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1

Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws

Fjordholm, Ulrik S., Mishra, Siddhartha, Tadmor, Eitan

Journal:

SIAM Journal on Numerical Analysis

Year:

2012

Language:

english

File:

PDF, 1.70 MB

english, 2012

2

On the computation of measure-valued solutions

Fjordholm, Ulrik S., Mishra, Siddhartha, Tadmor, Eitan

Journal:

Year:

2016

Language:

english

File:

PDF, 8.63 MB

english, 2016

3

Statistical solutions of hyperbolic systems of conservation laws: Numerical approximation

Fjordholm, U. S., Lye, K., Mishra, S., Weber, F.

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2020

File:

PDF, 4.40 MB

2020

4

Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography

Ulrik S. Fjordholm, Siddhartha Mishra, Eitan Tadmor

Journal:

Journal of Computational Physics

Year:

2011

Language:

english

File:

PDF, 1.05 MB

english, 2011

5

Construction of Approximate Entropy Measure-Valued Solutions for Hyperbolic Systems of Conservation Laws

Fjordholm, Ulrik S., Käppeli, Roger, Mishra, Siddhartha, Tadmor, Eitan

Journal:

Foundations of Computational Mathematics

Year:

2017

Language:

english

File:

PDF, 10.34 MB

english, 2017

6

Entropy Stable Scheme on Two-Dimensional Unstructured Grids for Euler Equations

Ray, Deep, Chandrashekar, Praveen, Fjordholm, Ulrik S., Mishra, Siddhartha

Journal:

Communications in Computational Physics

Year:

2016

Language:

english

File:

PDF, 4.25 MB

english, 2016

7

Statistical Solutions of Hyperbolic Conservation Laws: Foundations

Fjordholm, U. S., Lanthaler, S., Mishra, S.

Journal:

Archive for Rational Mechanics and Analysis

Year:

2017

Language:

english

File:

PDF, 742 KB

english, 2017

8

Vorticity Preserving Finite Volume Schemes for the Shallow Water Equations

Fjordholm, Ulrik S., Mishra, Siddhartha

Journal:

SIAM Journal on Scientific Computing

Year:

2011

Language:

english

File:

PDF, 3.03 MB

english, 2011

9

ENO Reconstruction and ENO Interpolation Are Stable

Fjordholm, Ulrik S., Mishra, Siddhartha, Tadmor, Eitan

Journal:

Foundations of Computational Mathematics

Year:

2013

Language:

english

File:

PDF, 798 KB

english, 2013

10

Entropy Conservative and Entropy Stable Schemes for Nonconservative Hyperbolic Systems

Castro, Manuel J., Fjordholm, Ulrik S., Mishra, Siddhartha, Parés, Carlos

Journal:

SIAM Journal on Numerical Analysis

Year:

2013

Language:

english

File:

PDF, 637 KB

english, 2013

11

High-order accurate, fully discrete entropy stable schemes for scalar conservation laws

Zakerzadeh, H., Fjordholm, U. S.

Journal:

IMA Journal of Numerical Analysis

Year:

2015

Language:

english

File:

PDF, 662 KB

english, 2015

12

A Sign Preserving WENO Reconstruction Method

Fjordholm, Ulrik S., Ray, Deep

Journal:

Journal of Scientific Computing

Year:

2016

Language:

english

File:

PDF, 795 KB

english, 2016

13

Second-Order Convergence of Monotone Schemes for Conservation Laws

Fjordholm, Ulrik S., Solem, Susanne

Journal:

SIAM Journal on Numerical Analysis

Year:

2016

Language:

english

File:

PDF, 417 KB

english, 2016

14

[Handbook of Numerical Analysis] || Stability Properties of the ENO Method

Fjordholm, U.S.

Year:

2016

Language:

english

File:

PDF, 381 KB

english, 2016

15

Statistical solutions and Onsager’s conjecture

Fjordholm, U.S., Wiedemann, E.

Journal:

Physica D: Nonlinear Phenomena

Year:

2017

Language:

english

File:

PDF, 434 KB

english, 2017

16

Sharp uniqueness conditions for one-dimensional, autonomous ordinary differential equations

Fjordholm, Ulrik Skre

Journal:

Comptes Rendus Mathematique

Year:

2018

Language:

english

File:

PDF, 446 KB

english, 2018

17

Numerical Approximation of Statistical Solutions of Scalar Conservation Laws

Fjordholm, U. S., Lye, K., Mishra, S.

Journal:

SIAM Journal on Numerical Analysis

Year:

2018

Language:

english

File:

PDF, 671 KB

english, 2018

18

Accurate numerical discretizations of non-conservative hyperbolic systems

Fjordholm, Ulrik Skre, Mishra, Siddhartha

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2012

Language:

english

File:

PDF, 1.16 MB

english, 2012

19

A convergent finite volume method for the Kuramoto equation and related nonlocal conservation laws

Chatterjee, N, Fjordholm, U S

Journal:

IMA Journal of Numerical Analysis

Year:

2018

Language:

english

File:

PDF, 1.36 MB

english, 2018

20

A convergent finite volume method for the Kuramoto equation and related nonlocal conservation laws

Chatterjee, N, Fjordholm, U S

Journal:

IMA Journal of Numerical Analysis

Year:

2018

File:

PDF, 1.36 MB

2018

21

A second-order numerical method for the aggregation equations

Carrillo, JosÃ© A., Fjordholm, Ulrik S., Solem, Susanne

Journal:

Mathematics of Computation

Year:

2020

File:

PDF, 4.11 MB

2020