《计算数学进展》在计算数学和应用数学前沿发表高质量、可访问的原创文章，具有明显的跨科学影响潜力。该杂志强调三个核心领域:近似理论和计算几何;数值分析、建模及模拟;成像、信号处理和数据分析。本杂志欢迎广大数学科学读者能够阅读的论文，这些论文要么显示了计算方法的进步，要么显示了一个新的科学应用领域，要么两者兼而有之。方法论文应依靠严谨的分析和/或令人信服的数值研究。
Advances in Computational Mathematics publishes high quality, accessible and original articles at the forefront of computational and applied mathematics, with a clear potential for impact across the sciences. The journal emphasizes three core areas: approximation theory and computational geometry; numerical analysis, modelling and simulation; imaging, signal processing and data analysis.This journal welcomes papers that are accessible to a broad audience in the mathematical sciences and that show either an advance in computational methodology or a novel scientific application area, or both. Methods papers should rely on rigorous analysis and/or convincing numerical studies.