Siste publikasjoner - Beregningsorientert matematikk
Oversikt over de siste 100 publikasjonene fra forskere i forskningsgruppen for beregningsorientert matematikk ved Matematisk institutt registrert i Cristin.
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Ørke, Magnus Christie (2024). Highest waves for fractional Korteweg–De Vries and Degasperis–Procesi equations. Arkiv för matematik. ISSN 0004-2080. 62(1), s. 153–190. doi: 10.4310/ARKIV.2024.v62.n1.a9.
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Bendahmane, M.; Karlsen, Kenneth Aksel Hvistendahl & Mroué, F. (2024). Stochastic electromechanical bidomain model. Nonlinearity. ISSN 0951-7715. 37(7). doi: 10.1088/1361-6544/ad5132.
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Karlsen, Kenneth Aksel Hvistendahl & Rybalko, Ya. (2024). On the well-posedness of the Cauchy problem for the two-component peakon system in Ck∩Wk,1. Zeitschrift für Angewandte Mathematik und Physik. ISSN 0044-2275. 75(3). doi: 10.1007/s00033-024-02246-3.
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Floater, Michael S. (2024). Log-concavity of B-splines. Journal of Approximation Theory. ISSN 0021-9045. 300. doi: 10.1016/j.jat.2024.106042.
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Fjordholm, Ulrik Skre; Mæhlen, Ola Isaac Høgåsen & Ørke, Magnus Christie (2024). The particle paths of hyperbolic conservation laws. Mathematical Models and Methods in Applied Sciences. ISSN 0218-2025. doi: 10.1142/S0218202524500209. Fulltekst i vitenarkiv
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Coclite, Giuseppe Maria; Karlsen, Kenneth Aksel Hvistendahl & Risebro, Nils Henrik (2024). A nonlocal Lagrangian traffic flow model and the zero-filter limit. Zeitschrift für Angewandte Mathematik und Physik. ISSN 0044-2275. 75(2). doi: 10.1007/s00033-023-02153-z.
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Galimberti, Luca & Karlsen, Kenneth Aksel Hvistendahl (2024). Well-Posedness of Stochastic Continuity Equations on Riemannian Manifolds. Chinese Annals of Mathematics. Series B. ISSN 0252-9599. 45(1), s. 81–122. doi: 10.1007/s11401-024-0005-9.
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Karlsen, Kenneth Aksel Hvistendahl; Kunzinger, Michael & Mitrovic, Darko (2024). A DYNAMIC CAPILLARITY EQUATION WITH STOCHASTIC FORCING ON MANIFOLDS: A SINGULAR LIMIT PROBLEM. Transactions of the American Mathematical Society. ISSN 0002-9947. 377(1), s. 85–166. doi: 10.1090/tran/9050.
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Karlsen, Kenneth Aksel Hvistendahl & Rybalko, Ya. (2024). On the well-posedness of a nonlocal (two-place) FORQ equation via a two-component peakon system. Journal of Mathematical Analysis and Applications. ISSN 0022-247X. 529(1). doi: 10.1016/j.jmaa.2023.127601.
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Galimberti, Luca; Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl & Pang, Ho Cheung (2024). Global existence of dissipative solutions to the Camassa–Holm equation with transport noise. Journal of Differential Equations. ISSN 0022-0396. 387, s. 1–103. doi: 10.1016/j.jde.2023.12.021. Fulltekst i vitenarkiv
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Mæhlen, Ola Isaac Høgåsen; Varholm, Kristoffer & Ehrnstrom, Mats (2024). On the precise cusped behaviour of extreme solutions to Whitham-type equations. Annales de l'Institut Henri Poincare. Analyse non linéar. ISSN 0294-1449.
