Splitting-Up Technique And Cubic Spline Approximations For Solving Modified Coupled Burgers' Equations,
2021
Faculty of Engineering, University of Aden
Splitting-Up Technique And Cubic Spline Approximations For Solving Modified Coupled Burgers' Equations, Anwar Abdulla Bassaif
Hadhramout University Journal of Natural & Applied Sciences
In this paper, a finite difference scheme based on the splitting-up technique and cubic spline approximations is developed for solving modified coupled Burgers' equations. The accuracy and stability of the scheme have been analyzed. It is found that the scheme is of first-order accuracy in time and second-order accuracy in space direction and is unconditionally stable. The numerical results are obtained with severe/moderate gradients in the initial and boundary conditions and the steady state solutions are plotted for different values of given parameters. It is concluded that the resulting scheme produces satisfactory results, even in the case of very severe …
A Clark-Ocone Type Formula Via Itô Calculus And Its Application To Finance,
2021
Keio University, 2-15-45 Mita, Minato-ku, Tokyo, 108-8345, Japan
A Clark-Ocone Type Formula Via Itô Calculus And Its Application To Finance, Takuji Arai, Ryoichi Suzuki
Journal of Stochastic Analysis
No abstract provided.
Algorithmic Correspondence For Relevance Logics, Bunched Implication Logics, And Relation Algebras Via An Implementation Of The Algorithm Pearl,
2021
University of the Witwatersrand, Johannesburg
Algorithmic Correspondence For Relevance Logics, Bunched Implication Logics, And Relation Algebras Via An Implementation Of The Algorithm Pearl, Willem Conradie, Valentin Goranko, Peter Jipsen
Mathematics, Physics, and Computer Science Faculty Articles and Research
The non-deterministic algorithmic procedure PEARL (acronym for ‘Propositional variables Elimination Algorithm for Relevance Logic’) has been recently developed for computing first-order equivalents of formulas of the language of relevance logics LR in terms of the standard Routley-Meyer relational semantics. It succeeds on a large class of axioms of relevance logics, including all so called inductive formulas. In the present work we re-interpret PEARL from an algebraic perspective, with its rewrite rules seen as manipulating quasi-inequalities interpreted over Urquhart’s relevant algebras, and report on its recent Python implementation. We also show that all formulae on which PEARL succeeds are canonical, i.e., …
Unary-Determined Distributive ℓ -Magmas And Bunched Implication Algebras,
2021
Chapman University
Unary-Determined Distributive ℓ -Magmas And Bunched Implication Algebras, Natanael Alpay, Peter Jipsen, Melissa Sugimoto
Mathematics, Physics, and Computer Science Faculty Articles and Research
A distributive lattice-ordered magma (dℓ-magma) (A,∧,∨,⋅) is a distributive lattice with a binary operation ⋅ that preserves joins in both arguments, and when ⋅ is associative then (A,∨,⋅) is an idempotent semiring. A dℓ-magma with a top ⊤ is unary-determined if x⋅y=(x⋅⊤∧y)∨(x∧⊤⋅y). These algebras are term-equivalent to a subvariety of distributive lattices with ⊤ and two join-preserving unary operations p, q. We obtain simple conditions on p, q such that x⋅y=(px∧y)∨(x∧qy) is associative, commutative, idempotent and/or has an identity element. This generalizes previous results on the structure of doubly idempotent semirings and, in the case when the …
Calculating Infinitesimal Generators,
2021
Hofstra University, Hempstead, NY 11549, USA
Calculating Infinitesimal Generators, Majnu John, Yihren Wu
Journal of Stochastic Analysis
No abstract provided.
Recursive And Viterbi Estimation For Semi-Markov Chains,
2021
University of South Australia, Campus Central - City West, GPO Box 2471
Recursive And Viterbi Estimation For Semi-Markov Chains, Robert J. Elliott, W. P. Malcolm
Journal of Stochastic Analysis
No abstract provided.
The N-Dimensional Quadratic Heisenberg Algebra As A “Non–Commutative” Sl(2,C),
2021
Universitá di Roma Tor Vergata, Via di Torvergata, Roma, Italy
The N-Dimensional Quadratic Heisenberg Algebra As A “Non–Commutative” Sl(2,C), Luigi Accardi, Andreas Boukas, Yun-Gang Lu
Journal of Stochastic Analysis
No abstract provided.
Rough Paths And Regularization,
2021
Institut Polytechnique de Paris, UMA, 828, boulevard des Maréchaux, F-91120 Palaiseau, France
Rough Paths And Regularization, André O. Gomes, Alberto Ohashi, Francesco Russo, Alan Teixeira
Journal of Stochastic Analysis
No abstract provided.
