09-02251-0.
  • Fuchs, Franz Georg; McMurry, Andrew David; Mishra, Siddhartha; Risebro, Nils Henrik & Waagan, Knut (2010). High order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres. Journal of Computational Physics. ISSN 0021-9991. 229(11), s. 4033–4058. doi: 10.1016/j.jcp.2010.01.038.
  • Holden, Helge; Risebro, Nils Henrik & Sande, Hilde (2009). Convergens of front tracking and the Glimm scheme for a model of the flow of immiscible gases. I Tadmor, Eitan; Liu, Jian-Guo & Tzavaras, Athanasios E. (Red.), Hyperbolic Problems: Theory, Numerics and Applications. American Mathematical Society (AMS). ISSN 978-0-8218-4728-2. s. 653–662.
  • Risebro, Nils Henrik (2009). An introduction to scalar conservation laws with spatially discontinuous flux functions. I Soomere, Tarmo (Red.), Applied wave mathematics. Springer. ISSN 978-3-642-00584-8. s. 395–464.
  • Holden, Helge; Risebro, Nils Henrik & Sande, Hilde (2009). Convergence of front tracking and the Glimm scheme for a model of the flow of immiscible gases. I Tadmor, Eitan (Red.), Hyperbolic Problems: Theory, Numerics and Applications. American Mathematical Society (AMS). ISSN 978-0-8218-4728-2. s. 653–662.
  • Fuchs, Franz Georg; Mishra, Siddhartha & Risebro, Nils Henrik (2009). Splitting based finite volume schemes for ideal MHD equations. Journal of Computational Physics. ISSN 0021-9991. 228(3), s. 641–660. doi: 10.1016/j.jcp.2008.09.027.
  • Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha & Risebro, Nils Henrik (2009). WELL-BALANCED SCHEMES FOR CONSERVATION LAWS WITH SOURCE TERMS BASED ON A LOCAL DISCONTINUOUS FLUX FORMULATION. Mathematics of Computation. ISSN 0025-5718. 78(265), s. 55–78.
  • Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha & Risebro, Nils Henrik (2009). Convergence of finite volume schemes for triangular systems of conservation laws. Numerische Mathematik. ISSN 0029-599X. 111(4), s. 559–589. doi: 10.1007/s00211-008-0199-x.
  • Holden, Helge; Risebro, Nils H. & Sande, Hilde (2009). THE SOLUTION OF THE CAUCHY PROBLEM WITH LARGE DATA FOR A MODEL OF A MIXTURE OF GASES. Journal of Hyperbolic Differential Equations. ISSN 0219-8916. 6(1), s. 25–106.
  • Holden, Helge; Karlsen, KH & Risebro, N.H. (2009). A convergent finite-difference method for a nonlinear variational wave equation. IMA Journal of Numerical Analysis. ISSN 0272-4979. 29(3), s. 539–572. doi: 10.1093/imanum/drn026.
  • Koley, Ujjwal; Mishra, Siddhartha; Risebro, Nils Henrik & Svärd, Magnus (2009). Higher order finite difference schemes for the magnetic induction equations. BIT Numerical Mathematics. ISSN 0006-3835. 49(2), s. 375–395. doi: 10.1007/s10543-009-0219-y.
  • Risebro, Nils Henrik; Karlsen, Kenneth Hvistendahl & Coclite, Giuseppe Maria (2009). Convergence of vanishing viscos- ity approximations of 2x2 triangular systems of multi-dimensional conservation laws. Bollettino dell'Unione Matematica Italiana, Sezione B.. ISSN 0392-4041. 9(2), s. 275–284.
  • Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha & Risebro, Nils Henrik (2009). Semi-Godunov schemes for multiphase flows in porous media. Applied Numerical Mathematics. ISSN 0168-9274. 59(9), s. 2322–2336. doi: 10.1016/j.apnum.2008.12.019.
  • Karlsen, Kenneth Hvistendahl; Fuchs, Franz Georg; Mishra, Siddhartha & Risebro, Nils Henrik (2009). Stable upwind schemes for the magnetic induction equation. Mathematical Modelling and Numerical Analysis. ISSN 0764-583X. 43(5), s. 825–852. doi: 10.1051/m2an/2009006.
  • Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha & Risebro, Nils Henrik (2008). A large-time-stepping scheme for balance equations. Journal of Engineering Mathematics. ISSN 0022-0833. 60, s. 351–363. doi: 10.1007/s10665-007-9164-4.