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Manni, Carla; Speleers, Hendrik & Lyche, Tom (2024). A local simplex spline basis for C3 quartic splines on arbitrary triangulations. Applied Mathematics and Computation. ISSN 0096-3003. 462. doi: 10.1016/j.amc.2023.128330. Fulltekst i vitenarkiv
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Christiansen, Snorre H; Gopalakrishnan, Jay; Guzmán, Johnny & Hu, Kaibo (2023). A discrete elasticity complex on three-dimensional Alfeld splits. Numerische Mathematik. ISSN 0029-599X. 156, s. 159–204. doi: 10.1007/s00211-023-01381-9. Fulltekst i vitenarkiv
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Hoel, Håkon Andreas & Ragunathan, Sankarasubramanian (2023). Higher-order adaptive methods for exit times of Itô diffusions. IMA Journal of Numerical Analysis. ISSN 0272-4979. doi: 10.1093/imanum/drad077. Fulltekst i vitenarkiv
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Berzins, Arturs (2023). Polyhedral Complex Extraction from ReLU Networks using Edge Subdivision. Proceedings of Machine Learning Research (PMLR). ISSN 2640-3498. 202, s. 2234–2244. Fulltekst i vitenarkiv
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Tai, Xue-Cheng; Winther, Ragnar; Zhang, Xiaodi & Zheng, Weiying (2023). A uniform preconditioned for a Newton algorithm for total-variation minimisation and minimum-surface problems. SIAM Journal on Numerical Analysis. ISSN 0036-1429. 61(5), s. 2062–2083. doi: 10.1137/22M1512776. Fulltekst i vitenarkiv
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Celledoni, Elena; Glöckner, Helge; Riseth, Jørgen Nilsen & Schmeding, Alexander (2023). Deep neural networks on diffeomorphism groups for optimal shape reparametrization. BIT Numerical Mathematics. ISSN 0006-3835. 63(4), s. 1–38. doi: 10.1007/s10543-023-00989-5. Fulltekst i vitenarkiv Vis sammendrag
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Tang, Hao (2023). On the stochastic Euler-Poincaré equations driven by pseudo-differential/multiplicative noise. Journal of Functional Analysis. ISSN 0022-1236. 285(9). doi: 10.1016/j.jfa.2023.110075. Fulltekst i vitenarkiv
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Musch, Markus; Rupp, Andreas; Aizinger, Vadym & Knabner, Peter (2023). Hybridizable discontinuous Galerkin method with mixed-order spaces for non-linear diffusion equations with internal jumps. GEM - International Journal on Geomathematics. ISSN 1869-2672. 14(1). doi: 10.1007/s13137-023-00228-7. Fulltekst i vitenarkiv
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Floater, Michael S. (2023). On a conjecture concerning interpolation by bivariate Bernstein polynomials. Journal of Approximation Theory. ISSN 0021-9045. 293. doi: 10.1016/j.jat.2023.105920. Fulltekst i vitenarkiv
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Brualdi, Richard A. & Dahl, Geir (2023). Multi-alternating sign matrices. The Electronic Journal of Linear Algebra. ISSN 1537-9582. 39, s. 261–282. doi: 10.13001/ela.2023.7471. Fulltekst i vitenarkiv
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Lyche, Tom ; Mørken, Knut Martin & Reif, Ulrich (2023). On the condition of cubic B-splines. Journal of Approximation Theory. ISSN 0021-9045. 289. doi: 10.1016/j.jat.2023.105883.
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Mæhlen, Ola Isaac Høgåsen & Xue, Jun (2023). One-sided Hölder regularity of global weak solutions of negative order dispersive equations. Journal of Differential Equations. ISSN 0022-0396. 364, s. 412–455. doi: 10.1016/j.jde.2023.03.048. Fulltekst i vitenarkiv Vis sammendrag
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Miao, Yingting; Rohde, Christian & Tang, Hao (2023). Well-posedness for a stochastic Camassa–Holm type equation with higher order nonlinearities. Stochastics and Partial Differential Equations: Analysis and Computations. ISSN 2194-0401. doi: 10.1007/s40072-023-00291-z. Fulltekst i vitenarkiv
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Christiansen, Snorre H; Halvorsen, Tore Gunnar & Scheid, Claire (2023). Convergence of a discretization of the Maxwell–Klein–Gordon equation based on finite element methods and lattice gauge theory. Numerical Methods for Partial Differential Equations. ISSN 0749-159X. 39, s. 3271–3308. doi: 10.1002/num.23008. Fulltekst i vitenarkiv
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Falk, Richard S. & Winther, Ragnar (2023). CONSTRUCTION OF POLYNOMIAL PRESERVING COCHAIN EXTENSIONS BY BLENDING. Mathematics of Computation. ISSN 0025-5718. 92(342), s. 1575–1594. doi: 10.1090/mcom/3819. Fulltekst i vitenarkiv
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Tang, Hao & Yang, Anita (2023). Noise effects in some stochastic evolution equations: Global existence and dependence on initial data. Annales de l'I.H.P. Probabilites et statistiques. ISSN 0246-0203. 59(1), s. 378–410. doi: 10.1214/21-AIHP1241. Fulltekst i vitenarkiv
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Tang, Hao & Wang, Zhi-An (2023). Strong solutions to a nonlinear stochastic aggregation-diffusion equation. Communications in Contemporary Mathematics. ISSN 0219-1997. doi: 10.1142/S0219199722500730.