Three Questions From Cctm Teachers About Mathematical Modeling,
2021
North Lakes Academy, Minnesota
Three Questions From Cctm Teachers About Mathematical Modeling, Robyn Stankiewicz-Van Der Zanden, Rachel Levy
Colorado Mathematics Teacher
This article shares three questions and answers about mathematical modeling in the classroom from an April 2020 online conversation with participants of a CCTM webinar. We hope that the answers to these questions will motivate teachers to embrace the value of implementing math modeling tasks, help students see the math all around them in the world, and empower future professionals to reach for the mathematical tools in their pockets to make data-driven decisions.
Generalized Grassmann Algebras And Applications To Stochastic Processes,
2021
Chapman University
Generalized Grassmann Algebras And Applications To Stochastic Processes, Daniel Alpay, Paula Cerejeiras, Uwe Kaehler
Mathematics, Physics, and Computer Science Faculty Articles and Research
In this paper, we present the groundwork for an Itô/Malliavin stochastic calculus and Hida's white noise analysis in the context of a supersymmetry with Z3-graded algebras. To this end, we establish a ternary Fock space and the corresponding strong algebra of stochastic distributions and present its application in the study of stochastic processes in this context.
Generalized Girsanov Transform Of Processes And Zakai Equation With Jumps,
2021
Ritsumeikan Univ., Kusatsu, 525-8577, Japan
Generalized Girsanov Transform Of Processes And Zakai Equation With Jumps, Masatoshi Fujisaki, Takashi Komatsu
Journal of Stochastic Analysis
No abstract provided.
On The Uniqueness Of Solutions To Martingale Problems For Diffusion Operators With Progressively Measurable Random Coefficients,
2021
Kanazawa university, Kanazawa, 920-1192, Japan
On The Uniqueness Of Solutions To Martingale Problems For Diffusion Operators With Progressively Measurable Random Coefficients, Masaaki Tsuchiya
Journal of Stochastic Analysis
No abstract provided.
Particle Representation For The Solution Of The Filtering Problem. Application To The Error Expansion Of Filtering Discretizations,
2021
Imperial College London, Huxley's Building,180 Queen's Gate, London SW7 2AZ, United Kingdom
Particle Representation For The Solution Of The Filtering Problem. Application To The Error Expansion Of Filtering Discretizations, Dan Crisan, Thomas G. Kurtz, Salvador Ortiz-Latorre
Journal of Stochastic Analysis
No abstract provided.
An Anti-Symmetric Version Of Malliavin Calculus,
2021
Ritsumeikan University, 1-1-1 Nojihagashi, Kusatsu 525-8577, Japan
An Anti-Symmetric Version Of Malliavin Calculus, Jirô Akahori, Tomo Matsusita, Yasufumi Nitta
Journal of Stochastic Analysis
No abstract provided.
Eulerian Walk And Dna Sequence Assembly,
2021
Kennesaw State University
Eulerian Walk And Dna Sequence Assembly, Yifan Zhu
Symposium of Student Scholars
Children like jigsaw puzzles, and the way to assemble the puzzle is by putting together pieces that match, one by one, till the puzzle is complete. DNA sequence assembly could be thought of as something similar: when a strand of DNA is passed into a particular “sequencing machine”, it gives a large number of short reads of the DNA sequence. This type of technology is called shotgun sequencing. These reads form the jigsaw pieces in the puzzle and one must put together these pieces in an intelligent way to obtain the original sequence. There is, however, a catch here; apriori, …
Transfer Of Regularity For Markov Semigroups By Using An Interpolation Technique,
2021
LAMA (UMR CNRS, UPEMLV, UPEC), MathRisk INRIA, Université Gustave Eiffel, France
Transfer Of Regularity For Markov Semigroups By Using An Interpolation Technique, Vlad Bally, Lucia Caramellino
Journal of Stochastic Analysis
No abstract provided.
Integration By Parts Formula On Solutions To Stochastic Differential Equations With Jumps On Riemannian Manifolds,
2021
Osaka City University, Osaka, 558-8585, Japan
Integration By Parts Formula On Solutions To Stochastic Differential Equations With Jumps On Riemannian Manifolds, Hirotaka Kai, Atsushi Takeuchi
Journal of Stochastic Analysis
No abstract provided.
On The Exponential Moments Of Additive Processes,
2021
Kwansei Gakuin University, Sanda, Hyogo 669-1337, Japan
On The Exponential Moments Of Additive Processes, Tsukasa Fujiwara
Journal of Stochastic Analysis
No abstract provided.
Ergodicity Of Burgers' System,
2021
Jagiellonian University, Lojasiewicza 6, 30-348 Kraków, Poland
Ergodicity Of Burgers' System, Szymon Peszat, Krystyna Twardowska, Jerzy Zabczyk
Journal of Stochastic Analysis
No abstract provided.
Two Of Kunita's Papers On Stochastic Flows In Early 1980s,
2021
Kyushu University, Fukuoka 819-0395, Japan
Two Of Kunita's Papers On Stochastic Flows In Early 1980s, Setsuo Taniguchi
Journal of Stochastic Analysis
No abstract provided.
