Studies in Applied Mathematics最新文献

Asymptotic Properties of Special Function Solutions of the Painlevé III Equation for Fixed Parameters

IF 2.6 2区数学

Studies in Applied Mathematics Pub Date : 2025-04-23 DOI: 10.1111/sapm.70051

Hao Pan, Andrei Prokhorov

{"title":"Asymptotic Properties of Special Function Solutions of the Painlevé III Equation for Fixed Parameters","authors":"Hao Pan, Andrei Prokhorov","doi":"10.1111/sapm.70051","DOIUrl":"https://doi.org/10.1111/sapm.70051","url":null,"abstract":"In this paper, we compute the small and large <math>\u0000 <semantics>\u0000 <mi>x</mi>\u0000 <annotation>$x$</annotation>\u0000 </semantics></math> asymptotics of the special function solutions of the Painlevé-III equation in the complex plane. We use the representation in terms of Toeplitz determinants of Bessel functions obtained by Masuda. Toeplitz determinants are rewritten as multiple contour integrals using Andrèief's identity. The small and large <math>\u0000 <semantics>\u0000 <mi>x</mi>\u0000 <annotation>$x$</annotation>\u0000 </semantics></math> asymptotics are obtained using elementary asymptotic methods applied to the multiple contour integral. The asymptotics is extended to the whole complex plane using analytic continuation formulas for Bessel functions. The claimed result has not appeared in the literature before. We note that the Toeplitz determinant representation is useful for numerical computations of corresponding solutions of the Painlevé-III equation.","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/sapm.70051","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143861851","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Preface: Recent Advances in the Analysis and Simulation of Compressible Flow Problems: The 75th Anniversary of the Landmark Report by Lagerstrom, Cole, and Trilling (1949)#

IF 2.6 2区数学

Studies in Applied Mathematics Pub Date : 2025-04-18 DOI: 10.1111/sapm.70052

Pedro M. Jordan, James V. Lambers, Bailey Rester

引用次数: 0

Augmented Total Variation Regularization in Radon-Type Inverse Problems

IF 2.6 2区数学

Studies in Applied Mathematics Pub Date : 2025-04-17 DOI: 10.1111/sapm.70053

Nicholas E. Protonotarios, Nikolaos Dikaios, Dimosthenis Kaponis, Antonios Charalambopoulos

{"title":"Augmented Total Variation Regularization in Radon-Type Inverse Problems","authors":"Nicholas E. Protonotarios, Nikolaos Dikaios, Dimosthenis Kaponis, Antonios Charalambopoulos","doi":"10.1111/sapm.70053","DOIUrl":"https://doi.org/10.1111/sapm.70053","url":null,"abstract":"We introduce the augmented total variation (<math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>T</mi>\u0000 <mi>V</mi>\u0000 </mrow>\u0000 <annotation>$TV$</annotation>\u0000 </semantics></math>) regularization method for Radon-type inverse problems. Our novel approach incorporates a dual variable into the regularization process, thereby extending and essentially augmenting traditional <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>T</mi>\u0000 <mi>V</mi>\u0000 </mrow>\u0000 <annotation>$TV$</annotation>\u0000 </semantics></math> regularization techniques. The proposed method is robust, requiring only one algorithmic iteration to achieve accurate reconstructions. Numerical experiments on a modified Shepp–Logan phantom demonstrate that the augmented <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>T</mi>\u0000 <mi>V</mi>\u0000 </mrow>\u0000 <annotation>$TV$</annotation>\u0000 </semantics></math> regularization consistently yields higher structural similarity index metric (SSIM) values and lower mean absolute difference (MAD) values compared to filtered backprojection and standard <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>T</mi>\u0000 <mi>V</mi>\u0000 </mrow>\u0000 <annotation>$TV$</annotation>\u0000 </semantics></math> regularization. These findings indicate that our method not only reduces reconstruction errors but also preserves structural details.","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/sapm.70053","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143846004","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On Asymptotic Behaviors of Acoustic Waves Due to High-Contrast Material Inclusions

IF 2.6 2区数学

Studies in Applied Mathematics Pub Date : 2025-04-16 DOI: 10.1111/sapm.70048

Yueguang Hu, Hongyu Liu

{"title":"On Asymptotic Behaviors of Acoustic Waves Due to High-Contrast Material Inclusions","authors":"Yueguang Hu, Hongyu Liu","doi":"10.1111/sapm.70048","DOIUrl":"https://doi.org/10.1111/sapm.70048","url":null,"abstract":"This paper investigates the asymptotic behaviors of time-harmonic acoustic waves generated by an incident wave illuminating inhomogeneous medium inclusions with high-contrast material parameters. We derive sharp asymptotic estimates and obtain several effective acoustic obstacle scattering models when the material parameters take extreme values. The results clarify the connection between inhomogeneous medium scattering and obstacle scattering for acoustic waves, providing a clear criterion for identifying the boundary conditions of acoustic obstacles in practice. The contributions of this paper are twofold. First, we provide a rigorous mathematical characterization of the classical sound-hard and sound-soft obstacle scattering models. We demonstrate that a sound-hard obstacle can be viewed as an inhomogeneous medium inclusion with infinite mass density, while a sound-soft obstacle corresponds to an inclusion with zero mass density and zero bulk modulus. Second, we introduce two novel acoustic obstacle scattering models when the mass density of the inclusion degenerates to zero. These new models offer a fresh perspective on considering inhomogeneous medium inclusions with high-contrast material parameters.","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/sapm.70048","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143840585","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Large Deviation Principles of Fractional Stochastic Nonclassical Diffusion Equations on Unbounded Domains 无界域上分数随机非经典扩散方程的大偏差原理