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Dahl, Geir; Guterman, Alexander & Shteyner, Pavel (2023). Majorization for (0,±1)-matrices. Linear Algebra and its Applications. ISSN 0024-3795. 663, s. 200–221. doi: 10.1016/j.laa.2023.01.009. Fulltekst i vitenarkiv
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Falk, Richard S. & Winther, Ragnar (2022). The Bubble Transform and the de Rham Complex. Foundations of Computational Mathematics. ISSN 1615-3375. doi: 10.1007/s10208-022-09589-1. Fulltekst i vitenarkiv
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Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl & Pang, Ho Cheung (2022). Global well-posedness of the viscous Camassa–Holm equation with gradient noise. Discrete and Continuous Dynamical Systems. Series A. ISSN 1078-0947. 43(2), s. 568–618. doi: 10.3934/dcds.2022163. Fulltekst i vitenarkiv
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Chada, Neil; Hoel, Håkon Andreas; Jasra, Ajay & Zouraris, Georgios (2022). Improved Efficiency of Multilevel Monte Carlo for Stochastic PDE through Strong Pairwise Coupling. Journal of Scientific Computing. ISSN 0885-7474. 93(3). doi: 10.1007/s10915-022-02031-2. Fulltekst i vitenarkiv
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Hoel, Håkon Andreas; Shaimerdenova, Gaukhar & Tempone, Raul (2022). Multi-index ensemble Kalman filtering. Journal of Computational Physics. ISSN 0021-9991. 470. doi: 10.1016/j.jcp.2022.111561. Vis sammendrag
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Antun, Vegard (2022). Recovering Wavelet Coefficients from Binary Samples Using Fast Transforms. SIAM Journal on Scientific Computing. ISSN 1064-8275. 44(3), s. A1315–A1336. doi: 10.1137/21M1427188. Fulltekst i vitenarkiv
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Fjordholm, Ulrik Skre; Musch, Markus & Risebro, Nils Henrik (2022). Well-Posedness and Convergence of a Finite Volume Method for Conservation Laws on Networks. SIAM Journal on Numerical Analysis. ISSN 0036-1429. 60(2), s. 606–630. doi: 10.1137/21M145001X. Fulltekst i vitenarkiv
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Bendahmane, Mostafa & Karlsen, Kenneth Aksel Hvistendahl (2022). Martingale solutions of stochastic nonlocal cross-diffusion systems. Networks and Heterogeneous Media. ISSN 1556-1801. 17(5), s. 719–752. doi: 10.3934/nhm.2022024. Fulltekst i vitenarkiv
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Opitz, Thomas; Bakka, Haakon; Huser, Raphaël & Lombardo, Luigi (2022). High-resolution Bayesian mapping of landslide hazard with unobserved trigger event. Annals of Applied Statistics. ISSN 1932-6157. 16(3), s. 1653–1675. doi: 10.1214/21-AOAS1561.