  • Coclite, GM; Karlsen, Kenneth Hvistendahl & Risebro, Nils Henrik (2008). Numerical schemes for computing discontinuous solutions of the Degasperis-Procesi equation. IMA Journal of Numerical Analysis. ISSN 0272-4979. 28. doi: 10.1093/imanum/drm003.
  • Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik & Coclite, Giuseppe Maria (2008). A convergent finite difference scheme for the Camassa-Holm equation with general H^1 initial data. SIAM Journal on Numerical Analysis. ISSN 0036-1429. 46, s. 1554–1579.
  • Risebro, Nils Henrik; Karlsen, Kenneth Hvistendahl & Coclite, Giuseppe Maria (2008). An explicit finite difference scheme for the Camassa-Holm equation. Advances in Difference Equations. ISSN 1687-1839. 13(7-8), s. 681–732.
  • Risebro, Nils Henrik; Karlsen, Kenneth Hvistendahl & Holden, Helge (2008). A convergent finite difference method for a variational wave equation. IMA Journal of Numerical Analysis. ISSN 0272-4979. s. 1–34. doi: 10.1093/imanum/drn026.
  • Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha & Risebro, Nils Henrik (2008). Semi-Godunov schemes for general triangular systems of conservation laws. Journal of Engineering Mathematics. ISSN 0022-0833. 60. doi: 10.1007/s10665-007-9163-5.
  • Coclite, Giuseppe Maria & Risebro, Nils Henrik (2007). Viscosity solutions of Hamilton-Jacobi equations with discontinuous coefficients. Journal of Hyperbolic Differential Equations. ISSN 0219-8916. 4(4), s. 771–795.
  • Holden, Helge; Karlsen, Kenneth Hvistendahl & Risebro, Nils Henrik (2007). Convergent difference schemes for the Hunter-Saxton equation. Mathematics of Computation. ISSN 0025-5718. 76, s. 699–744.
  • Coclite, Giuseppe Maria & Risebro, Nils Henrik (2005). Conservation laws with time dependent discontinuous coefficients. SIAM Journal on Mathematical Analysis. ISSN 0036-1410. 36.
  • Burger, R; Karlsen, Kenneth Hvistendahl & Risebro, Nils Henrik (2005). A relaxation scheme for continuous sedimentation in ideal clarifier-thickener units. Computers and Mathematics with Applications. ISSN 0898-1221. 50(7), s. 687–704.
  • Burger, Raimund; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik & Towers, John D. (2004). Monotone difference approximations for the simulation of clarifier-thickener units. Computing and Visualization in Science. ISSN 1432-9360. 6, s. 83–91.
  • Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik & Towers, John D. (2004). Front tracking for scalar balance equations. Journal of Hyperbolic Differential Equations. ISSN 0219-8916. 1(1), s. 115–148.
  • Karlsen, Kenneth Hvistendahl ; Klingenberg, C & Risebro, NH (2004). A relaxation scheme for conservation laws with a discontinuous coefficient. Mathematics of Computation. ISSN 0025-5718. 73, s. 1235–1259.
  • Burger, R; Karlsen, Kenneth Hvistendahl ; Risebro, NH & Towers, JD (2004). Numerical methods for the simulation of continuous sedimentation in ideal clarifier-thickener units. International Journal of Mineral Processing. ISSN 0301-7516. 73, s. 209–228.
  • Burger, R; Karlsen, Kenneth Hvistendahl ; Risebro, NH & Towers, JD (2004). Well-posedness in BVt and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units. Numerische Mathematik. ISSN 0029-599X. 97, s. 25–65.
  • Risebro, Nils Henrik (2003). $L^1$ stability for entropy solutions of nonlinear degenerate parabolic convection-diffusion equations with discontinuous coefficients. Skrifter. ISSN 0368-6310. 3.
  • Risebro, Nils Henrik (2003). On a model for continuous sedimentation in vessels with discontinuously varying cross-sectional area. Hyperbolic Problems: Theory, Numerics, Applications.. s. 397–406.
  • Risebro, Nils Henrik (2003). Relaxation schemes for conservation laws with discontinuous coefficients. Hyperbolic Problems: Theory, Numerics, Applications.. s. 611–620.
  • Risebro, Nils Henrik (2003). A front tracking approach to a model of continuous sedimentation in ideal clarifier-thickener units. Nonlinear Analysis: Real world applications. ISSN 1468-1218. 4(3), s. 457–481.
