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2011, Graduate studies in mathematics, ISBN 0821853694, Volume 125, xviii, 236
Book
Computers and Mathematics with Applications, ISSN 0898-1221, 05/2016, Volume 71, Issue 10, pp. 1990 - 2000
Journal Article
Results in Mathematics, ISSN 1422-6383, 6/2013, Volume 63, Issue 3, pp. 1375 - 1394
In this paper we consider a kind of Riemann boundary value problem (for short RBVP) for null solutions to the iterated generalized Cauchy–Riemann operator and... 
Generalized Cauchy–Riemann operator | 30D10 | 32A25 | Clifford analysis | 58A10 | Poly-Cauchy type integral | Mathematics, general | 30G35 | Riemann boundary value problems | Mathematics | Generalized Cauchy-Riemann operator | MATHEMATICS | MATHEMATICS, APPLIED | DIRAC
Journal Article
by Ku, M and Wang, Y and He, FL and Kahler, U
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, ISSN 0188-7009, 09/2017, Volume 27, Issue 3, pp. 2493 - 2508
In this paper we are interested in finding solutions to Riemann-Hilbert boundary value problems, for short Riemann-Hilbert problems, with variable coefficients... 
SPACE | MATHEMATICS, APPLIED | Riemann-Hilbert problems | OPERATOR | equation Quaternion analysis | Generalized Cauchy-Riemann | BOUNDARY-VALUE-PROBLEMS | PHYSICS, MATHEMATICAL
Journal Article
International Journal of Non-Linear Mechanics, ISSN 0020-7462, 04/2019, Volume 110, pp. 16 - 20
This paper is devoted to obtain an exact solution to generalized Riemann problem for nonhomogeneous quasilinear hyperbolic system of partial differential... 
Nonhomogeneous rate-type material | Differential constraint method | Generalized Riemann problem | Exact solution | DIFFERENTIAL-CONSTRAINTS | MECHANICS | EQUATIONS | SYSTEMS | Differential equations | Rarefaction | Partial differential equations | Mathematical analysis | Hyperbolic systems | Exact solutions
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2013, Volume 403, Issue 2, pp. 434 - 450
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2019, Volume 472, Issue 1, pp. 1001 - 1027
We study an Eulerian droplet model which can be seen as the pressureless gas system with a source term, a subsystem of this model and the inviscid Burgers... 
Delta-shock waves | Blowup | Eulerian particle model | Burgers equation | Generalized Rankine–Hugoniot conditions | Source term | MATHEMATICS, APPLIED | HYPERBOLIC SYSTEMS | EQUATIONS | CAUCHY-PROBLEM | VISCOSITY | SIMULATION | UNIQUENESS | MATHEMATICS | VANISHING PRESSURE LIMIT | VACUUM STATES | Generalized Rankine-Hugoniot conditions | CONSERVATION-LAWS | INITIAL DATA
Journal Article
Mathematics, ISSN 2227-7390, 12/2018, Volume 6, Issue 12, p. 316
Riemann's method is one of the definitive ways of solving Cauchy's problem for a second order linear hyperbolic partial differential equation in two variables.... 
Hypergeometric function of several variables | Point symmetry | Generalized symmetry | Riemann function | Riemann's method | MATHEMATICS | SYMMETRY | INVERSE PROBLEM | EQUATIONS | hypergeometric function of several variables | point symmetry | OPERATORS | generalized symmetry | Riemann’s method
Journal Article
Integral Equations and Operator Theory, ISSN 0378-620X, 10/2014, Volume 80, Issue 2, pp. 239 - 264
We generalize the notion of $${\mathfrak{Q}}$$ Q -classes $${C_{{Q_1} {Q_2}}}$$ C Q 1 Q 2 , which was introduced in the context of Wiener–Hopf factorization,... 
15A24 | matrix equations | Analysis | Secondary 47B35 | Mathematics | Primary 47A68 | Toeplitz operators | factorization | Riemann–Hilbert problems | MATHEMATICS | MEROMORPHIC FACTORIZATION | GENERALIZED FACTORIZATION | Riemann-Hilbert problems | DOUGLAS | EXPLICIT FACTORIZATION | EQUATIONS | KHRAPKOV MATRIX FUNCTIONS | RUDIN
Journal Article
Computers and Fluids, ISSN 0045-7930, 06/2018, Volume 169, pp. 201 - 212
•A new solver for the GRP without an exact Riemann solver.•Turn any HLL-type Riemann solver into a GRP solver of any higher order.•No need to compute... 
Hyperbolic conservation laws | Generalized Riemann problems | High order finite volume methods | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ASYMPTOTIC-EXPANSION | EQUATIONS | SYSTEMS | HIGH-ORDER | CONSERVATION-LAWS | COMPRESSIBLE FLUID-FLOWS | SCHEMES | Environmental law
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 02/2014, Volume 259, pp. 358 - 389
Journal Article
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 02/2002, Volume 458, Issue 2018, pp. 271 - 281
We present a method for solving the generalized Riemann problem for partial differential equations of the advection–reaction type. The generalization of the... 
Conservation laws | Mathematical procedures | Error rates | Advection | Numerical methods | Scalars | Mathematical vectors | Riemann condition | Cauchy problem | Burger equation | Godunov | Advection-reaction | ADER | Generalized Riemann problem | advection-reaction | generalized Riemann problem | MULTIDISCIPLINARY SCIENCES
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 09/2012, Volume 64, Issue 6, pp. 1616 - 1626
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2012, Volume 386, Issue 1, pp. 343 - 363
A new concept of meromorphic Σ-factorization, for Hölder continuous functions defined on a contour Γ that is the pullback of R ˙ (or the unit circle) in a... 
Riemann surfaces | Toeplitz operators | Factorization | Riemann–Hilbert problems | Riemann-Hilbert problems | MATHEMATICS | MATHEMATICS, APPLIED | MATRIX FUNCTIONS | GENERALIZED FACTORIZATION
Journal Article