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Frid, Hermano; Karlsen, Kenneth Aksel Hvistendahl & Marroquin, Daniel (2022). Homogenization of stochastic conservation laws with multiplicative noise. Journal of Functional Analysis. ISSN 0022-1236. 283(9), s. 1–63. doi: 10.1016/j.jfa.2022.109620. Fulltekst i vitenarkiv
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Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl & Pang, Ho Cheung (2022). Strong solutions of a stochastic differential equation with irregular random drift. Stochastic Processes and their Applications. ISSN 0304-4149. 150, s. 655–677. doi: 10.1016/j.spa.2022.05.006. Fulltekst i vitenarkiv
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Musch, Markus; Fjordholm, Ulrik Skre & Risebro, Nils Henrik (2022). Well-posedness theory for nonlinear scalar conservation laws on networks. Networks and Heterogeneous Media. ISSN 1556-1801. 17(1), s. 101–128. doi: 10.3934/nhm.2021025. Fulltekst i vitenarkiv
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Lyche, Tom ; Manni, Carla & Speleers, Hendrik (2022). Construction of C^2 Cubic Splines on Arbitrary Triangulations. Foundations of Computational Mathematics. ISSN 1615-3375. doi: 10.1007/s10208-022-09553-z. Fulltekst i vitenarkiv
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Christiansen, Snorre H & Hu, Kaibo (2022). Finite Element Systems for Vector Bundles: Elasticity and Curvature. Foundations of Computational Mathematics. ISSN 1615-3375. doi: 10.1007/s10208-022-09555-x. Fulltekst i vitenarkiv
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Colbrook, Matthew J.; Antun, Vegard & Hansen, Anders Christian (2022). The difficulty of computing stable and accurate neural networks: On the barriers of deep learning and Smale's 18th problem. Proceedings of the National Academy of Sciences of the United States of America. ISSN 0027-8424. 119(12). doi: 10.1073/pnas.2107151119. Fulltekst i vitenarkiv
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Fjordholm, Ulrik Skre & Lye, Kjetil Olsen (2022). Convergence Rates of Monotone Schemes for Conservation Laws for Data with Unbounded Total Variation. Journal of Scientific Computing. ISSN 0885-7474. 91. doi: 10.1007/s10915-022-01806-x. Fulltekst i vitenarkiv
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Kirkeby, Adrian (2022). Exact and approximate solutions to the Helmholtz, Schrödinger and wave equation in R3 with radial data. Wave motion. ISSN 0165-2125. 108. doi: 10.1016/j.wavemoti.2021.102841. Fulltekst i vitenarkiv
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Andrade, Enide; Ciardo, Lorenzo & Dahl, Geir (2022). Perron values and classes of trees. Linear Algebra and its Applications. ISSN 0024-3795. 639, s. 135–158. doi: 10.1016/j.laa.2022.01.005. Fulltekst i vitenarkiv
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Chatterjee, Neelabja & Fjordholm, Ulrik Skre (2020). A convergent finite volume method for the Kuramoto equation and related nonlocal conservation laws. IMA Journal of Numerical Analysis. ISSN 0272-4979. 40(1), s. 405–421. doi: 10.1093/imanum/dry074.
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Lyche, Tom ; Muntingh, Georg & Ryan, Øyvind (2020). Exercises in Numerical Linear Algebra and Matrix Factorizations. Springer Nature. ISBN 978-3-030-59788-7. 255 s.
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Lyche, Tom (2020). Numerical Linear Algebra and Matrix Factorizations. Springer Nature. ISBN 978-3-030-36467-0. 363 s.
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Ryan, Øyvind (2019). Linear Algebra, Signal Processing, and Wavelets - a Unified Approach. Python version. Springer Nature. ISBN 978-3-030-02939-5. 364 s.
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Ryan, Øyvind (2019). Linear Algebra, Signal Processing, and Wavelets - a Unified Approach. MATLAB version. Springer Nature. ISBN 978-3-030-01811-5. 360 s.
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Pang, Ho Cheung (2023). Convergence of stochastic integrals with weakly convergent integrands: applications to SPDEs.
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Pang, Ho Cheung (2023). The stochastic compactness method in SPDEs.
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Pang, Ho Cheung (2022). Second order commutator estimates in renormalisation theory for SPDEs with gradient-type noise.
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Antun, Vegard (2022). Hvorfor hallusinerer kunstig intelligens?
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Antun, Vegard (2022). Can all AI systems be computed?
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Antun, Vegard (2022). Can all AI systems be computed? -- Mathematical paradox demonstrates the limits of AI.
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Antun, Vegard (2022). AI-generated hallucinations: Why do they happen when stable/accurate NNs exist?
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Antun, Vegard (2022). Still no free lunch – On AI generated hallucinations and the accuracy-stability trade-off in inverse problems.
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Antun, Vegard (2022). Robustness of Deep Learning in Image Reconstruction.
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Antun, Vegard; Colbrook, Matthew & Hansen, Anders Christian (2022). Mathematical paradoxes unearth the boundaries of AI. TheScienceBreaker. ISSN 2571-9262. doi: 10.25250/thescbr.brk653.
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Antun, Vegard; Colbrook, Matthew J. & Hansen, Anders Christian (2022). Proving existence is not enough: Mathematical paradoxes unravel the limits of neural networks in AI. SIAM News. ISSN 0036-1437. 55(4), s. 1–4.
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Esmaeili, Morteza; Antun, Vegard; Vettukattil, Muhammad Riyas; BANITALEBI, HASAN; Krogh, Nina R. & Geitung, Jonn Terje (2021). Evaluation of Automated Brain Tumor Localization by Explainable Deep Learning Methods.