  • Risebro, Nils Henrik (2003). When are HJB-equations for control problems with stochastic delay equations finite dimensional? Stochastic Analysis and Applications. ISSN 0736-2994. 21(3), s. 643–671.
  • Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik & Towers, John D. (2003). L^1 stability for entropy solutions of nonlinear degenerate parabolic convection-diffusion equations with discontinuous coefficients. Skrifter. ISSN 0368-6310. 13, s. 1–49.
  • Holden, Helge; Karlsen, Kenneth Hvistendahl & Risebro, Nils Henrik (2003). On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations. Electronic Journal of Differential Equations. ISSN 1550-6150. 46, s. 1–31.
  • Burger, Raimund; Karlsen, Kenneth Hvistendahl; Klingenberg, Christian & Risebro, Nils Henrik (2003). A front tracking approach to a model of continuous sedimentation in ideal clarifier-thickener units. Nonlinear Analysis: Real world applications. ISSN 1468-1218. 4(3), s. 457–481.
  • Karlsen, Kenneth Hvistendahl & Risebro, Nils Henrik (2003). On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients. Discrete and Continuous Dynamical Systems. Series A. ISSN 1078-0947. 9(5), s. 1081–1104.
  • Burger, Raimund; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik & Towers, John D. (2003). On a model for continuous sedimentation in vessels with discontinuously varying cross-sectional area. Proceedings / Hyperbolic Problems: Theory, Numerics, Applications. s. 397–406.
  • Karlsen, Kenneth Hvistendahl; Klingenberg, Christian & Risebro, Nils Henrik (2003). Relaxation schemes for conservation laws with discontinuous coefficients. Proceedings / Hyperbolic Problems: Theory, Numerics, Applications. s. 611–620.
  • Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik & Risebro, Nils Henrik (2003). On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic systems. Electronic Journal of Differential Equations. ISSN 1550-6150. 2003(46), s. 1–31.
  • Risebro, Nils Henrik & Karlsen, Kenneth Hvistendahl (2002). A note on front tracking and the equivalence between viscosity solutions of Hamilton-Jacobi equations and entropy solutions of scalar conservation laws. Nonlinear Analysis. ISSN 0362-546X. 50, s. 455–469.
  • Risebro, Nils Henrik & Karlsen, Kenneth Hvistendahl (2002). Unconditionally stable methods for Hamilton-Jacobi equations. Journal of Computational Physics. ISSN 0021-9991. 180, s. 710–735.
  • Risebro, Nils Henrik; Karlsen, Kenneth Hvistendahl & Towers, John D. (2002). Upwind difference approximations for degenerate parabolic convection diffusion equations with a discontinuous coefficient. IMA Journal of Numerical Analysis. ISSN 0272-4979. 22, s. 623–664.
  • Risebro, Nils Henrik; Karlsen, Kenneth Hvistendahl & Towers, John D. (2002). On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient. Electronic Journal of Differential Equations. ISSN 1550-6150. 93, s. 1–23.
  • Risebro, Nils Henrik (2002). On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient. Electronic Journal of Differential Equations. ISSN 1550-6150. s. 1–23.
  • Holden, Helge; Risebro, Nils Henrik & Hanche-Olsen, Harald (2002). The Riemann problem for an elastic string with a linear Hooke's law. Quarterly of Applied Mathematics. ISSN 0033-569X. 60(4), s. 695–705.

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  • Holden, Helge & Risebro, Nils Henrik (2021). Mathematical models of traffic flow . SIAM News. ISSN 0036-1437. 54(5).
  • Rasmussen, Atgeirr Flø; Floater, Michael S. & Risebro, Nils Henrik (2006). Reparametrization of surfaces using PDE methods.
  • Rasmussen, Atgeirr Flø; Floater, Michael S. & Risebro, Nils Henrik (2006). Reparametrization of surfaces using PDE methods.
  • Rasmussen, Atgeirr Flø; Floater, Michael S. & Risebro, Nils Henrik (2006). Reparametrization of surfaces using PDE methods.
  • Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik & Towers, John D. (2003). L1 stability for entropy solutions of nonlinear degenerate parabolic convection-diffusion equations with discontinuous coefficients. Eprint no 8, Universitetet i Oslo. ISSN 82-553-1370-2.
  • Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik & Towers, John D. (2003). Front tracking for scalar balance equations. Eprint no 9, Universitetet i Oslo. ISSN 82-553-1371-0.

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Publisert 13. nov. 2010 14:30 - Sist endret 20. mai 2020 09:52

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