IF 2.6 2区数学

Studies in Applied Mathematics Pub Date : 2025-04-14 DOI: 10.1111/sapm.70042

Zhang Chen, Bixiang Wang, Dandan Yang

引用次数: 0

Dilation Theorem Via Schrödingerization, With Applications to the Quantum Simulation of Differential Equations

IF 2.6 2区数学

Studies in Applied Mathematics Pub Date : 2025-04-07 DOI: 10.1111/sapm.70047

Junpeng Hu, Shi Jin, Nana Liu, Lei Zhang

{"title":"Dilation Theorem Via Schrödingerization, With Applications to the Quantum Simulation of Differential Equations","authors":"Junpeng Hu, Shi Jin, Nana Liu, Lei Zhang","doi":"10.1111/sapm.70047","DOIUrl":"https://doi.org/10.1111/sapm.70047","url":null,"abstract":"<div>\u0000 \u0000 Nagy's unitary dilation theorem in the operator theory asserts the possibility of dilating a contraction into a unitary operator. When used in quantum computing, its practical implementation primarily relies on block-encoding techniques, based on finite-dimensional scenarios. In this study, we delve into the recently devised Schrödingerization approach and demonstrate its viability as an alternative dilation technique. This approach is applicable to operators in the form of <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>V</mi>\u0000 <mo>(</mo>\u0000 <mi>t</mi>\u0000 <mo>)</mo>\u0000 <mo>=</mo>\u0000 <mi>exp</mi>\u0000 <mo>(</mo>\u0000 <mo>−</mo>\u0000 <mi>A</mi>\u0000 <mi>t</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$V(t)=exp (-At)$</annotation>\u0000 </semantics></math>, which arises in wide-ranging applications, particularly in solving linear ordinary and partial differential equations. Importantly, the Schrödingerization approach is adaptable to both finite- and infinite-dimensional cases, in both countable and uncountable domains. For quantum systems lying in infinite-dimensional Hilbert space, the dilation involves adding a single infinite dimensional mode, and this is the continuous-variable version of the Schrödingerization procedure which makes it suitable for analog quantum computing. Furthermore, by discretizing continuous variables, the Schrödingerization method can also be effectively employed in finite-dimensional scenarios suitable for qubit-based quantum computing.</div>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143786885","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Evolution of Dispersal in Open Advective Patchy Environments

IF 2.6 2区数学

Studies in Applied Mathematics Pub Date : 2025-04-06 DOI: 10.1111/sapm.70049

Qiang Li, Chen Cheng, Xiaoqian Feng, Peng Zhou

引用次数: 0

Issue Information-TOC

IF 2.6 2区数学

Studies in Applied Mathematics Pub Date : 2025-04-02 DOI: 10.1111/sapm.70050

引用次数: 0

The Darboux Matrices With a Single Multiple Pole and Their Applications

IF 2.6 2区数学

Studies in Applied Mathematics Pub Date : 2025-04-02 DOI: 10.1111/sapm.70046

Yu-Yue Li, Deng-Shan Wang

{"title":"The Darboux Matrices With a Single Multiple Pole and Their Applications","authors":"Yu-Yue Li, Deng-Shan Wang","doi":"10.1111/sapm.70046","DOIUrl":"https://doi.org/10.1111/sapm.70046","url":null,"abstract":"<div>\u0000 \u0000 Darboux transformation (DT) plays a key role in constructing explicit closed-form solutions of completely integrable systems. This paper provides an algebraic construction of Darboux matrices with a single multiple pole for the <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mn>2</mn>\u0000 <mo>×</mo>\u0000 <mn>2</mn>\u0000 </mrow>\u0000 <annotation>$2times 2$</annotation>\u0000 </semantics></math> Lax pair, in which the coefficient matrices are polynomials of spectral parameter. This special DT can handle the case where the spectral parameter coincides with its conjugate spectral parameter under non-Hermitian reduction. The first-order monic Darboux matrix is constructed explicitly and its classification theorem is presented. Then by using the solutions of the corresponding adjoint Lax pair, the <math>\u0000 <semantics>\u0000 <mi>n</mi>\u0000 <annotation>$n$</annotation>\u0000 </semantics></math>-order monic Darboux matrix and its inverse, both sharing the same unique pole, are derived explicitly. Further, a theorem is proposed to describe the invariance of Darboux matrix regarding pole distributions in Darboux matrix and its inverse. Finally, a unified theorem is offered to construct formal DT in general form. That is, all Darboux matrices expressible as the product of <math>\u0000 <semantics>\u0000 <mi>n</mi>\u0000 <annotation>$n$</annotation>\u0000 </semantics></math> first-order monic Darboux matrices can be constructed in this way. The nonlocal focusing NLS equation, the focusing NLS equation, and the Kaup–Boussinesq equation are taken as examples to illustrate the application of these DTs.</div>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749863","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Blow-Up of Radially Symmetric Solutions for a Cubic NLS-Type System in Dimension 4

IF 2.6 2区数学

Studies in Applied Mathematics Pub Date : 2025-03-26 DOI: 10.1111/sapm.70044

Maicon Hespanha, Ademir Pastor

引用次数: 0