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Antun, Vegard (2021). AI generated hallucinations in the sciences - On the stability accuracy trade-off in deep learning.
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Antun, Vegard & Colbrook, Matthew (2021). On the barriers of AI and the trade-off between stability and accuracy in deep learning. Vis sammendrag
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Antun, Vegard & Seres, Silvija (2021). #1100: BIGDATA: Vegard Antun: AI & Deep learning som applikasjon og verktøy. [Internett]. Podcast.
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Antun, Vegard; Gottschling, Nina; Hansen, Anders Christian & Adcock, Ben (2021). Deep learning in scientific computing: Understanding the instability mystery. SIAM News. ISSN 0036-1437. 54(2), s. 3–5.
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Antun, Vegard (2019). On instabilities of deep learning in image reconstruction - Does AI come at a cost?
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Antun, Vegard (2019). On instabilities of deep learning in image reconstruction - Does AI come at a cost?
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Antun, Vegard (2019). On Instabilities of Deep Learning in Image Reconstruction - Part I.
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Antun, Vegard (2019). On instabilities of deep learning in image reconstruction.
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Lyche, Tom ; Merrien, Jean-Louis & Sauer, Tomas (2019). Polynomial Splines with Arbitrary Smoothness on Plane Triangulations. Vis sammendrag
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Lyche, Tom ; Merrien, Jean-Louis & Sauer, Tomas (2019). Simplex--Splines on the Clough--Tocher Split with Arbitrary Smoothness,
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Lyche, Tom ; Manni, Carla & Speleers, Hendrik (2019). Interesting Splits II.
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Lyche, Tom ; Manni, Carla & Speleers, Hendrik (2019). Interesting splits.
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Ruf, Adrian Montgomery (2019). Second-order numerical methods for nonlocal conservation laws.
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Ruf, Adrian Montgomery (2019). The optimal convergence rate of monotone schemes for conservation laws in the Wasserstein distance.
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Ruf, Adrian Montgomery (2019). A second-order scheme for a class of nonlocal conservation laws.
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Tellefsen, Cathrine Wahlstrøm & Mørken, Knut Martin (2019). Programmering i naturfag.
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Coclite, Giuseppe Maria; di Ruvo, Lorenzo & Karlsen, Kenneth Hvistendahl (2018). The initial-boundary-value problem for an Ostrovsky- Hunter type equation, Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume. European Mathematical Society (EMS) Press. ISSN 978-3-03719-186-6. s. 97–109.
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Tellefsen, Cathrine Wahlstrøm & Mørken, Knut Martin (2018). ProFag: realfaglig programmering.
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Tellefsen, Cathrine Wahlstrøm & Mørken, Knut Martin (2018). Programmering er mer enn koding.
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Tellefsen, Cathrine Wahlstrøm & Mørken, Knut Martin (2018). Programmering i naturfaget.
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Mørken, Knut Martin (2018). Computing in Science Education.
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Mørken, Knut Martin (2018). Emneutvikling og systematisk integrering av generiske ferdigheter i utdanningsprogrammene.
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Mørken, Knut Martin (2018). Utdanning og utveksling .
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Mørken, Knut Martin (2018). Programmering i skolen: muligheter og utfordringer.
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Mørken, Knut Martin (2018). Programmering i alle fag!
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Mørken, Knut Martin (2018). Om fagfornyelsen i matematikk.
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Mørken, Knut Martin & Sølna, Hanne (2018). An Evolving Culture for Learning in Practice.
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Mørken, Knut Martin (2018). Educational Development: Computing in Science Education in a Wider Perspective.
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Mørken, Knut Martin (2018). Some reflections on how computing can enhance the learning of mathematics.
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Solem, Susanne; Fjordholm, Ulrik Skre & Carrillo, José A (2018). A second-order numerical method for the aggregation equations.
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Muntingh, Agnar Georg Peder & Lyche, Tom (2018). B-spline-like simplex spline bases on the Powell-Sabin 12-split.
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Ruf, Adrian Montgomery (2018). A second-order method for nonlocal conservation laws.
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Dahl, Geir; Andrade, Enide & Ciardo, Lorenzo (2018). Combinatorial Perron Parameters and Trees.
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Ruf, Adrian Montgomery (2018). The Ostrovsky-Hunter equation with Dirichlet boundary conditions.
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Antun, Vegard (2020). Stability and accuracy in compressive sensing and deep learning. Universitetet i Oslo. Fulltekst i vitenarkiv Vis sammendrag